Cover: Consistency, Choice, and Rationality, from Harvard University PressCover: Consistency, Choice, and Rationality in HARDCOVER

Consistency, Choice, and Rationality

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Product Details

HARDCOVER

$51.50 • £41.95 • €46.50

ISBN 9780674052994

Publication Date: 10/15/2010

Short

230 pages

6-1/8 x 9-1/4 inches

1 table

World

  • 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 Unified 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 Characterizations 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

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