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Inefficiency in a frictionless market

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  • Chan, Keith Jin Deng

Abstract

Gale and Sabourian (2006) argue that Markov strategies in dynamic matching and bargaining games accommodate non-competitive behavior: with heterogeneous players, outcomes may be inefficient. In this paper, I show that their corroborating example with four players does not comprise a Markov perfect equilibrium (MPE). In fact, I show that all MPEs must be efficient in their setting with only four players. Nevertheless, I construct a continuum of inefficient equilibria in a balanced market with six players. Key to the construction is the dispersion of reservation prices to render inefficient trades individually rational, yet sufficient dynamics of continuation payoffs can be supported only with at least six players. Consequently, inefficiencies are driven by the interplay of heterogeneous valuations and strategic uncertainty from the number of players in the market.

Suggested Citation

  • Chan, Keith Jin Deng, 2025. "Inefficiency in a frictionless market," Games and Economic Behavior, Elsevier, vol. 151(C), pages 59-69.
  • Handle: RePEc:eee:gamebe:v:151:y:2025:i:c:p:59-69
    DOI: 10.1016/j.geb.2025.02.011
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    References listed on IDEAS

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    1. Stephan Lauermann, 2013. "Dynamic Matching and Bargaining Games: A General Approach," American Economic Review, American Economic Association, vol. 103(2), pages 663-689, April.
    2. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
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    4. Elliott, Matt & Nava, Francesco, 2019. "Decentralized bargaining in matching markets: efficient stationary equilibria and the core," LSE Research Online Documents on Economics 87219, London School of Economics and Political Science, LSE Library.
    5. Gale, Douglas & Sabourian, Hamid, 2006. "Markov equilibria in dynamic matching and bargaining games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 336-352, February.
    6. Thành Nguyen, 2015. "Coalitional Bargaining in Networks," Operations Research, INFORMS, vol. 63(3), pages 501-511, June.
    7. Marina Agranov & Matt Elliott, 2021. "Commitment and (in) Efficiency: A Bargaining Experiment," Journal of the European Economic Association, European Economic Association, vol. 19(2), pages 790-838.
    8. Ariel Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 63-78.
    9. Elliott, Matthew L. & Nava, Francesco, 2019. "Decentralized bargaining in matching markets: efficient stationary equilibria and the core," Theoretical Economics, Econometric Society, vol. 14(1), January.
    10. Abreu, Dilip & Manea, Mihai, 2012. "Bargaining and efficiency in networks," Journal of Economic Theory, Elsevier, vol. 147(1), pages 43-70.
    11. Mihai Manea, 2011. "Bargaining in Stationary Networks," American Economic Review, American Economic Association, vol. 101(5), pages 2042-2080, August.
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    Keywords

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

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