878238425     

9878238423                        

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Gowen, Annie M. ; Albert, Karen E.

Cham : Springer International Publishing, 2014 [©2014]

1 Online-Ressource (196 pages)

Englisch

Print version: Gibilisco, Michael B : Fuzzy Social Choice Theory. - Cham : Springer International Publishing,c2014

978-3-319-05176-5 ( : electronic bk.)

978-3-319-05175-8 (ISBN der Printausgabe)

Elektronische Ressource: Zugang über Aggregator-Datenbank (Lizenzangabe: Lizenzpflichtig)

302.13     Ähnliche Literatur

MSC: *91-02 ; MSC: 91B14 ; MSC: 03E72

Fuzzy sets.. ; Fuzzy decision making ; Electronic books

Preface -- Acknowledgements -- List of Figures -- List of Tables -- Fuzzy Social Choice -- 1.1 The Purpose and Plan of the Book -- 1.2 General Concepts -- 1.2.1 Sets -- 1.2.2 Subsets -- 1.2.3 Relations -- 1.2.4 Fuzzy Intersection and Union -- 1.2.5 Residuum -- References -- Classical Social Choice Theorems -- 2.1 Arrows Theorem -- 2.2 Discussion -- 2.3 Gibbard-Sattherthwaite Theorem -- 2.4 The Median Voter Theorem -- 2.5 The Maximal Set -- References -- Rationality of Fuzzy Preferences -- 3.1 The Structure of Fuzzy Preference Relations -- 3.2 Consistency of Fuzzy Preferences and the Fuzzy Maximal Set -- 3.3 Empirical Application I: Deriving an FWPR from a Fuzzy Preference Function -- References -- Arrow and the Aggregation of Fuzzy Preferences -- 4.1 Fuzzifying Arrow's Conditions -- 4.1.1 Transitivity -- 4.1.2 Weak Paretianism -- 4.1.3 Independence of Irrelevant Alternatives -- 4.1.4 Dictatorship -- 4.2 Making and Breaking Arrow's Theorem -- 4.3 Empirical Application II: The Spatial Model and Fuzzy Aggregation -- References -- Characteristics of Strategy-Proof Fuzzy Social Choice -- 5.1 Fuzzy Choice and Manipulation -- 5.2 Fuzzy Social Choice: Definitions and Concepts -- 5.2.1 Fuzzifying ASB II -- 5.2.2 Relaxing the Conditions of Abdelaziz et. al. -- 5.3 Findings -- 5.4 Implications for the Spatial Model -- 5.5 Conclusions -- References -- Fuzzy Black's Median Voter Theorem -- 6.1 The Structure of Fuzzy Rules and Strict Preference -- 6.2 Basic Definitions and Concepts -- 6.3 New and Old Fuzzy Voting Rules -- 6.4 Single-Peaked Preferences and the Maximal Set -- 6.5 Extending Black's Median Voter Theorem -- 6.6 An Application -- 6.7 Conclusions and Spatial Models -- References -- Representing Thick Indifference in Spatial Models -- 7.1 Stability and Thick Indifference in Individual Preferences

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7.2 Modeling Thick Indifference in Individual Preferences -- 7.3 An Empirical Application -- 7.4 Proof of the Homomorphism -- 7.5 The Existence of a Majority Rule Maximal Set -- 7.5.1 Conditions for the Existence of a Majority Rule Maximal Set -- 4.5.2 The Three-Player Case -- 7.6 Implications -- References -- Conclusion -- References -- Index