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Random decentralized market processes for stable job matchings with competitive salaries

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  • Chen, Bo
  • Fujishige, Satoru
  • Yang, Zaifu

Abstract

We analyze a decentralized process in a basic labor market where finitely many heterogeneous firms and workers meet directly and randomly in pursuit of higher payoffs over time and agents may behave myopically. We find a general random decentralized market process that almost surely converges in finite time to a competitive equilibrium of the market. A key proposition en route to this result exhibits a finite sequence of successive bilateral trades from an arbitrary initial market state to a stable matching between firms and workers with a scheme of competitive salary offers.

Suggested Citation

  • Chen, Bo & Fujishige, Satoru & Yang, Zaifu, 2016. "Random decentralized market processes for stable job matchings with competitive salaries," Journal of Economic Theory, Elsevier, vol. 165(C), pages 25-36.
    • Handle: RePEc:eee:jetheo:v:165:y:2016:i:c:p:25-36
    DOI: 10.1016/j.jet.2016.04.003
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    References listed on IDEAS

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    Cited by:

    1. Satoru Fujishige & Zaifu Yang, 2019. "Markovian Core, Indivisibility, and Successive Pareto-Improvements," Discussion Papers 19/11, Department of Economics, University of York.
    2. Bary S. R. Pradelski & Heinrich H. Nax, 2020. "Market sentiments and convergence dynamics in decentralized assignment economies," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 275-298, March.
    3. Bando, Keisuke & Kawasaki, Ryo, 2021. "Stability properties of the core in a generalized assignment problem," Games and Economic Behavior, Elsevier, vol. 130(C), pages 211-223.
    4. Newton, Jonathan, 2017. "Shared intentions: The evolution of collaboration," Games and Economic Behavior, Elsevier, vol. 104(C), pages 517-534.
    5. Herings, P. Jean-Jacques & Kóczy, László Á., 2021. "The equivalence of the minimal dominant set and the myopic stable set for coalition function form games," Games and Economic Behavior, Elsevier, vol. 127(C), pages 67-79.
    6. Ágnes Cseh & Martin Skutella, 2019. "Paths to stable allocations," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 835-862, September.
    7. Satoru Fujishige & Zaifu Yang, 2022. "Barter markets, indivisibilities, and Markovian core," Bulletin of Economic Research, Wiley Blackwell, vol. 74(1), pages 39-48, January.
    8. Jinpeng Ma & Qiongling Li, 2016. "Convergence of price processes under two dynamic double auctions," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 1-44, December.
    9. Esteban Peralta, 2022. "Local stability constraints," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 273-281, October.
    10. Satoru Fujishige & Zaifu Yang, 2017. "On a spontaneous decentralized market process," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 2(1), pages 1-37, December.
    11. Agnes Cseh & Martin Skutella, 2018. "Paths to stable allocations," CERS-IE WORKING PAPERS 1820, Institute of Economics, Centre for Economic and Regional Studies.
    12. Bilancini, Ennio & Boncinelli, Leonardo & Newton, Jonathan, 2020. "Evolution and Rawlsian social choice in matching," Games and Economic Behavior, Elsevier, vol. 123(C), pages 68-80.
    13. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    14. Tuan Q. Phan & David Godes, 2018. "The Evolution of Influence Through Endogenous Link Formation," Marketing Science, INFORMS, vol. 37(2), pages 259-278, March.

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    More about this item

    Keywords

    Decentralized market; Job matching; Random path; Competitive salary; Stability;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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