Contents
Preface
I. Foundations
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
2.1 Binary Relations
2.2 Greatest and Maximal Elements
2.3 Extensions of Relations
2.4 Filters and Ultrafilters
II. Rationalizability on General Domains
3.1 Preliminaries
3.2 Greatest-Element Rationalizability
3.3 Maximal-Element Rationalizability
3.4 A Synthesis
4.1 A Preliminary Result
4.2 Three Special Cases
4.3 A Unifed Approach
4.4 Summary
III. Rationalizability on Specific Domains
5.1 Additional Choice Coherence Axioms
5.2 Logical Relationships
5.3 Closedness under Intersection
5.4 Closedness under Union
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
7.1 Individual Non-deteriorating Choice
7.2 Characterization of ND-Rationalizability
7.3 The Multi-agent Case
7.4 Characterizing Efficient and Non-deteriorating Choice
8.1 Internal Coherence of Choice
8.2 Norm-Conditional Choice
8.3 Norm-Conditional Rationalizability
8.4 Characterization Results
V. Topics in Social Choice Theory
9.1 Weakening Social Coherence Properties
9.2 Earlier Results
9.3 Generalizations of the Pareto Rule
9.4 A Characterization
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