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Maximal Domains for Strategy-Proof Pairwise Exchange

Author

Listed:
  • Carmelo Rodríguez-Álvarez

    (Universidad Complutense de Madrid and ICAE (Spain).)

Abstract

We analyze centralized non-monetary markets for indivisible objects through pairwise exchange when each agent initially owns a single object. We characterize a family of do- mains of preferences (minimal reversal domains) such that there exist pairwise exchange rules that satisfy individual rationality, efficiency, and strategy-proofness. Minimal reversal domains are maximal rich domains for individual rationality, efficiency, and strategy- proofness. Each minimal reversal domain is defined by a common ranking of the set of objects, and agents’ preferences over admissible objects coincide with such common rank- ing but for a specific pair of objects.

Suggested Citation

  • Carmelo Rodríguez-Álvarez, 2021. "Maximal Domains for Strategy-Proof Pairwise Exchange," Documentos de Trabajo del ICAE 2021-10, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    • Handle: RePEc:ucm:doicae:2110
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    References listed on IDEAS

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    More about this item

    Keywords

    Pairwise Exchange; Individual Rationality; Constrained Efficiency; Strategy-Proofness; Maximal Domain.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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