The logic of collective choice:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Columbia Univ. Press
1986
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 315 S. |
| ISBN: | 0231058969 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
Foreword xi
Charles R. Plott
Preface xiii
Introduction 1
PART I/THE FORMAL REPRESENTATION OF
CHOICE PROCESSES
Chapter I/Choice Functions 11
1.1 The Choice Function Concept 11
1.2 Some Questions About this Approach 12
1.3 Classical Conditions of Rational Choice 16
1.4 What Is this Thing Called Preference ? 20
Chapter 2/Individual Participation 24
2.1 Collective Choice as a Function of Individual Preference 24
Individual Preferences 24
Collective Choice, Preference, and Indifference 27
Decisive Sets 27
2.2 Preference Intensities 28
2.3 Preferences Involving Infeasible Alternatives 32
2.4 Simple Majority Rule 37
Sources and Related Contributions 41
PART II/COLLECUVE CHOICE AND
COLLECTIVE RATIONALITY
Chapter 3/Voting Paradoxes 47
3.1 The Classical Voting Paradox: Theme and Variations 47
3.2 Arrow s Paradox 51
Theorem and Proof 51
Weaker Rationality Conditions 55
viii / CONTENTS
3.3 Collective P Transitivity and Oligarchies 57
3.4 Transitivity Conditions Between Collective P Transitivity
and Collective P + I Transitivity 60
3.5 Impossibility Theorems Based on Collective P Acyclicity 63
First Theorem: Minimum Resoluteness 63
Second Theorem: Positive Responsiveness 65
3.6 A Really General Impossibility Theorem 68
3.7 Summary of Impossibility Theorems 81
Chapter 4/Extent of the Problem 85
4.1 Which Preference Profiles Give Rise to Cycles? 85
Single Peakedness 85
More Than One Dimension 87
Nongeometric Generalizations of Single Peakedness 90
Condorcet Freedom: Generalization of Black s
Theorem 91
Condorcet Effectiveness: A Necessary Condition 96
4.2 How Essential Is Binary Independence? 100
Weakening Independence 100
Allowing Nontransitive Individual Indifference 103
4.3 What If Collective Choices Reflected Individual Preference
Intensities? 104
4.4 What About Individual Choice? 113
Chapter 5/How Reasonable Is Rationality ? 116
5.1 Pinning Blame 116
5.2 Rationality Conditions and Their Rationale 125
Sources and Related Contributions 131
PART m/THE GENERAL THEORY OF SOLUTIONS
Chapter 6/GETCHA and GOCHA 139
6.1 Spaying BICH 139
GETCHA 140
GOCHA 141
Dominant and Undominated Subsets 143
6.2 Equivalent Formulations: Top Cycles and Ancestrals 144
6.3 BICH, GETCHA, and GOCHA: Their Connections 147
6.4 Stability Properties: Axiomatic Characterizations of the
GOCHA and GETCHA Functions 152
6.5 The Pareto Efficiency Problem 155
CONTENTS / ix
Chapter 7/SOCO 159
7.1 Power 159
Power Structures: Definition 159
Properties of Power Structures 163
7.2 Exercise 164
7.3 Solutions 168
7.4 BICH, GETCHA, GOCHA, and SOCO 170
Chapter 8/Choosing By Voting 176
8.1 The Problem 176
8.2 The Solution 183
Sources and Related Contributions 187
PART IV/COLLECTrVE CHOICE PROCESSES DISSECTED
Chapter 9/Multistage Choice Processes 191
9.1 The Concept of a Multistage Choice 191
9.2 Some Salient Sorts of Multistage Choice Process 199
9.3 The Indeterminacy of Multistage Choice Processes 202
Multistage Choice and GOCHA 202
Multistage Choice and GETCHA 207
9.4 A General Determinacy Theorem 209
9.5 Special Cases 212
9.6 Cycles and Serial Choice 220
Chapter 10/Choosing the Set from Which to Choose 224
10.1 What Is Feasible? 224
10.2 Insensitivity to What Is Feasible 229
The Conditions: WARP and Variations 229
Their Logical Relationships 232
Insensitivity and Rationality 234
Weaker Conditions 239
10.3 Reduction and Adaptation 241
10.4 Choice by Specification 244
Formalization 244
The GOCHA* Set as Target 246
Chapter 1 I/Multiple Issues 252
11.1 Multi Issue Choices and their Multiplicity 252
11.2 The Universal Instability Theorem 254
11.3 Eight Things Worth Noting About this Theorem 259
x / CONTENTS
11.4 Decentralization, Cooperation, and SOCO 2 266
The Concept of Cooperation 266
Economic Exchange 267
Prisoners Dilemma 268
Sen s Liberal Paradox 269
Cooperation Problems Under Majority Rule 273
11.5 Collective Control and Individual Choice 274
Sources and Related Contributions 278
Conclusion 280
Appendix: Terms and Symbols of Set Theory 283
References and Selected Bibliography 293
Index 309
|
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| discipline | Soziologie Wirtschaftswissenschaften |
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| id | DE-604.BV000465796 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:14:22Z |
| institution | BVB |
| isbn | 0231058969 |
| language | English |
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| physical | XIV, 315 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Columbia Univ. Press |
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| spelling | Schwartz, Thomas 1943- Verfasser (DE-588)170151719 aut The logic of collective choice Thomas Schwartz New York Columbia Univ. Press 1986 XIV, 315 S. txt rdacontent n rdamedia nc rdacarrier Social choice Kollektiventscheidung (DE-588)4022393-0 gnd rswk-swf Gruppenentscheidung (DE-588)4158442-9 gnd rswk-swf Entscheidungstheorie (DE-588)4138606-1 gnd rswk-swf Rationalität (DE-588)4048507-9 gnd rswk-swf Kollektiventscheidung (DE-588)4022393-0 s DE-604 Entscheidungstheorie (DE-588)4138606-1 s Rationalität (DE-588)4048507-9 s Gruppenentscheidung (DE-588)4158442-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000287002&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schwartz, Thomas 1943- The logic of collective choice Social choice Kollektiventscheidung (DE-588)4022393-0 gnd Gruppenentscheidung (DE-588)4158442-9 gnd Entscheidungstheorie (DE-588)4138606-1 gnd Rationalität (DE-588)4048507-9 gnd |
| subject_GND | (DE-588)4022393-0 (DE-588)4158442-9 (DE-588)4138606-1 (DE-588)4048507-9 |
| title | The logic of collective choice |
| title_auth | The logic of collective choice |
| title_exact_search | The logic of collective choice |
| title_full | The logic of collective choice Thomas Schwartz |
| title_fullStr | The logic of collective choice Thomas Schwartz |
| title_full_unstemmed | The logic of collective choice Thomas Schwartz |
| title_short | The logic of collective choice |
| title_sort | the logic of collective choice |
| topic | Social choice Kollektiventscheidung (DE-588)4022393-0 gnd Gruppenentscheidung (DE-588)4158442-9 gnd Entscheidungstheorie (DE-588)4138606-1 gnd Rationalität (DE-588)4048507-9 gnd |
| topic_facet | Social choice Kollektiventscheidung Gruppenentscheidung Entscheidungstheorie Rationalität |
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