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Hiring procedures to implement stable allocations

Author

Listed:
  • José Alcalde Pérez

    (Universidad de Andalucía)

  • Antonio Romero-Medina

    (Universidad Carlos III de Madrid)

  • David Pérez-Castrillo

    (Universidad Autónoma de Barcelona)

Abstract

We implement the core correspondence in Subgame Perfect Equilibrium using a simplesequential mechanism in which firms propose a salary to each worker (in the first stage). Then ,each worker accepts at most one proposal (second stage). Moreover, we show that, if agents'preferences are additive, this mechanism implements in Subgame Perfect Equilibrium that firms'optimal correspondence when firms employ undominated strategies. Finally we construct anothersimple sequential mechanism to implement workers' optimal correspondence when agents'preferences are additive.

Suggested Citation

  • José Alcalde Pérez & Antonio Romero-Medina & David Pérez-Castrillo, 1997. "Hiring procedures to implement stable allocations," Working Papers. Serie AD 1997-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:1997-10
    as

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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1997-10.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. Perez-Castrillo J. David, 1994. "Cooperative Outcomes through Noncooperative Games," Games and Economic Behavior, Elsevier, vol. 7(3), pages 428-440, November.
    3. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    4. 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.
    5. 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.
    6. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
    7. Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 197-218.
    8. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Job matching markets; implementation; mechanism design;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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