03671nam 2200433 450 991062928600332120230317172418.09789811696619(electronic bk.)9789811696602(MiAaPQ)EBC7130094(Au-PeEL)EBL7130094(CKB)25264918000041(EXLCZ)992526491800004120230317d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSocial choice theory an introductory text /Satish Kumar JainSingapore :Springer,[2022]©20221 online resource (211 pages)Springer texts in business and economicsPrint version: Jain, Satish Kumar Social Choice Theory Singapore : Springer,c2022 9789811696602 Includes bibliographical references and index.Intro -- Preface -- Contents -- About the Author -- Abbreviations -- Symbols -- 1 Introduction -- 2 Elementary Logic -- 2.1 Sentential Logic -- 2.1.1 Logical Connectives -- 2.1.2 Well-Formed Sentential Formulas -- 2.1.3 Tautologies, Contradictions, Contingent Formulas, and Logical Equivalences -- 2.1.4 Three Standard Proof Methods -- 2.2 Predicate Logic -- 2.2.1 Universally Valid Formulas -- 3 Sets, Relations, Functions -- 3.1 Sets -- 3.2 Relations -- 3.3 Functions -- 4 Binary Relations -- 4.1 Binary Relations and Some Important Properties -- 4.2 Some Elementary Propositions About Binary Relations -- 5 Social Choice Theoretic Framework and Arrow Impossibility Theorem -- 5.1 Social Choice Theoretic Framework -- 5.2 Arrow Impossibility Theorem -- 6 Some Important Value-Judgments, Rules and Theorems -- 6.1 Pareto-Optimality and Paretian Value-Judgment -- 6.2 Three Important Conditions on Social Decision Rules -- 6.2.1 Monotonicity Conditions -- 6.2.2 Anonymity (A) -- 6.2.3 Neutrality (N) -- 6.3 Characterization of the Method of Majority Decision -- 6.4 Pareto-Rule -- 7 Implications of Weakening of Some of Arrow Conditions -- 7.1 Implications of Weakening of Transitivity to Quasi-Transitivity -- 7.2 Implications of Weakening of Transitivity to Acyclicity -- 7.3 Acyclicity Under m-1m-Majority Rules -- 8 The Method of Majority Decision: Conditions for Transitivity and Quasi-Transitivity -- 8.1 The Reduced Form of a Profile -- 8.2 Necessary and Sufficient Condition for Transitivity -- 8.3 Necessary and Sufficient Condition for Quasi-Transitivity -- 8.4 Domain Restriction Conditions for Transitivity and Quasi-Transitivity -- 8.5 Latin Squares -- 8.6 Restrictions on Preferences -- 8.7 Domain Restriction Conditions for Transitivity and Quasi-Transitivity … -- 8.8 Single-Peaked Preferences -- 9 Strategic Aspects.9.1 Definitions, Assumptions, and Notation -- 9.2 Manipulability of Rules -- 9.2.1 The Two-Alternative Case -- 9.2.2 Manipulability of the MMD -- 9.2.3 The Plurality Rule -- 9.2.4 Manipulability of the Plurality Rule -- 9.3 Existence of Nash Equilibria -- 9.4 Existence of Strong Equilibria Under the Method of Majority Decision -- 9.5 Existence of Strong Equilibria Under the Plurality Rule -- 10 Summary and Concluding Remarks -- Solutions and Answers to Exercises -- Appendix References -- Subject Index.Springer texts in business and economics.Social choice. Social choice. .302.13Jain Satish Kumar781850MiAaPQMiAaPQMiAaPQ9910629286003321Social Choice Theory2967828UNINA