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Incentives in Decentralized Random Matching Markets

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  • Joana Pais

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 act truthfully, every 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.

Suggested Citation

  • Joana Pais, 2006. "Incentives in Decentralized Random Matching Markets," Working Papers Department of Economics 2006/12, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    • Handle: RePEc:ise:isegwp:wp122006
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    References listed on IDEAS

    as
    1. 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.
    2. Dipjyoti Majumdar, 2003. "Ordinally Bayesian Incentive Compatible Stable Matching," Working Papers hal-00242988, HAL.
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    4. Guillaume Haeringer & Myrna Wooders, 2011. "Decentralized job matching," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 1-28, February.
    5. Muriel Niederle & Alvin E. Roth, 2003. "Unraveling Reduces Mobility in a Labor Market: Gastroenterology with and without a Centralized Match," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1342-1352, December.
    6. Roth, Alvin E & Xing, Xiaolin, 1997. "Turnaround Time and Bottlenecks in Market Clearing: Decentralized Matching in the Market for Clinical Psychologists," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 284-329, April.
    7. Ehlers, Lars & Masso, Jordi, 2007. "Incomplete information and singleton cores in matching markets," Journal of Economic Theory, Elsevier, vol. 136(1), pages 587-600, September.
    8. 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.
    9. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541, Elsevier.
    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.
    11. Roth, Alvin E & Xing, Xiaolin, 1994. "Jumping the Gun: Imperfections and Institutions Related to the Timing of Market Transactions," American Economic Review, American Economic Association, vol. 84(4), pages 992-1044, September.
    12. Roth, Alvin E., 1984. "Misrepresentation and stability in the marriage problem," Journal of Economic Theory, Elsevier, vol. 34(2), pages 383-387, December.
    13. Dipjyoti Majumdar & Arunava Sen, 2004. "Ordinally Bayesian Incentive Compatible Voting Rules," Econometrica, Econometric Society, vol. 72(2), pages 523-540, March.
    14. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
    15. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
    16. Roth, Alvin E & Vande Vate, John H, 1991. "Incentives in Two-Sided Matching with Random Stable Mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 31-44, January.
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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. Federico Echenique & Leeat Yariv, 2013. "An Experimental Study of Decentralized Matching," Working Papers 2013-3, Princeton University. Economics Department..
    6. Horstschräer, Julia, 2012. "Decentralizing university admission: Evidence from a natural experiment," ZEW Discussion Papers 12-076, ZEW - Leibniz Centre for European Economic Research.
    7. 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.
    8. 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.
    9. Somouaoga BONKOUNGOU, 2016. "Pareto Dominance of Deferred Acceptance through Early Decision," Cahiers de recherche 11-2016, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    10. Alexey Kushnir, 2009. "Matching Markets with Signals," Working Papers 2009.39, Fondazione Eni Enrico Mattei.
    11. 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.
    12. Wu, Qinggong, 2015. "A finite decentralized marriage market with bilateral search," Journal of Economic Theory, Elsevier, vol. 160(C), pages 216-242.
    13. Günnur Ege Bilgin, 2024. "Decentralized Many-to-One Matching With Random Search," CRC TR 224 Discussion Paper Series crctr224_2024_541, University of Bonn and University of Mannheim, Germany.
    14. 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.
    15. B. Evci, 2014. "A new dynamic mechanism to the marriage problem with a variant," Working Papers wp973, Dipartimento Scienze Economiche, Universita' di Bologna.
    16. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," NBER Working Papers 14840, National Bureau of Economic Research, Inc.
    17. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," Working Papers 2009-3, Princeton University. Economics Department..
    18. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2015. "Decentralized matching: The role of commitment," Games and Economic Behavior, Elsevier, vol. 92(C), pages 1-17.
    19. Yazıcı, Ayşe, 2022. "Decentralized matching at senior-level: Stability and incentives," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    20. 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.
    21. 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.;
    All these keywords.

    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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