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Bargaining in Stationary Networks

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  • Mihai Manea

Abstract

We study an infinite horizon game in which pairs of players connected in a network are randomly matched to bargain. Players who reach agreement are replaced by new players at the same positions in the network. We show that all equilibria are payoff equivalent. The payoffs and the set of agreement links converge as players become patient. Several new concepts—mutually estranged sets, partners, and shortage ratios—provide insights into the relative strengths of the positions in the network. We develop a procedure to determine the limit equilibrium payoffs for all players. Characterizations of equitable and nondiscriminatory networks are also obtained. (JEL C78, D85)

Suggested Citation

  • Mihai Manea, 2011. "Bargaining in Stationary Networks," American Economic Review, American Economic Association, vol. 101(5), pages 2042-2080, August.
    • Handle: RePEc:aea:aecrev:v:101:y:2011:i:5:p:2042-80
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    References listed on IDEAS

    as
    1. Li Duozhe & Wong Yat Fung, 2009. "Optimism and Bargaining Inefficiency," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-14, April.
    2. 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.
    3. Corominas-Bosch, Margarida, 2004. "Bargaining in a network of buyers and sellers," Journal of Economic Theory, Elsevier, vol. 115(1), pages 35-77, March.
    4. Abreu, Dilip & Manea, Mihai, 2012. "Bargaining and efficiency in networks," Journal of Economic Theory, Elsevier, vol. 147(1), pages 43-70.
    5. Polanski, Arnold, 2007. "Bilateral bargaining in networks," Journal of Economic Theory, Elsevier, vol. 134(1), pages 557-565, May.
    6. K. G. Binmore & M. J. Herrero, 1988. "Matching and Bargaining in Dynamic Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(1), pages 17-31.
    7. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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