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Independent random matching

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  • Konrad Podczeck
  • Daniela Puzzello

Abstract

Random matching models with a continuum population are widely used in economics to study environments where agents interact in small coalitions. This paper provides foundations to such models. In particular, the paper establishes an existence result for random matchings that are universal in the sense that certain desirable properties are satisfied for any assignment of types to agents. The result applies to infinitely many types of agents, thus covering random matching models which are currently used in the literature without a foundation. Furthermore, the paper provides conditions guaranteeing uniqueness of random matching.
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Suggested Citation

  • Konrad Podczeck & Daniela Puzzello, 2012. "Independent random matching," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 1-29, May.
    • Handle: RePEc:spr:joecth:v:50:y:2012:i:1:p:1-29
    DOI: 10.1007/s00199-010-0584-4
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    Cited by:

    1. Hedlund, Jonas & Oyarzun, Carlos, 2016. "Imitation in Heterogeneous Populations," Working Papers 0625, University of Heidelberg, Department of Economics.
    2. Artem Neklyudov, 2019. "Bid-Ask Spreads and the Over-the-Counter Interdealer Markets: Core and Peripheral Dealers," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 33, pages 57-84, July.
    3. Mendolicchio, Concetta & Paolini, Dimitri & Pietra, Tito, 2012. "Investments in education and welfare in a two-sector, random matching economy," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 367-385.
    4. Chae, Suchan & Song, Jaehee, 2017. "Price competition between random and assortive matchmakers," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 63-72.
    5. Camargo, Braz & Lester, Benjamin, 2014. "Trading dynamics in decentralized markets with adverse selection," Journal of Economic Theory, Elsevier, vol. 153(C), pages 534-568.
    6. Pinheiro, Roberto & Visschers, Ludo, 2015. "Unemployment risk and wage differentials," Journal of Economic Theory, Elsevier, vol. 157(C), pages 397-424.
    7. Duffie, Darrell & Qiao, Lei & Sun, Yeneng, 2018. "Dynamic directed random matching," Journal of Economic Theory, Elsevier, vol. 174(C), pages 124-183.
    8. Camargo, Braz, 2014. "Learning in society," Games and Economic Behavior, Elsevier, vol. 87(C), pages 381-396.
    9. Graziano, Maria Gabriella & Meo, Claudia & Yannelis, Nicholas C., 2017. "Stable sets for exchange economies with interdependent preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 267-286.
    10. Carlos Alós-Ferrer & Klaus Ritzberger, 2013. "Large extensive form games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 75-102, January.
    11. Jonas Hedlund & Carlos Oyarzun, 2018. "Imitation in heterogeneous populations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(4), pages 937-973, June.
    12. Lee, Manjong, 2013. "Coexistence and welfare cost of inflation," Journal of Macroeconomics, Elsevier, vol. 36(C), pages 23-32.
    13. Mihaela Schaar & Jie Xu & William Zame, 2013. "Efficient online exchange via fiat money," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 211-248, October.
    14. Tai-Wei Hu, 2013. "Imperfect recognizability and coexistence of money and higher-return assets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 111-138, May.
    15. Shigeru Makioka, 2015. "A search model with match makers," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 153-168, October.

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    More about this item

    Keywords

    Random matching; Involution; Independence; Continuum population; Fubini extension; C00; C02; C73; C78;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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