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Endogenous Two-Sided Markets with Repeated Transactions

Author

Listed:
  • Polanski Arnold

    (Queen’s University Belfast, A.Polanski@uea.ac.uk)

  • Winter Eyal

    (The Hebrew University of Jerusalem, mseyal@pluto.huji.ac.il)

Abstract

We consider homogeneous two-sided markets, in which connected buyer-seller pairs bargain and trade repeatedly. In this infinite market game with exogenous matching probabilities and a common discount factor, we prove the existence of equilibria in stationary strategies. The equilibrium payoffs are given implicitly as a solution to a system of linear equations. Then, we endogenize the matching mechanism in a link formation stage that precedes the market game. When agents are sufficiently patient and link costs are low, we provide an algorithm to construct minimally connected networks that are pairwise stable with respect to the expected payoffs in the trading stage. The constructed networks are essentially efficient and consist of components with a constant buyer-seller ratio. The latter ratio increases (decreases) for a buyer (seller) that deletes one of her links in a pairwise stable component.

Suggested Citation

  • Polanski Arnold & Winter Eyal, 2010. "Endogenous Two-Sided Markets with Repeated Transactions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-27, March.
    • Handle: RePEc:bpj:bejtec:v:10:y:2010:i:1:n:11
    DOI: 10.2202/1935-1704.1632
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    References listed on IDEAS

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    Cited by:

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    2. Giebe, Thomas & Schweinzer, Paul, 2014. "Consuming your way to efficiency: Public goods provision through non-distortionary tax lotteries," European Journal of Political Economy, Elsevier, vol. 36(C), pages 1-12.
    3. Nava, Francesco, 2015. "Efficiency in decentralized oligopolistic markets," Journal of Economic Theory, Elsevier, vol. 157(C), pages 315-348.
    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. Abreu, Dilip & Manea, Mihai, 2012. "Markov equilibria in a model of bargaining in networks," Games and Economic Behavior, Elsevier, vol. 75(1), pages 1-16.
    6. Agranov, M. & Elliott, M., 2017. "Commitment and (In)Efficiency: A Bargaining Experiment," Cambridge Working Papers in Economics 1743, Faculty of Economics, University of Cambridge.
    7. Elliott, M. & Nava, F., 2017. "Decentralized Bargaining in Matching Markets: Efficient Stationary Equilibria and the Core," Cambridge Working Papers in Economics 1742, Faculty of Economics, University of Cambridge.
    8. Bayati, Mohsen & Borgs, Christian & Chayes, Jennifer & Kanoria, Yash & Montanari, Andrea, 2015. "Bargaining dynamics in exchange networks," Journal of Economic Theory, Elsevier, vol. 156(C), pages 417-454.

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