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Endogenous Two-Sided Markets with Repeated Transactions

Listed author(s):
  • Polanski Arnold

    ()

    (Queen’s University Belfast)

  • Winter Eyal

    ()

    (The Hebrew University of Jerusalem)

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.

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Article provided by De Gruyter in its journal The B.E. Journal of Theoretical Economics.

Volume (Year): 10 (2010)
Issue (Month): 1 (March)
Pages: 1-27

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Handle: RePEc:bpj:bejtec:v:10:y:2010:i:1:n:11
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  1. Rachel E. Kranton & Deborah F. Minehart, 2000. "Networks versus Vertical Integration," RAND Journal of Economics, The RAND Corporation, vol. 31(3), pages 570-601, Autumn.
  2. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
  3. Arial Rubinstein & Asher Wolinsky, 1985. "Equilibrium in a Market with Sequential Bargaining," Levine's Working Paper Archive 623, David K. Levine.
  4. Goyal, S. & Joshi, S., 1999. "Bilateralism and free trade," Econometric Institute Research Papers EI 9953-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  5. Polanski, Arnold, 2007. "Bilateral bargaining in networks," Journal of Economic Theory, Elsevier, vol. 134(1), pages 557-565, May.
  6. Matthew O. Jackson & Alison Watts, 2000. "On the Formation of Interaction Networks in Social Coordination Games," Econometric Society World Congress 2000 Contributed Papers 0778, Econometric Society.
  7. Douglas Gale, 2010. "Limit theorems for markets with sequential bargaining," Levine's Working Paper Archive 621, David K. Levine.
  8. Hojman, Daniel A. & Szeidl, Adam, 2006. "Endogenous networks, social games, and evolution," Games and Economic Behavior, Elsevier, vol. 55(1), pages 112-130, April.
  9. Arial Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Levine's Working Paper Archive 622, David K. Levine.
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