Consistency, Choice, and Rationality.
Bossert, Walter.
Consistency, Choice, and Rationality. - 1st ed. - 1 online resource (231 pages)
Intro -- Contents -- Preface -- I. Foundations -- 1. Historical Background -- 1.1 Suzumura Consistency -- 1.2 Rational Choice as Purposive Behavior -- 1.3 Samuelson's Weak Axiom -- 1.4 Houthakker's Axiom -- 1.5 General Choice Functions -- 1.6 Rational Choice: An Outlook -- 1.7 Reference-Dependent Choice -- 1.8 External Norms -- 1.9 Welfare Economics and Social Choice Theory -- 1.10 Beyond Finite-Population Social Choice -- 2. Mathematical Background -- 2.1 Binary Relations -- 2.2 Greatest and Maximal Elements -- 2.3 Extensions of Relations -- 2.4 Filters and Ultrafilters -- II. Rationalizability on General Domains -- 3. Definitions of Rationalizability -- 3.1 Preliminaries -- 3.2 Greatest-Element Rationalizability -- 3.3 Maximal-Element Rationalizability -- 3.4 A Synthesis -- 4. Characterizations -- 4.1 A Preliminary Result -- 4.2 Three Special Cases -- 4.3 A Unifed Approach -- 4.4 Summary -- III. Rationalizability on Specific Domains -- 5. Domain Closedness Properties -- 5.1 Additional Choice Coherence Axioms -- 5.2 Logical Relationships -- 5.3 Closedness under Intersection -- 5.4 Closedness under Union -- 6. Cardinality-Complete Domains -- 6.1 Base Domains -- 6.2 Logical Relationships on Base Domains -- 6.3 Characterizations on Base Domains -- 6.4 Base Domains and Closedness under Union -- IV. Alternative Notions of Rationalizability -- 7. Non-deteriorating Choice -- 7.1 Individual Non-deteriorating Choice -- 7.2 Characterization of ND-Rationalizability -- 7.3 The Multi-agent Case -- 7.4 Characterizing Efficient and Non-deteriorating Choice -- 8. External Norms and Rational Choice -- 8.1 Internal Coherence of Choice -- 8.2 Norm-Conditional Choice -- 8.3 Norm-Conditional Rationalizability -- 8.4 Characterization Results -- V. Topics in Social Choice Theory -- 9. Collective Choice Rules -- 9.1 Weakening Social Coherence Properties. 9.2 Earlier Results -- 9.3 Generalizations of the Pareto Rule -- 9.4 A Characterization -- 10. Decisiveness and Infinite Populations -- 10.1 Decisive Coalitions, Filters, and Ultrafilters -- 10.2 Decisiveness without Social Richness Assumptions -- 10.3 Intergenerational Social Choice -- 10.4 Multi-profile Stationarity -- References -- Index.
No detailed description available for "Consistency, Choice, and Rationality".
9780674059214
Rational choice theory.
Social choice-Mathematical models.
Welfare economics.
Electronic books.
HM495
302/.13015118
Consistency, Choice, and Rationality. - 1st ed. - 1 online resource (231 pages)
Intro -- Contents -- Preface -- I. Foundations -- 1. Historical Background -- 1.1 Suzumura Consistency -- 1.2 Rational Choice as Purposive Behavior -- 1.3 Samuelson's Weak Axiom -- 1.4 Houthakker's Axiom -- 1.5 General Choice Functions -- 1.6 Rational Choice: An Outlook -- 1.7 Reference-Dependent Choice -- 1.8 External Norms -- 1.9 Welfare Economics and Social Choice Theory -- 1.10 Beyond Finite-Population Social Choice -- 2. Mathematical Background -- 2.1 Binary Relations -- 2.2 Greatest and Maximal Elements -- 2.3 Extensions of Relations -- 2.4 Filters and Ultrafilters -- II. Rationalizability on General Domains -- 3. Definitions of Rationalizability -- 3.1 Preliminaries -- 3.2 Greatest-Element Rationalizability -- 3.3 Maximal-Element Rationalizability -- 3.4 A Synthesis -- 4. Characterizations -- 4.1 A Preliminary Result -- 4.2 Three Special Cases -- 4.3 A Unifed Approach -- 4.4 Summary -- III. Rationalizability on Specific Domains -- 5. Domain Closedness Properties -- 5.1 Additional Choice Coherence Axioms -- 5.2 Logical Relationships -- 5.3 Closedness under Intersection -- 5.4 Closedness under Union -- 6. Cardinality-Complete Domains -- 6.1 Base Domains -- 6.2 Logical Relationships on Base Domains -- 6.3 Characterizations on Base Domains -- 6.4 Base Domains and Closedness under Union -- IV. Alternative Notions of Rationalizability -- 7. Non-deteriorating Choice -- 7.1 Individual Non-deteriorating Choice -- 7.2 Characterization of ND-Rationalizability -- 7.3 The Multi-agent Case -- 7.4 Characterizing Efficient and Non-deteriorating Choice -- 8. External Norms and Rational Choice -- 8.1 Internal Coherence of Choice -- 8.2 Norm-Conditional Choice -- 8.3 Norm-Conditional Rationalizability -- 8.4 Characterization Results -- V. Topics in Social Choice Theory -- 9. Collective Choice Rules -- 9.1 Weakening Social Coherence Properties. 9.2 Earlier Results -- 9.3 Generalizations of the Pareto Rule -- 9.4 A Characterization -- 10. Decisiveness and Infinite Populations -- 10.1 Decisive Coalitions, Filters, and Ultrafilters -- 10.2 Decisiveness without Social Richness Assumptions -- 10.3 Intergenerational Social Choice -- 10.4 Multi-profile Stationarity -- References -- Index.
No detailed description available for "Consistency, Choice, and Rationality".
9780674059214
Rational choice theory.
Social choice-Mathematical models.
Welfare economics.
Electronic books.
HM495
302/.13015118