Consistency, Choice, and Rationality

Contents\r......Page 6
Preface\r......Page 10
I. Foundations\r......Page 14
1.1 Suzumura Consistency\r......Page 16
1.2 Rational Choice as Purposive Behavior\r......Page 19
1.3 Samuelson\'s Weak Axiom\r......Page 20
1.4 Houthakker\'s Axiom\r......Page 25
1.5 General Choice Functions\r......Page 28
1.6 Rational Choice: An Outlook\r......Page 33
1.7 Reference-Dependent Choice\r......Page 34
1.8 External Norms\r......Page 36
1.9 Welfare Economics and Social Choice Theory\r......Page 39
1.10 Beyond Finite-Population Social Choice\r......Page 42
2.1 Binary Relations\r......Page 45
2.2 Greatest and Maximal Elements\r......Page 54
2.3 Extensions of Relations\r......Page 55
2.4 Filters and Ultrafilters\r......Page 65
II. Rationalizability on General Domains\r......Page 68
3.1 Preliminaries\r......Page 70
3.2 Greatest-Element Rationalizability\r......Page 74
3.3 Maximal-Element Rationalizability\r......Page 85
3.4 A Synthesis\r......Page 88
4.1 A Preliminary Result\r......Page 90
4.2 Three Special Cases\r......Page 91
4.3 A Unifed Approach\r......Page 94
4.4 Summary\r......Page 122
III. Rationalizability on Specific Domains\r......Page 126
5.1 Additional Choice Coherence Axioms\r......Page 128
5.2 Logical Relationships\r......Page 132
5.3 Closedness under Intersection\r......Page 134
5.4 Closedness under Union\r......Page 135
6.2 Logical Relationships on Base Domains\r......Page 141
6.3 Characterizations on Base Domains\r......Page 143
6.4 Base Domains and Closedness under Union\r......Page 147
IV. Alternative Notions of Rationalizability\r......Page 150
7.1 Individual Non-deteriorating Choice\r......Page 152
7.2 Characterization of ND-Rationalizability\r......Page 157
7.3 The Multi-agent Case\r......Page 159
7.4 Characterizing Efficient and Non-deteriorating Choice\r......Page 166
8.1 Internal Coherence of Choice\r......Page 175
8.2 Norm-Conditional Choice\r......Page 176
8.3 Norm-Conditional Rationalizability\r......Page 177
8.4 Characterization Results\r......Page 178
V. Topics in Social Choice Theory\r......Page 184
9.1 Weakening Social Coherence Properties\r......Page 186
9.2 Earlier Results\r......Page 190
9.3 Generalizations of the Pareto Rule\r......Page 191
9.4 A Characterization\r......Page 193
10.1 Decisive Coalitions, Filters, and Ultrafilters\r......Page 198
10.2 Decisiveness without Social Richness Assumptions\r......Page 200
10.3 Intergenerational Social Choice\r......Page 206
10.4 Multi-profile Stationarity\r......Page 211
References\r......Page 218
Index\r......Page 228