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Decentralized matching: The role of commitment

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  • Diamantoudi, Effrosyni
  • Miyagawa, Eiichi
  • Xue, Licun

Abstract

The two-sided matching literature has focused on static and centralized games. However, in many markets, the matching is determined in decentralized fashion and continues to change. This paper considers infinitely-repeated matching games, where firms whose positions become vacant make offers to workers, who then decide which offers to accept and the game continues. We study how the stationary-equilibrium outcome depends on whether players commit to their employment relationships. We show that, without commitment from either side of the market (i.e., each contract expires in a period), the equilibrium matching is stable in all periods. With one-sided commitment (where firms offer tenured jobs) or two-sided commitment, the final matching may be unstable. With one-sided commitment, the final matching may be one where all workers are worse off and all firms are better off than in every stable matching, implying that the workers are made worse off by job protection.

Suggested Citation

  • Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2015. "Decentralized matching: The role of commitment," Games and Economic Behavior, Elsevier, vol. 92(C), pages 1-17.
    • Handle: RePEc:eee:gamebe:v:92:y:2015:i:c:p:1-17
    DOI: 10.1016/j.geb.2015.05.002
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    References listed on IDEAS

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    5. Park, Na Young, 2016. "Domain-specific risk preference and cognitive ability," Economics Letters, Elsevier, vol. 141(C), pages 1-4.
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    8. Wu, Qinggong, 2015. "A finite decentralized marriage market with bilateral search," Journal of Economic Theory, Elsevier, vol. 160(C), pages 216-242.
    9. Sun, Ning & Yang, Zaifu, 2021. "Efficiency, stability, and commitment in senior level job matching markets," Journal of Economic Theory, Elsevier, vol. 194(C).
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    11. 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.

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    More about this item

    Keywords

    Matching; Job protection;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • J44 - Labor and Demographic Economics - - Particular Labor Markets - - - Professional Labor Markets and Occupations
    • J63 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Turnover; Vacancies; Layoffs

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