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Electronic books
Abstract:
Recommended readings (Machine generated): Arrow, Kenneth J. (1970), 'Exposition of the Theory of Choice under Uncertainty', in K. Arrow (ed) (ed.), Essays in the Theory of Risk-bearing, Chapter 2, Amsterdam and Oxford: North-Holland, 44-89 -- Chichilnisky, G. and Ho-Mou Wu (2006), 'General Equilibrium with Endogenous Uncertainty and Default', Journal of Mathematical Economics, 42, May -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. and Ho-Mou Wu (2006), 'General Equilibrium with Endogenous Uncertainty and Default', Journal of Mathematical Economics, 42, May -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Antonelli, Giovanni Battista (1971), 'On the Mathematical Theory of Political Economy' ('Sulla teoria matematica della economia politica', 1886), translated by J.S. Chipman and A.P. Kirman, in John S. Chipman (ed), Leonid Hurwicz (ed), Marcel K. Richter (ed) and Hugo F. Sonnenschein (ed) (eds), Preferences, Utility, and Demand: A Minnesota Symposium, Chapter 16, New York: Harcourt Brace Jovanovich, 333-64 -- Debreu, Gerard (1976), 'Smooth Preferences: A Corrigendum', Econometrica, 41 (4), July 587-601 -- Arrow, Kenneth J. (1950), 'A Difficulty in the Concept of Social Welfare', Journal of Political Economy, LVIII, 328-46 -- Baryshnikov, Yuliy M. (1993), 'Unifying Impossibility Theorems: A Topological Approach', Advances in Applied Mathematics, 14, 404-15 -- Arrow, Kenneth J. (1950), 'A Difficulty in the Concept of Social Welfare', Journal of Political Economy, LVIII, 328-46 -- Chichilnisky, G. (1980), 'Social Choice and the Topology of Spaces of Preferences', Advances in Applied Mathematics, 37 (2), 165-176 -- Baryshnikov, Yuliy M. (1993), 'Unifying Impossibility Theorems: A Topological Approach', Advances in Applied Mathematics, 14, 404-15 -- Foley, Duncan K. (1976), 'Resource Allocation and the Public Sector', Yale Economic Essays, 17 (1), Spring, 45-98 with dedicatory passage -- Milgrom, Paul (1981), 'An Axiomatic Characterization of Common Knowledge', Econometrica, 49, (1), January, 219-22 -- Sen, Amartya and Prasanta K. Pattanaik (1969), 'Necessary and Sufficient Conditions for Rational Choice Under Majority Decision', Journal of Economic Theory, 1 (2), August, 178-202 -- Kalai, Ehud and Eitan Muller (1977), Characterization of Domains Admitting Nondictatorial Social Welfare Functions and Nonmanipulable Voting Procedures', Journal of Economic Theory, 16 (2), 457-69 -- Chichilnisky, G. and G.M. Heal (1983), 'Necessary and Sufficient Conditions for a Resolution of the Social Choice Paradox', Journal of Economic Theory, 31 (1), October, 68-87 -- Lauwers, L. (1995), Social Choice with Infinite Populations, Discussion Paper No. 101, Katholieke Universiteit Lueven -- Chichilnisky, G. and G.M. Heal (1983), 'Necessary and Sufficient Conditions for a Resolution of the Social Choice Paradox', Journal of Economic Theory, 31 (1), October, 68-87 -- Gibbard, Allan (1973), 'Manipulation of Voting Schemes: A General Result', Econometrica, 41 (4), July, 587-601 -- Chichilnisky, G. and G.M. Heal (1997), 'The Geometry of Implementation: A Necessary and Sufficient Condition for Straightforward Games', Social Choice and Welfare, 14, 259-94 -- Groves, Theodore and John Ledyard (1977), 'Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem', Econometrica, 45 (4), May 783-809 -- Chichilnisky, G. and G.M. Heal (1997), 'The Geometry of Implementation: A Necessary and Sufficient Condition for Straightforward Games', Social Choice and Welfare, 14, 259-94 -- Ali Khan, M. and Ye Neng Sun (1990), 'On Complete Regularity of Spaces of Economic Agents Endowed with the Order Topology', Archiv der Mathematik, 54 (1), January, 389-96 -- Sondermann, Dieter (1975), 'Smoothing Demand by Aggregation', Journal of Mathematical Economics, 2 (2), 201-23 -- Topkis, Donald M. (1978), 'Minimizing a Submodular Function on a Lattice', Operations Research, 26 (2), March-April, 305-21 -- Hahn, F.H. (1966), 'Equilibrium Dynamics with Heterogeneous Capital Goods', Quarterly Journal of Economics, XXC, 633-46 -- Heller, Walter Perrin (1971), 'Disequilibrium Dynamics of Competitive Growth Paths', Review of Economic Studies, XXXVIII (4), October, 385-400 -- Hotelling, Harold (1931), 'The Economics of Exhaustible Resources', Journal of Political Economy, 39 (2), April, 137-75 -- Ramsey, F.P. (1928), 'A Mathematical Theory of Saving', Economic Journal, XXXVIII (152), December, 543-59 -- Koopmans, Tjalling C. (1965), 'On the Concept of Optimal Economic Growth', Pontificiae Academiae Scientarium Scripta Varia, 28, 225-287 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- von Neumann, John (1945), 'A Model of General Economic Equilibrium', Review of Economic Studies, 13, 1-9 -- Radner, Roy (1961), 'Paths of Economic Growth that are Optimal with Regard Only to Final States: A Turnpike Theorem', Review of Economic Studies, XXVIII (2), February, 98-104 -- Ryder, Jr. (ed), Harl E. (ed) and Geoffrey M. Heal (ed) (1973), 'Optimal Growth with Intertemorally Dependent Preferences', Review of Economic Studies, XL (1), January, 1-31
Abstract:
Chichilnisky, G. (1977a), 'Nonlinear Functional Analysis and Optimal Economic Growth', Journal of Mathematical Analysis and Applications, 61 (2), 15 November, 504-20 -- Chichilnisky, G. and P.J. Kalman (1980), 'Application of Functional analysis to Models of Efficient Allocation of Economic Resources', Journal of Optimization Theory and Applications, 30 (1), January, 19-32 -- Chichilnisky, G. (1977a), 'Nonlinear Functional Analysis and Optimal Economic Growth', Journal of Mathematical Analysis and Applications, 61 (2), 15 November, 504-20 -- Chichilnisky, G. and P.J. Kalman (1980), 'Application of Functional analysis to Models of Efficient Allocation of Economic Resources', Journal of Optimization Theory and Applications, 30 (1), January, 19-32 -- Chichilnisky, G. (1977a), 'Nonlinear Functional Analysis and Optimal Economic Growth', Journal of Mathematical Analysis and Applications, 61 (2), 15 November, 504-20 -- Chichilnisky, G. and P.J. Kalman (1980), 'Application of Functional analysis to Models of Efficient Allocation of Economic Resources', Journal of Optimization Theory and Applications, 30 (1), January, 19-32 -- von Neumann, John (1945), 'A Model of General Economic Equilibrium', Review of Economic Studies, 13, 1-9 -- Brown, Donald J. and Geoffrey M. Heall (1979), 'Equity, Efficiency and Increasing Returns', Review of Economic Studies, XLVI (4), October, 571-85 -- Brown, Donald J., Geoffrey M. Heal, M. Ali Khan and Rajiv Vohra (1986), 'On a General Existence Theorem for Marginal Cost Pricing Equilibria', Journal of Economic Theory, 38 (2), April, 371-9 -- Dieker, Egbert and Hildegard Dierker (1972), 'The Local Uniqueness of Equilibria', Econometrica, 40 (5), September, 867-81 -- Balasko, Yves (1979), 'A Geometric Approach to Equilibrium Analysis', Journal of Mathematical Economics, 6, 217-28 -- Chichilnisky, G. and Yuqing Zhou (1996), 'Smooth Infinite Economies', Columbia University: Program on Information and Resources, Discussion Paper Series No. 9596-17, May, 1-21 -- Foley, Duncan K. (1994), 'A Statistical Equilibrium Theory of Markets', Journal of Economic Theory, 62 (2), April, 321-45 -- Nash, John F. Jr. (1950), 'Equilibrium Points in N-Person Games', Proceedings of the National Academy of Sciences of the United States of America, 36, 48-9 -- Debreu, Gerard (1975), 'The Rate of Convergence of the Core of an Economy', Journal of Mathematical Economics, 2, 1-7 -- Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Feldman, Allan M. (1973), 'Bilateral Trading Processes, Pairwise Optimality, and Pareto Optimality', Review of Economic Studies, XL (4), October, 463-73 -- Geanakoplos, John and Geoffrey Heal (1983), 'A Geometric Explanation of the Transfer Paradox in a Stable Economy', Journal of Development Economics, 13 (1-2), August-October, 223-36 -- Chichilnisky, G. (1980), 'Social Choice and the Topology of Spaces of Preferences', Advances in Applied Mathematics, 37 (2), 165-176 -- Guesnerie, Roger (1975), 'Pareto Optimality in Non-Convex Economies', Econometrica, 43 (1), January, 1-29 -- Chichilnisky, G. (1986), 'A General Equilibrium Theory of North-South Trade', in Walter P. Heller (ed), Ross M. Starr (ed) and David A. Starett (ed) (eds), Equilibrium analysis: Essays in Honor of Kenneth J. Arrow, Volume II, Chapter 1, Cambridge: Cambridge University Press, 3-56 -- de Segnes, Phillippe (ed.) (1981), Evaluation of the UNITAR Project: Technology, Domestic Distribution and North-South Relations, New York: United Nations Institute for Training and Research (UNITAR) -- Zhou, Yuqing (1997), 'Genericity analysis on the Pseudo-Equilibrium Manifold', Journal of Economic Theory, 73 (1), March, 79-92 -- Arrow, Kenneth J. (1963), 'Uncertainty and the Welfare Economics of Medical Care', American Economic Review, 53 (5), December, 941-73 -- Bachelier, Louis (1900), 'Theory of Speculation', ('Theorie de la Speculation', Annals de l'Ecole Normale Superieure, 3, Paris: Gauthier-Villars), translated by A. James Boness, in Paul H. Cootner (ed) (ed.) (1964), The Random Character of Stock Market Prices, Chapter 2, Cambridge, MA: MIT Press, 17-78 -- Chichilnisky, G. (1985), 'Von Neumann-Morgenstern Utilities and Cardinal References', Mathematics of Operations Research, 10 (4), November, 633-41 -- Chichilnisky, G. (1980), 'Social Choice and the Topology of Spaces of Preferences', Advances in Applied Mathematics, 37 (2), 165-176 -- Herstein, I.N. and John Milnor (1953), 'An Axiomatic Approach to Measurable Utility', Econometrica, 21 (2), April, 291-7 -- Machina, Mark J. (1982), '"Expected Utility" Analysis without the Independence Axiom', Econometrica, 50 (2), March, 277-323 -- Malinvaud, E. (1973), 'Markets for an Exchange Economy with Individual Risks', Econometrica, 41 (3), May, 383-410 -- de Finetti, Burno (1937), 'Foresight: Its Logical Laws, Its Subjective Sources', translated by Henry E. Kyburg, Jr. in Henry E. Kyburg, Jr. (ed) and Howard E. Smokler (ed) (eds) (1964), Studies in Subjective Probability, New York: John Wiley, 97-158, 95-6 (translator's note) -- Arrow, Kenneth J. (1970), 'Exposition of the Theory of Choice under Uncertainty', in K. Arrow (ed) (ed.), Essays in the Theory of Risk-bearing, Chapter 2, Amsterdam and Oxford: North-Holland, 44-89
Abstract:
Chichilnisky, G. (2010a), 'Arrow, Kenneth', in Rama Cont (ed) (ed.), Encyclopedia of Quantitative Finance, Volume I, Chichester: Wiley, 76-81 -- Cass, D., G. Chichilnisky and H.-M. Wu (1996), 'Individual Risk and Mutual Insurance', Econometrica, 64 (2), March, 333-341 -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. and Ho-Mou Wu (2006), 'General Equilibrium with Endogenous Uncertainty and Default', Journal of Mathematical Economics, 42, May -- Yannelis, Nicholas C. (1991), 'The Core of an Economy with Differential Information', Economic Theory, 1 (2), 183-97 -- Duffie, Darrell and Wayne Shafer (1985), 'Equilibrium in Incomplete Markets: I: A Basic Model of Generic Existence', Journal of Mathematical Economics, 14 (3), 285-300 -- Chichilnisky, G. and Geoffrey Heal (1996), 'On the Existence and the Structure of the Pseudo-Equilibrium Manifold', Journal of Mathematical Economics, 26 (2), 171-86 -- Black, Fischer and Myron Scholes (1973), 'The Pricing of Options and Corporate Liabilities', Journal of Political Economy, 81 (3), May/June, 637-54 -- Savage, Leonard J. (1971), 'Elicitation of Personal Probabilities and Expectations', Journal of the American Statistical Association, 66 (336), December, 783-801 -- Posner, R.A. (2004), Catastrophe: Risk and Response, New York: Oxford University Press -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. and G.M. Heal (2000), Environmental Markets: Equity and Efficiency, New York: Columbia University Press -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2010a), 'Arrow, Kenneth', in Rama Cont (ed) (ed.), Encyclopedia of Quantitative Finance, Volume I, Chichester: Wiley, 76-81 -- Chichilnisky, G. (2010b), 'The Foundations of Probability with Black Swans', Journal of Probability and Statistics, January, Article ID 838240 -- Chichilnisky, G. (2011a), 'Catastrophic Risks with Finite of Infinite States', International Journal of Ecological Economics and Statistics, 23, F11 -- DeGroot, M.H. (1970/2004), Optimal Statistical Decisions, Hoboken, NJ: John Wiley and Sons -- Arrow, Kenneth J. (1970), 'Exposition of the Theory of Choice under Uncertainty', in K. Arrow (ed) (ed.), Essays in the Theory of Risk-bearing, Chapter 2, Amsterdam and Oxford: North-Holland, 44-89 -- Hernstein and Milnor's (1953) An Axiomatic Approach to Measurable Utility -- von Neumann, J. (1950), 'Functional Operators - Vol I: Measures and Integrals', Annals of Mathematical Studies, 21, 261 -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2011a), 'Catastrophic Risks with Finite of Infinite States', International Journal of Ecological Economics and Statistics, 23, F11 -- DeGroot, M.H. (1970/2004), Optimal Statistical Decisions, Hoboken, NJ: John Wiley and Sons -- Arrow, Kenneth J. (1950), 'A Difficulty in the Concept of Social Welfare', Journal of Political Economy, LVIII, 328-46 -- Chanel, O. and Chichilnisky, G. (2009), 'The Influence of Fear in Decisions: Experimental Evidence', Journal of Risk and Uncertainty, 39 (3), December 271-298 -- Chichilnisky, G. and P. Eisenberger (2010), 'Asteroids: Assessing Catastrophic Risks', Journal of Probability and Statistics, Special Issue on Actuarial and Financial Risks: Models, Statistical Inference, and Case Studies -- Narens, L. (2011), 'Probabilistic lattices: theory with an application to decision theory', in E.N. Dzhafarov (ed) and L. Perry (ed) (eds), Descriptive and Normative Approaches to Human Behavior, New Jersey: World Scienfitic, 161-202 -- Halpern, J. (2010), 'Lexicographic Probability, Conditional Probability, and Nonstandard Probability', Games and Economic Behavior, 68 (1), 155-79 -- Nikodym, O. (1960), Sur le mesure non-archimedienne effective sur une tribu de Boole arbitraire, Comptes Rendus Mathmatique, Acadmie des Sciences, Paris, 251, 2113-2115 -- Robinson, A. (1966), Non-Standard Analysis, Amsterdam: North-Holland -- Robinson, A. (1973), 'Function Theory on some Nonarchimedean Fields', American Mathematical Monthly: Papers on the Foundations of Mathematics, 80, S87-S109 -- Popper, K.R. (1934), Logik der Forschung, Vienna: Julius Springer Verlag
Abstract:
de Finetti, B. (1936), 'Les probabilitš nulles', Bulletins des Science Mathm̌atiques (premir̈e partie), 60, 275-288 -- Rňyi, A. (1964), 'Sur les espaces simples de probabilitš conditionelles', Annales de l'Institut Henri Poincar,̌ Nouvelle sřie, Section B 1, 3-21 -- Rňyi, A. (1956), 'On Conditional Probability Spaces Generated by a Dimensionally Ordered Set of Measures', Theory of Probability and its Applications, 1, 61-71 -- Blume, L., A. Brandenburger and E. Dekel (1991a), 'Lexicographic Probabilities and Equilibrium Refinements', Econometrica, 59 (1), 81-98 -- Blume, L., A. Brandenburger, and E. Dekel (1991b), Lexicographic Probabilities and Choice under Uncertainty', Econometrica, 59 (1), 61-79 -- Halpern, J. (2010), 'Lexicographic Probability, Conditional Probability, and Nonstandard Probability', Games and Economic Behavior, 68 (1), 155-79 -- Birkoff, G. and von Neumann, J. (1936), 'The Logic of Quantum Mechanics', Annals of Mathematics, 37, 823-43 -- Narens, L. (2007), Theories of Probability: An Examination of Logical and Qualitative Foundations, London: World Scientific -- Narens, L. (2009), 'A Foundation for Support Theory Based on a Non-Boolean Event Space', Journal of Mathematical Psychology, 53, 399-407 -- Narens, L. (2010), Multimode Utility Theory. Unpublished manuscript -- Skyrms, B. (2010), The Core Theory of Subjunctive Conditionals. Unpublished manuscript -- Chichilnisky, G. (2009a), 'Catastrophic Risks', International Journal of Green Economics, 3 (2), 130-141 -- von Neumann, J. and Morgenstern, O. (1944), The Theory of Games and Economic Behavior, 2nd edn, Princeton, NJ: Princeton University Press -- Arrow, K. (1971), Essays in the Theory of Risk-Bearing, Amsterdam: North-Holland -- DeGroot, M.H. (1970/2004), Optimal Statistical Decisions, Hoboken, NJ: John Wiley and Sons -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2002), 'Catastrophic Risk', in Abdel H. El (ed)-Shaarawi and Walter W. Piegorsch (ed) (eds), Encyclopedia of Environmetrics, Volume 1, Chichester: John Wiley, 274-279 -- Chichilnisky, G. (2010a), 'Arrow, Kenneth', in Rama Cont (ed) (ed.), Encyclopedia of Quantitative Finance, Volume I, Chichester: Wiley, 76-81 -- Chichilnisky, G. (2010b), 'The Foundations of Probability with Black Swans', Journal of Probability and Statistics, January, Article ID 838240 -- Chichilnisky, G. (2010c), 'The Foundations of Statistics with Black Swans', Mathematical Social Sciences, 59 (2), March -- Lawuers, L. (1993), 'Infinite Chichilnisky Rules', Economic Letters, April, 4, 349-52 -- Chichilnisky, G. (2009b), 'The Topology of Fear', Journal of Mathematical Economics, January, doi: 10.1016/j.jmateco.2009.06.006 -- Chanel, O. and Chichilnisky, G. (2009), 'The Influence of Fear in Decisions: Experimental Evidence', Journal of Risk and Uncertainty, 39 (3), December 271-98 -- Debreu, G. (1954), 'Numerical Representations of Technological Change', Metroeconomica, 6(2), 45-54 -- LeDoux, J.E. (ed.) (1996), The Emotional Brain, New York: Simon & Schuster -- Chichilnisky, G. and P. Eisenberger (2010), 'Asteroids: Assessing Catastrophic Risks', Journal of Probability and Statistics, Special Issue on Actuarial and Financial Risks: Models, Statistical Inference, and Case Studies -- Posner, R.A. (2004), Catastrophe: Risk and Response, New York: Oxford University Press -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Chichilnisky, G. (2010b), 'The Foundations of Probability with Black Swans', Journal of Probability and Statistics, January, Article ID 838240 -- Chichilnisky, G. (2010c), 'The Foundations of Statistics with Black Swans', Mathematical Social Sciences, 59 (2), March -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2002), 'Catastrophic Risk', in Abdel H. El (ed)-Shaarawi and Walter W. Piegorsch (ed) (eds), Encyclopedia of Environmetrics, Volume 1, Chichester: John Wiley, 274-279 -- Savage, L.J. (1954), The Foundations of Statistics, New York: Wiley
Abstract:
Villegas, C. (1964), 'On Qualitative Probability / sigma-Algebras', Annals of Mathematical Statistics, 35(4), 1787-96 -- Arrow, K. (1971), Essays in the Theory of Risk-Bearing, Amsterdam: North-Holland -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- DeGroot, M.H. (1970/2004), Optimal Statistical Decisions, Hoboken, NJ: John Wiley and Sons -- Arrow, K. (1971), Essays in the Theory of Risk-Bearing, Amsterdam: North-Holland -- Savage, L.J. (1954), The Foundations of Statistics, New York: Wiley -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2009a), 'Catastrophic Risks', International Journal of Green Economics, 3 (2), 130-141 -- Chichilnisky, G. (2009b), 'The Topology of Fear', Journal of Mathematical Economics, January, doi: 10.1016/j.jmateco.2009.06.006 -- Chichilnisky, G. (2009c), 'The Limits of Econometrics: Nonparametric Estimation in Hilbert Spaces', Econometric Theory, 25, 1-17 -- Chichilnisky, G. (2009d), 'Avoiding Extinction: The Future of Economics', International Journal of Green Economics, 3 (1), January -- Chichilnisky, G. (2009e), 'Avoiding Extinction: Equal Treatment of the Present and the Future', Economics: The Open-Access, Open-Assessment E-Journal, 3, July, 2009-2032 -- Villegas, C. (1964), 'On Qualitative Probability / sigma-Algebras', Annals of Mathematical Statistics, 35(4), 1787-96 -- DeGroot, M.H. (1970/2004), Optimal Statistical Decisions, Hoboken, NJ: John Wiley and Sons -- Dubins, L.E. and Savage, L.J. (1965), How to Gamble If You Must: Inequalities for Stochastic Processes, New York: McGraw-Hill -- Dubins, L. (1975), 'Finitely Additive Conditional Probabilities, Conglomerability and Disintegrations', Annals of Probability, 3, 89-99 -- Purves, R.A. and Sudderth, W.D. (1976), 'Some Finitely Additive Probability', Annals of Probability, 4 (2), 259-76 -- Arrow, K. (1971), Essays in the Theory of Risk-Bearing, Amsterdam: North-Holland -- Chichilnisky, G. (2009c), 'The Limits of Econometrics: Nonparametric Estimation in Hilbert Spaces', Econometric Theory, 25, 1-17 -- Bergstrom, A.R. (1985), 'The Estimation of Nonparametric Functions in a Hilbert Space', Econometric Theory, 1 (1), 7-26 -- DeGroot, M. (2004), Optimal Statistical Decisions, Hoboken, NJ: John Wiley and Sons (SP4) -- Arrow, Kenneth J. (1970), 'Exposition of the Theory of Choice under Uncertainty', in K. Arrow (ed) (ed.), Essays in the Theory of Risk-bearing, Chapter 2, Amsterdam and Oxford: North-Holland, 44-89 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. and G.M. Heal (2000), Environmental Markets: Equity and Efficiency, New York: Columbia University Press -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Chichilnisky, G. (2009b), 'The Topology of Fear', Journal of Mathematical Economics, January, doi: 10.1016/j.jmateco.2009.06.006 -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Debreu, G. (1953), 'Valuation Equilibrium and Pareto Optimum', Proceedings of the National Academy of Sciences, 40, 588-592 -- Chanel, O. and Chichilnisky, G. (2009), 'The Influence of Fear in Decisions: Experimental Evidence', Journal of Risk and Uncertainty, 39 (3), December 271-98 -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57
Abstract:
Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2002), 'Catastrophic Risk', in Abdel H. El (ed)-Shaarawi and Walter W. Piegorsch (ed) (eds), Encyclopedia of Environmetrics, Volume 1, Chichester: John Wiley, 274-279 -- Chichilnisky, G. (2009a), 'Catastrophic Risks', International Journal of Green Economics, 3 (2), 130-141 -- Chichilnisky, G. (2009b), 'The Topology of Fear', Journal of Mathematical Economics, January, doi: 10.1016/j.jmateco.2009.06.006 -- Chichilnisky, G. (2009c), 'The Limits of Econometrics: Nonparametric Estimation in Hilbert Spaces', Econometric Theory, 25, 1-17 -- Chichilnisky, G. (2009d), 'Avoiding Extinction: The Future of Economics', International Journal of Green Economics, 3 (1), January -- Chichilnisky, G. (2009e), 'Avoiding Extinction: Equal Treatment of the Present and the Future', Economics: The Open-Access, Open-Assessment E-Journal, 3, July, 2009-2032 -- Chanel, O. and Chichilnisky, G. (2008), 'Decision Under Risk Involving Natural Disasters' (Experimental work, CNRS-GREQAM at the Universit ̌de la Mediterraně with JeanChristophe Vergnaud CES and CNRS, University at Paris 1 Pantheon-Sorbonne, France) submitted for publication -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2002), 'Catastrophic Risk', in Abdel H. El (ed)-Shaarawi and Walter W. Piegorsch (ed) (eds), Encyclopedia of Environmetrics, Volume 1, Chichester: John Wiley, 274-279 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2002), 'Catastrophic Risk', in Abdel H. El (ed)-Shaarawi and Walter W. Piegorsch (ed) (eds), Encyclopedia of Environmetrics, Volume 1, Chichester: John Wiley, 274-279 -- Narens, L. (2016), 'Multimode Utility Theory', Journal of Mathematical Psychology, doi: 10.1016/j.jmp.2016/02.003 -- Day, Richard H. and Guilio Pianigiani (1991), 'Statistical Dynamics and Economics', Journal of Economic Behavior and Organization, 16, 37-83 -- Eaves, B. Curtis and Herbert Scarf (1976), 'The Solution of Systems of Piecewise Linear Equations', Mathematics of Operations Research, 1 (1), February, 1-27 -- Eaves, B.C. and Saigal, R. (1972), 'Homotopies for computation of fixed points in unbounded regions', Mathematical Programming, 3, 225-37 -- Hirsch, Morris W. and Stephen Smale (1979), 'On Algorithims for Solving f(x) = 0' Communications on Pure and Applied Mathematics, XXXII, 281-312 -- Smale, Stephen (1983), 'On the Average Number of Steps of the Simplex Method of Linear Programming', Mathematical Programming, 27, 241-62 -- Samuelson, Paul A. (1949), 'Market Mechanisms and Maximization', Research Memoranda (Parts I, II, and III), Santa Monica, CA: RAND Corporation. Reprinted in Joseph E. Stiglitz (ed) (ed.) (1996), The Collected Scientific Papers of Paul A. Samuelson, Volume 1, Chapter 33, Cambridge, MA: MIT Press, 425-92 -- Heal, Geoffrey and Darryl McLeod (1984), 'Gains from Trade, Stability and Profits: A comment on Chichilnisky's 'Terms of trade and Domestic Distribution: Export-Led Growth with Abundant Labour"', Journal of Development Economics, 15, 117-30 -- Chichilnisky, G. (1981), 'Terms of Trade and Domestic Distribution: Export-Led Growth with Abundant Labor', Journal of Development Economics, 8, 163-192. -- Chichilnisky, G. (1976), 'Manifolds of Preferences and Equilibria', PhD Thesis, Department of Economics, University of California, Berkeley -- Chichilnisky, G. (1977a), 'Nonlinear Functional Analysis and Optimal Economic Growth', Journal of Mathematical Analysis and Applications, 61 (2), 15 November, 504-20 -- Chichilnisky, G. (1977b), 'Economic Development and Efficiency Criteria in the Satisfaction of Basic Needs', Applied Mathematic Modelling, 1(6), 290-98 -- Herrera, A. and Chichilnisky, G. et al. (1974), Catastrophe or New Society, Ottawa, Canada: International Development Research Center
Abstract:
Chichilnisky, G. (1997a), 'What is Sustainable Development?' Land Economics, 73(4), 467-91 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Solow, R. (1992), 'An Almost Practical Step Toward Sustainability. Lecture on the Occasion of the Fortieth Anniversary of Resources for the Future', Washington, DC, October -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Chichilnisky, G. (1997b), 'Development and Global Finance: The Case for an International Bank for Environmental Settlements', doi: 10.2139/ssrn.1375218 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (1997b), 'Development and Global Finance: The Case for an International Bank for Environmental Settlements', doi: 10.2139/ssrn.1375218 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2009e), 'Avoiding Extinction: Equal Treatment of the Present and the Future', Economics: The Open-Access, Open-Assessment E-Journal, 3, July, 2009-2032 -- Chichilnisky, G. (2009d), 'Avoiding Extinction: The Future of Economics', International Journal of Green Economics, 3 (1), January -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1997a), 'What is Sustainable Development?' Land Economics, 73(4), 467-91 -- Chanel, O. and Chichilnisky, G. (2008), 'Decision Under Risk Involving Natural Disasters' (Experimental work, CNRS-GREQAM at the Universit ̌de la Mediterraně with JeanChristophe Vergnaud CES and CNRS, University at Paris 1 Pantheon-Sorbonne, France) submitted for publication -- Lauwers, L. (2011), 'Intergenerational Equity, Efficiency, and Constructability', Economic Theory, doi:10.1007/s00199-011-0603-0 -- Chichilnisky, G. (1997b), 'Development and Global Finance: The Case for an International Bank for Environmental Settlements', doi: 10.2139/ssrn.1375218 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-321 -- Chichilnisky, G. (2011b), 'Sustainable Markets with Short Sales', Economic Theory, doi:10.1007/s00199-011-0626-6 -- Figuieres, C. and M. Tidball (2011), 'Sustainable Exploitation of a Natural Resource: A Satisfying Use of Chichilnisky's Criterion', Economic Theory, doi:10.1007/s00199-010-0579-1 -- Beltratti, A., G. Chichilnisky and G. Heal (1995), 'The Green Golden Rule', Economic Letters, 49 (2), 175-180 -- Asheim, G., T. Mitra and B. Tungodden (2011), 'Sustainable Recursive Social Welfare Functions', Economic Theory. doi:10.1007/s00199-010-0573-7 -- Chichilnisky, G. (2011b), 'Sustainable Markets with Short Sales', Economic Theory, doi:10.1007/s00199-011-0626-6 -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Godel, K. (1940), The Consistency of the Continuum-Hypothesis, Princeton University Press -- Lauwers, L. (2011), 'Intergenerational Equity, Efficiency, and Constructability', Economic Theory, doi:10.1007/s00199-011-0603-0 -- Chipman, J. and G. Tian (2011), 'Detrimental Externalities, Pollution Rights, and the Coase Theorem', Economic Theory, doi:10.1007/s00199-011-0602-1 -- Chipman, J.S. (1998), 'A Close Look to the Coase Theorem', in J.M. Buchanan (ed) and B. Monissen (ed) (eds), The Economists' Vision: Essays in Modern Economic Perspectives, Frankfurt am Main: Campus Verlag, 131-62
Abstract:
Print version contents continued: Hurwicz, L. (1995), 'What is the Coase Theorem', Japan and the World Economy, Elsevier 7(1), 49-74 -- Stigler, G. (1966), The Theory of Price, 3rd edn, New York: Macmillan -- Edgeworth, F.Y. (1891), 'La Theorie Mathematique de L'Offre et de la Demande et le Cout de Production', Revue d'Economie Politique, 5, 10-28 -- Hurwicz, L. (1995), 'What is the Coase Theorem', Japan and the World Economy, Elsevier 7(1), 49-74 -- Rezai, A., D. Foley and L. Taylor (2011), 'Global Warming and Economic Externalities', Economic Theory, doi:10.1007/s00199-010-0592-4 -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), 8April, 231-57 -- Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Chichilnisky, G. and K. Sheeran (2009), Saving Kyoto, London: North-Holland. -- Ostrom, E. (2011), 'Nested Externalities and Polycentric Institutions: Must We Wait for Global Solutions to Climate Change before Taking Actions at Other Scales?', Economic Theory, doi:10.1007/s00199-010-0558-6 -- Karp, L. and J. Zhang (2011), 'Taxes versus Quantities for a Stock Pollutant with Endogenous Abatement Costs and Asymmetric Information', Economic Theory, doi:10.1007/s00199-010-0561-y -- Dutta, P. and R. Radner (2011), 'Capital Growth in a Global Warming Model: Will China and India Sign a Climate Treaty?', Economic Theory, doi:10.1007/s00199-010-0590-6 -- Stern, N.H (2007), The Economics of Climate Change: The Stern Review, Cambridge, UK: Cambridge University Press -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Chichilnisky, G. (1997b), 'Development and Global Finance: The Case for an International Bank for Environmental Settlements', doi: 10.2139/ssrn.1375218 -- Chichilnisky, G. and K. Sheeran (2009), Saving Kyoto, London: North-Holland. -- The World Bank (2005-2010), Status and Trends of the Carbon Market Annual Report, Washington, DC: The World Bank -- Lecocq, F. and J. Hourcade (2011), 'Unspoken Ethical Issues in the Climate Affair: Insights from a Theoretical Analysis of Negotiation Mandates', Economic Theory, doi:10.1007/s00199-010-0589-z -- Chichilnisky, G. and K. Sheeran (2009), Saving Kyoto, London: North-Holland. -- Burniaux, J. and J. Martins (2011), 'Carbon Leakages: A General Equilibrium View', Economic Theory, doi:10.1007/s00199-010-0598-y -- Herves-Beloso, C., F. Martinez and J. Rivera (2011), 'Walrasian Prices in Markets with Tradable Rights', Economic Theory, doi:10.1007/s00199-011-0635-5 -- Chichilnisky, G. and G.M. Heal (1994), 'Who Should Abate: An International Perspective', Economic Letters, Spring, 443-449 -- Chichilnisky, G. and G.M. Heal (eds) (2000), Environmental Markets: Equity and Efficiency, New York: Columbia University Press. -- Chipman, J. and G. Tian (2011), 'Detrimental Externalities, Pollution Rights, and the "Coase Theorem"', Economic Theory, doi:10.1007/s00199-011-0602-1 -- Chichilnisky, G. (1993), 'The Cone Condition, Properness and Extremely Desirable Commodities', Economic Theory, 3, 177-82 -- Chichilnisky, G., G.M. Heal and D. Starrett (2000), 'Equity and Efficiency in Environmental Markets: Global Trade in Carbon Dioxide Emissions', in G. Chichilnisky (ed) and G.M. Heal (ed) (eds), Environmental Markets: Equity and Efficiency, New York: Columbia University Press, 46-67. -- Chichilnisky, G. and K. Sheeran (2009), Saving Kyoto, London: North-Holland -- Chichilnisky, G. (1996a), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Chichilnisky, G. (1996b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- Chichilnisky, G. (1996c), 'A unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in K.J. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-Examined, London: Macmillan for the International Economic Association -- Chichilnisky, G. (1997b), 'Development and Global Finance: The Case for an International Bank for Environmental Settlements', doi: 10.2139/ssrn.1375218 -- Chichilnisky, G. and K. Sheeran (2009), Saving Kyoto, London: North-Holland. -- Chichilnisky, G. (1997b), 'Development and Global Finance: The Case for an International Bank for Environmental Settlements', doi: 10.2139/ssrn.1375218 -- Chichilnisky, G. (2000a), 'An Axiomatic Approach to Choice Under Uncertainty with Catastrophic Risks', Resource and Energy Economics, 22 (3), July, 221-231 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-31 -- Chichilnisky, G. (2000b), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13, 257-31.
Abstract:
Print version contents: Giovanni Battista Antonelli (1971), 'On the Mathematical Theory of Political Economy' ('Sulla teoria matematica della economia politica', 1886), translated by J.S. Chipman and A.P. Kirman, in John S. Chipman (ed), Leonid Hurwicz (ed), Marcel K. Richter (ed) and Hugo F. Sonnenschein (ed) (eds), Preferences, Utility, and Demand: A Minnesota Symposium, Chapter 16, New York: Harcourt Brace Jovanovich, 333-64 -- Kenneth J. Arrow (1950), 'A Difficulty in the Concept of Social Welfare', Journal of Political Economy, LVIII, 328-46 -- Yuliy M. Baryshnikov (1993), 'Unifying Impossibility Theorems: A Topological Approach', Advances in Applied Mathematics, 14, 404-15 -- Graciela Chichilnisky (1980), 'Social Choice and the Topology of Spaces of Preferences', Advances in Mathematics, 37 (2), August, 165-76 -- Duncan K. Foley (1976), 'Resource Allocation and the Public Sector', Yale Economic Essays, 17 (1), Spring, 45-98 with dedicatory passage -- Paul Milgrom (1981), 'An Axiomatic Characterization of Common Knowledge', Econometrica, 49 (1), January, 219-22 -- Graciela Chichilnisky and Geoffrey Heal (1983), 'Necessary and Sufficient Conditions for a Resolution of the Social Choice Paradox', Journal of Economic Theory, 31 (1), October, 68-87 -- G. Chichilnisky and G.M. Heal (1997), 'The Geometry of Implementation: A Necessary and Sufficient Condition for Straightforward Games', Social Choice and Welfare, 14, 259-94 -- Gerard Debreu (1976), 'Smooth Preferences: A Corrigendum', Econometrica, 44 (4), July, 831-2 -- Allan Gibbard (1973), 'Manipulation of Voting Schemes: A General Result', Econometrica, 41 (4), July, 587-601 -- Theodore Groves and John Ledyard (1977), 'Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem', Econometrica, 45 (4), May, 783-809 -- Ehud Kalai and Eitan Muller (1977), 'Characterization of Domains Admitting Nondictatorial Social Weifare Functions and Nonmanipulable Voting Procedures', Journal of Economic Theory, 16 (2), 457-69 -- M. Ali Khan and Ye Neng Sun (1990), 'On Complete Regularity of Spaces of Economic Agents Endowed with the Order Topology', Archiv der Mathematik, 54 (1), January, 389-96 -- L. Lauwers (1995), 'Social Choice with Infinite Populations', Discussion Paper No. 101, Katholieke Universiteit Leuven, 1-79 -- Amartya Sen and Prasanta K. Pattanaik (1969), 'Necessary and Sufficient Conditions for Rational Choice Under Majority Decision', Journalof Economic Theory, 1 (2), August, 178-202 -- Dieter Sondermann (1975), 'Smoothing Demand by Aggregation', Journal of Mathematical Economics, 2 (2), 201-23 -- Donald M. Topkis (1978), 'Minimizing a Submodular Function on a Lattice', Operations Research, 26 (2), March-April, 305-21 -- F.H. Hahn (1966), 'Equilibrium Dynamics with Heterogeneous Capital Goods', Quarterly Journal of Economics, XXC, 633-46 -- Harold Hotelling (1931), 'The Economics of Exhaustible Resources', Journal of Political Economy, 39 (2), April, 137-75 -- Graciela Chichilnisky (1996), 'An Axiomatic Approach to Sustainable Development', Social Choice and Welfare, 13 (2), April, 231-57 -- Walter Perrin Heller (1971), 'Disequilibrium Dynamics of Competitive Growth Paths', Review of Economic Studies, XXXVIII (4), October. 385-400 -- Tjalling C. Koopmans (1965), 'On the Concept of Optimal Economic Growth', Pontificiae Academiae Scientiarum Scripta Varia, 28, 225-87 -- F.P. Ramsey (1928), 'A Mathematical Theory of Saving', Economic Journal, XXXVIII (152), December, 543-59 -- J.v. Neumann (1945), 'A Model of General Economic Equilibrium', Review of Economic Studies, 13, 1-9 -- Roy Radner (1961), 'Paths of Economic Growth that are Optimal with Regard Only to Final States: A Turnpike Theorem', Review of Economic Studies, XXVIII (2), February, 98-104 -- Harl E. Ryder, Jr. and Geoffrey M. Heal (1973), 'Optimal Growth with Intertemporally Dependent Preferences', Review of Economic Studies, XL (1), January, 1-31 -- G. Chichilnisky and P.J. Kalman (1980), 'Application of Functional Analysis to Models of Efficient Allocation of Economic Resources', Journal of Optimization Theory and Applications, 30 (1), January, 19-32 -- Graciela Chichilnisky (1977), 'Nonlinear Functional Analysis and Optimal Economic Growth', Journal of Mathematical Analysis and Applications, 61 (2), 15 November, 504-20 -- Donald J. Brown, Geoffrey M. Heal, M. Ali Khan and Rajiv Vohra (1986), 'On a General Existence Theorem for Marginal Cost Pricing Equilibria', Journal of Economic Theory, 38 (2), April, 371-9 -- Egbert and Hildegard Dierker (1972), 'The Local Uniqueness of Equilibria', Econometrica, 40 (5), September, 867-81 -- Yves Balasko (1979), 'A Geometric Approach to Equilibrium Analysis', Journal of Mathematical Economics, 6, 217-28 -- Donald J. Brown and Geoffrey Heal (1979), 'Equity, Efficiency and Increasing Returns', Review of Economic Studies, XLVI (4), October, 571-85
Abstract:
Graciela Chichilnisky and Yuqing Zhou (1996), 'Smooth Infinite Economies', Columbia University: Program on Information and Resources, Discussion Paper Series No. 9596-17, May, 1-21 -- Duncan K. Foley (1994), 'A Statistical Equilibrium Theory of Markets', Journal of Economic Theory, 62 (2), April, 321-45 -- John F. Nash, Jr. (1950), 'Equilibrium Points in N-Person Games', Proceedings of the National Academy of Sciences of the United States of America, 36, 48-9 -- Gerard Debreu (1975), 'The Rate of Convergence of the Core of an Economy', Journal of Mathematical Economics, 2, 1-7 -- Graciela Chichilnisky (1996), 'A Unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice', in H. Arrow (ed), A. Sen (ed) and T. Suzumura (ed) (eds), Social Choice Re-examined, Macmillan for the International Economic Association, forthcoming -- Allan M. Feldman (1973), 'Bilateral Trading Processes, Pairwise Optimality, and Pareto Optimality', Review of Economic Studies, XL (4), October, 463-73 -- John Geanakoplos and Geoffrey Heal (1983), 'A Geometric Explanation of the Transfer Paradox in a Stable Economy', Journal of Development Economics, 13 (1-2), August-October, 223-36 -- Roger Guesnerie (1975), 'Pareto Optimality in Non-Convex Economies', Econometrica, 43 (1), January, 1-29 -- Graciela Chichilnisky (1986), 'A General Equilibrium Theory of North-South Trade', in Walter P. Heller (ed), Ross M. Starr (ed) and David A. Starrett (ed) (eds), Equilibrium Analysis: Essays in Honor of Kenneth J. Arrow, Volume II, Chapter 1, Cambridge: Cambridge University Press, 3-56 -- Yuqing Zhou (1997), 'Genericity Analysis on the Pseudo-Equilibrium Manifold', Journal of Economic Theory, 73 (1), March, 79-92 -- Kenneth J. Arrow (1963), 'Uncertainty and the Welfare Economics of Medical Care', American Economic Review, 53 (5), December, 941-73 -- Louis Bachelier (1900), 'Theory of Speculation' ('Thǒrie de la Speculation', Annals de l'Ecole Normale Supřieure, 3, Paris: Gauthier-Villars), translated by A. James Boness, in Paul H. Cootner (ed) (ed.)(1964), The Random Character of Stock Market Prices, Chapter 2, Cambridge, MA: MIT Press, 17-78 and references -- Graciela Chichilnisky (1985), 'Von Neumann-Morgenstern Utilities and Cardinal Preferences', Mathematics of Operations Research, 10 (4), November, 633-41 -- I.N. Herstein and John Milnor (1953), 'An Axiomatic Approach to Measurable Utility', Econometrica, 21 (2), April, 291-7 -- Mark J. Machina (1982), '"Expected Utility" Analysis without the Independence Axiom', Econometrica, 50 (2), March, 277-323 -- E. Malinvaud (1973), 'Markets for an Exchange Economy with Individual Risks', Econometrica, 41 (3), May, 383-410 -- Bruno de Finetti (1937), 'Foresight: Its Logical Laws, Its Subjective Sources', translated by Henry E. Kyburg, Jr., in Henry E. Kyburg, Jr. (ed) and Howard E. Smokier (ed) (eds) (1964), Studies in Subjective Probability, New York: John Wiley, 97-158,95-6 (translator's note) -- Kenneth J. Arrow (1970), 'Exposition of the Theory of Choice under Uncertainty', in K. Arrow (ed) (ed.), Essays in the Theory of Risk-bearing, Chapter 2, Amsterdam and Oxford: North-Holland, 44-89 -- Graciela Chichilnisky (1996), 'Markets with Endogenous Uncertainty: Theory and Policy', Theory and Decision, 41 (2), September, 99-131 -- Nicholas C. Yannelis (1991), 'The Core of an Economy with Differential Information', Economic Theory, 1 (2), 183-97 -- Graciela Chichilnisky and Geoffrey Heal (1996), 'On the Existence and the Structure of the Pseudo-Equilibrium Manifold', Journal of Mathematical Economics, 26 (2), 171-86 -- Darrell Duffle and Wayne Shafer (1985), 'Equilibrium in Incomplete Markets: I: A Basic Model of Generic Existence', Journal of Mathematical Economics, 14 (3), 285-300 -- Fischer Black and Myron Scholes (1973), 'The Pricing of Options and Corporate Liabilities', Journal of Political Economy, 81 (3), May/June, 637-54 -- Leonard J. Savage (1971), 'Elicitation of Personal Probabilities and Expectations', Journal of the American Statistical Association, 66 (336), December, 783-801 -- Richard H. Day and Giulio Pianigiani (1991), 'Statistical Dynamics and Economies', Journal of Economic Behavior and Organization, 16, 37-83 -- B. Curtis Eaves and Herbert Scarf (1976), 'The Solution of Systems of Piecewise Linear Equations', Mathematics of Operations Research, 1 (1), February, 1-27 -- Morris W. Hirsch and Stephen Smale (1979), 'On Algorithms for Solving f ( x ) = 0', Communications on Pure and Applied Mathematics, XXXII, 281-312 -- Steve Smale (1983), 'On the Average Number of Steps of the Simplex Methodof Linear Programming', Mathematical Programming, 27,241-62 -- Paul A. Samuelson (1949), 'Market Mechanisms and Maximization', Research Memoranda (Parts I, II and III), RAND Corporation, Santa Monica, California. Reprinted in Joseph E. Stiglitz (ed) (ed.) (1966), The Collected Scientific Papers of Paul A. Samuelson, Volume 1, Chapter 33, Cambridge, MA: MIT Press, 425-92 -- Geoffrey Heal and Dairyl McLeod (1984), 'Gains from Trade, Stability and Profits: A Comment on Chichilnisky's '"Terms of Trade and Domestic Distribution: Export-led Growth with Abundant Labour"', Journal of Development Economics, 15, 117-30.
Abstract:
Please note this updated and revised research review is only available online. The link to Buy Book in Print and Find This Book in Your Library is to a previous edition available in print. The previous print edition reprints the full text of many, though not all, of the recommended articles and complements the online edition
DOI:
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