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Markov equilibria in a model of bargaining in networks

  • Abreu, Dilip
  • Manea, Mihai

We study the Markov perfect equilibria (MPEs) of an infinite horizon game in which pairs of players connected in a network are randomly matched to bargain. Players who reach agreement are removed from the network without replacement. We establish the existence of MPEs and show that MPE payoffs are not necessarily unique. A method for constructing pure strategy MPEs for high discount factors is developed. For some networks, we find that all MPEs are asymptotically inefficient as players become patient.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 75 (2012)
Issue (Month): 1 ()
Pages: 1-16

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Handle: RePEc:eee:gamebe:v:75:y:2012:i:1:p:1-16
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Matthew O. Jackson & Asher Wolinsky, 1994. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
  3. Mertens, Jean-Francois, 2002. "Stochastic games," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 47, pages 1809-1832 Elsevier.
  4. Arial Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Levine's Working Paper Archive 622, David K. Levine.
  5. Binmore, Ken G & Herrero, M J, 1988. "Matching and Bargaining in Dynamic Markets," Review of Economic Studies, Wiley Blackwell, vol. 55(1), pages 17-31, January.
  6. Mihai Manea, 2011. "Bargaining in Stationary Networks," American Economic Review, American Economic Association, vol. 101(5), pages 2042-80, August.
  7. 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.
  8. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  9. Corominas-Bosch, Margarida, 2004. "Bargaining in a network of buyers and sellers," Journal of Economic Theory, Elsevier, vol. 115(1), pages 35-77, March.
  10. Arial Rubinstein & Asher Wolinsky, 1985. "Equilibrium in a Market with Sequential Bargaining," Levine's Working Paper Archive 623, David K. Levine.
  11. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
  12. Rachel E. Kranton & Deborah F. Minehart, 2001. "A Theory of Buyer-Seller Networks," American Economic Review, American Economic Association, vol. 91(3), pages 485-508, June.
  13. Polanski, Arnold, 2007. "Bilateral bargaining in networks," Journal of Economic Theory, Elsevier, vol. 134(1), pages 557-565, May.
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