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Incentives in decentralized random matching markets

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  • Pais, Joana

Abstract

Decentralized markets are modeled by means of a sequential game where, starting from any matching situation, firms are randomly given the opportunity to make job offers. In this random context, we prove the existence of ordinal subgame perfect equilibria where firms act according to a list of preferences. Moreover, every such equilibrium preserves stability for a particular profile of preferences. In particular, when firms best reply by acting truthfully, every equilibrium outcome is stable for the true preferences. Conversely, when the initial matching is the empty matching, every stable matching can be reached as the outcome of an ordinal equilibrium play of the game.

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  • Pais, Joana, 2008. "Incentives in decentralized random matching markets," Games and Economic Behavior, Elsevier, vol. 64(2), pages 632-649, November.
    • Handle: RePEc:eee:gamebe:v:64:y:2008:i:2:p:632-649
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    10. Blum, Yosef & Roth, Alvin E. & Rothblum, Uriel G., 1997. "Vacancy Chains and Equilibration in Senior-Level Labor Markets," Journal of Economic Theory, Elsevier, vol. 76(2), pages 362-411, October.
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    Cited by:

    1. Somouaoga Bonkoungou, 2021. "Decentralized college admissions under single application," Review of Economic Design, Springer;Society for Economic Design, vol. 25(1), pages 65-91, June.
    2. Kushnir, Alexey, 2013. "Harmful signaling in matching markets," Games and Economic Behavior, Elsevier, vol. 80(C), pages 209-218.
    3. Guillaume Haeringer & Myrna Wooders, 2011. "Decentralized job matching," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 1-28, February.
    4. Joana Pais, 2008. "Random matching in the college admissions problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(1), pages 99-116, April.
    5. Horstschräer, Julia, 2012. "Decentralizing university admission: Evidence from a natural experiment," ZEW Discussion Papers 12-076, ZEW - Leibniz Centre for European Economic Research.
    6. André Veski & Kaire Põder, 2018. "Zero-intelligence agents looking for a job," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(3), pages 615-640, October.
    7. Eun Jeong Heo & Vikram Manjunath, 2017. "Implementation in stochastic dominance Nash equilibria," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 5-30, January.
    8. Somouaoga BONKOUNGOU, 2016. "Pareto Dominance of Deferred Acceptance through Early Decision," Cahiers de recherche 11-2016, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    9. Alexey Kushnir, 2009. "Matching Markets with Signals," Working Papers 2009.39, Fondazione Eni Enrico Mattei.
    10. Joana Pais & Ágnes Pintér & Róbert F. Veszteg, 2020. "Decentralized matching markets with(out) frictions: a laboratory experiment," Experimental Economics, Springer;Economic Science Association, vol. 23(1), pages 212-239, March.
    11. Wu, Qinggong, 2015. "A finite decentralized marriage market with bilateral search," Journal of Economic Theory, Elsevier, vol. 160(C), pages 216-242.
    12. Federico Echenique & Leeat Yariv, 2013. "An Experimental Study of Decentralized Matching," Working Papers 2013-3, Princeton University. Economics Department..
    13. Joana Pais, 2006. "On Random Matching Markets: Properties and Equilibria," Working Papers Department of Economics 2006/11, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    14. B. Evci, 2014. "A new dynamic mechanism to the marriage problem with a variant," Working Papers wp973, Dipartimento Scienze Economiche, Universita' di Bologna.
    15. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," NBER Working Papers 14840, National Bureau of Economic Research, Inc.
    16. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," Working Papers 2009-3, Princeton University. Economics Department..
    17. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2015. "Decentralized matching: The role of commitment," Games and Economic Behavior, Elsevier, vol. 92(C), pages 1-17.
    18. Yazıcı, Ayşe, 2022. "Decentralized matching at senior-level: Stability and incentives," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    19. Yasushi Kawase & Keisuke Bando, 2021. "Subgame perfect equilibria under the deferred acceptance algorithm," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 503-546, June.
    20. Ayse Yazici, 2022. "Decentralized Matching at Senior-Level: Stability and Incentives," Working Papers 2022_01, Durham University Business School.

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    More about this item

    Keywords

    Matching markets Stability Random mechanisms;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • J44 - Labor and Demographic Economics - - Particular Labor Markets - - - Professional Labor Markets and Occupations

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