Social choice theory : an introductory text / / Satish Kumar Jain

• Autore: Jain Satish Kumar
• Pubblicazione: Singapore : , : Springer, , [2022]; ©2022
• Descrizione fisica: 1 online resource (211 pages)
• Disciplina: 302.13
• Soggetto topico: Social choice
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Titolo autorizzato: Social Choice Theory
• ISBN: 9789811696619; 9789811696602
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910629286003321
• Lo trovi qui: Univ. Federico II
• Serie: Springer texts in business and economics.