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Efficiency and maximality in anonymous two-sided economies

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  • Afodjo, Nabil
  • Pongou, Roland

Abstract

We study efficiency and maximality in anonymous two-sided economies, where each agent only cares about trading with a desired number of partners from the opposite side. For both homogeneous and heterogeneous economies, we provide a necessary and sufficient condition that ensures the efficiency of all pairwise stable matchings. In addition, we provide a sufficient condition for maximality in heterogeneous economies. These conditions have implications for the design of anonymous markets that function optimally without the continuous intervention of a social planner.

Suggested Citation

  • Afodjo, Nabil & Pongou, Roland, 2024. "Efficiency and maximality in anonymous two-sided economies," Games and Economic Behavior, Elsevier, vol. 146(C), pages 184-195.
    • Handle: RePEc:eee:gamebe:v:146:y:2024:i:c:p:184-195
    DOI: 10.1016/j.geb.2024.04.003
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    References listed on IDEAS

    as
    1. Klaus, Bettina & Klijn, Flip, 2007. "Paths to stability for matching markets with couples," Games and Economic Behavior, Elsevier, vol. 58(1), pages 154-171, January.
    2. Roberto Serrano, 2013. "Lloyd Shapley's Matching and Game Theory," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(3), pages 599-618, July.
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    4. Alvin E. Roth, 1985. "Conflict and Coincidence of Interest in Job Matching: Some New Results and Open Questions," Mathematics of Operations Research, INFORMS, vol. 10(3), pages 379-389, August.
    5. Roland Pongou & Roberto Serrano, 2013. "Fidelity Networks and Long-Run Trends in HIV/AIDS Gender Gaps," American Economic Review, American Economic Association, vol. 103(3), pages 298-302, May.
    6. Yeon‐Koo Che & Jinwoo Kim & Fuhito Kojima, 2019. "Stable Matching in Large Economies," Econometrica, Econometric Society, vol. 87(1), pages 65-110, January.
    7. Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January.
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    9. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-1480, November.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Anonymous two-sided economies; Pairwise stable matchings; Efficiency; Maximality; Structural conditions;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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