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  • 1
    Online-Ressource
    Online-Ressource
    Basel, Switzerland : MDPI - Multidisciplinary Digital Publishing Institute
    ISBN: 9783036510347 , 9783036510354
    Sprache: Englisch
    Seiten: 1 Online-Ressource (248 p.)
    Schlagwort(e): Research & information: general ; Mathematics & science
    Kurzfassung: The Special Issue “Game Theory” of the journal Mathematics provides a collection of papers that represent modern trends in mathematical game theory and its applications. The works address the problem of constructing and implementation of solution concepts based on classical optimality principles in different classes of games. In the case of non-cooperative behavior of players, the Nash equilibrium as a basic optimality principle is considered in both static and dynamic game settings. In the case of cooperative behavior of players, the situation is more complicated. As is seen from presented papers, the direct use of cooperative optimality principles in dynamic and differential games may bring time or subgame inconsistency of a solution which makes the cooperative schemes unsustainable. The notion of time or subgame consistency is crucial to the success of cooperation in a dynamic framework. In the works devoted to dynamic or differential games, this problem is analyzed and the special regularization procedures proposed to achieve time or subgame consistency of cooperative solutions. Among others, special attention in the presented book is paid to the construction of characteristic functions which determine the power of coalitions in games. The book contains many multi-disciplinary works applied to economic and environmental applications in a coherent manner
    Anmerkung: English
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Online-Ressource
    Online-Ressource
    Cham : Springer International Publishing | Cham : Imprint: Springer
    ISBN: 9783030927424
    Sprache: Englisch
    Seiten: 1 Online-Ressource (XII, 303 p. 1 illus.)
    Serie: Theory and Decision Library C, Game Theory, Social Choice, Decision Theory, and Optimization 50
    Serie: Springer eBook Collection
    Paralleltitel: Erscheint auch als Yeung, David W. K., 1955 - Durable-strategies dynamic games
    Paralleltitel: Erscheint auch als
    Paralleltitel: Erscheint auch als
    Schlagwort(e): Dynamisches Spiel ; Nash-Gleichgewicht ; Spieltheorie ; Game theory. ; Econometrics. ; Operations research. ; Social sciences—Mathematics. ; Mathematical optimization. ; Economics—Computer programs. ; Dynamic Game Theory ; Dynamic Optimization ; Decision Theory ; Operations Research ; Computational Mathematics ; Quantitative Mathematics ; Control Theory ; Cooperative Games ; Economic Optimization ; Mathematics in Economics ; Dynamisches Spiel ; Strategische Planung ; Nachhaltigkeit ; Verzögerung ; Nash-Gleichgewicht
    Kurzfassung: Chapter 1. Introduction -- Chapter 2. Durable-strategies Dynamic Games: Theory and Solution Techniques -- Chapter 3. Durable-strategies Dynamic Games of Investments -- Chapter 4. Dynamic Environmental Games: Anthropogenic Eco-degradation under Strategies Lags -- Chapter 5. Durable-strategies Cooperative Dynamic Games -- Chapter 6. Eco-degradation Management under Durable Strategies: Efficiency Maximization and Sustainable Imputation -- Chapter 7. Random Horizon Dynamic Games with Durable Strategies -- Chapter 8. Asynchronous Horizons Durable-strategies Dynamic Games -- Chapter 9. Stochastic Durable-strategies Dynamic Games.
    Kurzfassung: Durable strategies that have prolonged effects are prevalent in real-world situations. Revenue-generating investments, toxic waste disposal, long-lived goods, regulatory measures, coalition agreements, diffusion of knowledge, advertisement and investments to accumulate physical capital are concrete and common examples of durable strategies. This book provides an augmentation of dynamic game theory and advances a new game paradigm with durable strategies in decision-making schemes. It covers theories, solution techniques, and the applications of a general class of dynamic games with multiple durable strategies. Non-cooperative equilibria and cooperative solutions are derived, along with advanced topics including random termination, asynchronous game horizons, and stochastic analysis. The techniques presented here will enable readers to solve numerous practical dynamic interactive problems with durable strategies. This book not only expands the scope of applied dynamic game theory, but also provides a solid foundation for further theoretical and technical advancements. As such, it will appeal to scholars and students of quantitative economics, game theory, operations research, and computational mathematics. "Not too many new concepts have been introduced in dynamic games since their inception. The introduction of the concept of durable strategies changes this trend and yields important contributions to environmental and business applications." Dušan M Stipanović, Professor, University of Illinois at Urbana-Champaign "Before this book, the field simply did not realize that most of our strategies are durable and entail profound effects in the future. Putting them into the mathematical framework of dynamic games is a great innovative effort." Vladimir Turetsky, Professor, Ort Braude College “Durable-strategies Dynamic Games is truly a world-leading addition to the field of dynamic games. It is a much needed publication to tackle increasingly crucial problems under the reality of durable strategies.” Vladimir Mazalov, Director of Mathematical Research, Russian Academy of Sciences & President of the International Society of Dynamic Games .
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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