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Decentralized Job Matching

Author

Listed:
  • Haeinger, Guillaume

    (Universitat Aut`onoma de Barcelona)

  • Wooders, Myrna

    (Department of Economics, University of Warwick)

Abstract

This paper studies a decentralized job market model where firms (academic departments) propose sequentially a (unique) position to some workers (Ph.D. candidates). Successful candidates then decide whether to accept the offers, and departments whose positions remain unfilled propose to other candidates. We distinguish between several cases, depending on whether agents’ actions are simultaneous and/or irreversible (if a worker accepts an offer he is immediately matched, and both the worker and the firm to which she is matched go out of the market). For all these cases, we provide a complete characterization of the Nash equilibrium outcomes and the Subgame Perfect equilibria. While the set of Nash equilibria outcomes contain all individually rational matchings, it turns out that in most cases considered all subgame perfect equilibria yield a unique outcome, the worker-optimal matching.

Suggested Citation

  • Haeinger, Guillaume & Wooders, Myrna, 2003. "Decentralized Job Matching," The Warwick Economics Research Paper Series (TWERPS) 688, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:688
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    File URL: https://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/2008/twerp688.pdf
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    References listed on IDEAS

    as
    1. Alcalde, Jose, 1996. "Implementation of Stable Solutions to Marriage Problems," Journal of Economic Theory, Elsevier, vol. 69(1), pages 240-254, April.
    2. Pais, Joana, 2008. "Incentives in decentralized random matching markets," Games and Economic Behavior, Elsevier, vol. 64(2), pages 632-649, November.
    3. Alcalde, Jose & Romero-Medina, Antonio, 2000. "Simple Mechanisms to Implement the Core of College Admissions Problems," Games and Economic Behavior, Elsevier, vol. 31(2), pages 294-302, May.
    4. Sang-Chul Suh & Quan Wen, 2008. "Subgame perfect implementation of stable matchings in marriage problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 163-174, June.
    5. 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.
    6. Alcalde, Jose & Perez-Castrillo, David & Romero-Medina, Antonio, 1998. "Hiring Procedures to Implement Stable Allocations," Journal of Economic Theory, Elsevier, vol. 82(2), pages 469-480, October.
    7. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," NBER Working Papers 14840, National Bureau of Economic Research, Inc.
    8. 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.
    9. 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.
    10. Alvin E. Roth & Uriel G. Rothblum, 1999. "Truncation Strategies in Matching Markets--In Search of Advice for Participants," Econometrica, Econometric Society, vol. 67(1), pages 21-44, January.
    11. Martinez, Ruth & Masso, Jordi & Neme, Alejandro & Oviedo, Jorge, 2000. "Single Agents and the Set of Many-to-One Stable Matchings," Journal of Economic Theory, Elsevier, vol. 91(1), pages 91-105, March.
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    Citations

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    Cited by:

    1. Robin S. Lee & Michael Schwarz, 2017. "Interviewing in two-sided matching markets," RAND Journal of Economics, RAND Corporation, vol. 48(3), pages 835-855, August.
    2. repec:eee:jeborg:v:145:y:2018:i:c:p:567-591 is not listed on IDEAS
    3. Wu, Qinggong, 2015. "A finite decentralized marriage market with bilateral search," Journal of Economic Theory, Elsevier, vol. 160(C), pages 216-242.
    4. Alfredo Salgado-Torres, 2012. "A simple decentralized matching mechanism in markets with couples," Economics Bulletin, AccessEcon, vol. 32(3), pages 2044-2055.
    5. Alexey Kushnir, 2009. "Matching Markets with Signals," Working Papers 2009.39, Fondazione Eni Enrico Mattei.
    6. Comola, Margherita & Fafchamps, Marcel, 2018. "An experimental study on decentralized networked markets," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 567-591.
    7. Haeringer, Guillaume & Iehlé, Vincent, 2008. "Enjeux stratégiques du concours des Maîtres de Conférences," MPRA Paper 13002, University Library of Munich, Germany.
    8. B. Evci, 2014. "A new dynamic mechanism to the marriage problem with a variant," Working Papers wp973, Dipartimento Scienze Economiche, Universita' di Bologna.
    9. Romero-Medina, Antonio & Triossi, Matteo, 2014. "Non-revelation mechanisms in many-to-one markets," Games and Economic Behavior, Elsevier, vol. 87(C), pages 624-630.
    10. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," NBER Working Papers 14840, National Bureau of Economic Research, Inc.
    11. Horstschräer, Julia, 2012. "Decentralizing university admission: Evidence from a natural experiment," ZEW Discussion Papers 12-076, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    12. Triossi, Matteo, 2009. "Hiring mechanisms, application costs and stability," Games and Economic Behavior, Elsevier, vol. 66(1), pages 566-575, May.
    13. Pais, Joana, 2008. "Incentives in decentralized random matching markets," Games and Economic Behavior, Elsevier, vol. 64(2), pages 632-649, November.
    14. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2015. "Decentralized matching: The role of commitment," Games and Economic Behavior, Elsevier, vol. 92(C), pages 1-17.
    15. repec:gam:jgames:v:7:y:2016:i:2:p:10:d:66888 is not listed on IDEAS
    16. Heinrich H. Nax & Bary S. R. Pradelski, 2016. "Core Stability and Core Selection in a Decentralized Labor Matching Market," Games, MDPI, Open Access Journal, vol. 7(2), pages 1-16, March.
    17. Joana Pais & Ágnes Pintér & Róbert F. Veszteg, 2017. "Decentralized Matching Markets With(out) Frictions: A Laboratory Experiment," Working Papers REM 2017/03, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.
    18. Alcalde, José, 2017. "Beyond the Spanish MIR with Consent: (Hidden) Cooperation and Coordination in Matching," QM&ET Working Papers 17-1, University of Alicante, D. Quantitative Methods and Economic Theory.

    More about this item

    Keywords

    Two-sided matching ; job market ; subgame perfect equilibrium ; irreversibilities;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts

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