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Strategic formation of homogeneous bargaining networks

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  • Gauer, F.
  • Hellmann, T.

Abstract

We study a model of strategic network formation prior to a Manea (2011a) bargaining game: ex ante homogeneous players form costly undirected links, anticipating expected equilibrium payoffs from the subsequent bargaining game. Assuming patient players, we provide a complete characterization of generically pairwise stable networks: specific unions of separated pairs, odd circles, and isolated players constitute this class. We also show that many other structures, such as larger trees or unbalanced bipartite networks, cannot be pairwise stable at all. The analysis implies that the diversity of possible bargaining outcomes is small in (generically) pairwise stable networks.

Suggested Citation

  • Gauer, F. & Hellmann, T., 2017. "Strategic formation of homogeneous bargaining networks," Games and Economic Behavior, Elsevier, vol. 106(C), pages 51-74.
    • Handle: RePEc:eee:gamebe:v:106:y:2017:i:c:p:51-74
    DOI: 10.1016/j.geb.2017.09.011
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    3. 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.
    4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    5. Corominas-Bosch, Margarida, 2004. "Bargaining in a network of buyers and sellers," Journal of Economic Theory, Elsevier, vol. 115(1), pages 35-77, March.
    6. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    7. ,, 2015. "Social activity and network formation," Theoretical Economics, Econometric Society, vol. 10(2), May.
    8. Hellmann, Tim & Landwehr, Jakob, 2014. "Stable Networks in Homogeneous Societies," Center for Mathematical Economics Working Papers 517, Center for Mathematical Economics, Bielefeld University.
    9. Abreu, Dilip & Manea, Mihai, 2012. "Bargaining and efficiency in networks," Journal of Economic Theory, Elsevier, vol. 147(1), pages 43-70.
    10. Mihai Manea, 2011. "Bargaining in Stationary Networks," American Economic Review, American Economic Association, vol. 101(5), pages 2042-2080, August.
    11. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    12. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    13. Arnold Polanski & Fernando Vega-Redondo, 2013. "Markets, Bargaining, and Networks with Heterogeneous Agents," University of East Anglia Applied and Financial Economics Working Paper Series 038, School of Economics, University of East Anglia, Norwich, UK..
    14. 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.
    15. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    16. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
    17. Condorelli, Daniele & Galeotti, Andrea, 2012. "Endogenous Trading Networks," Economics Discussion Papers 2871, University of Essex, Department of Economics.
    18. Sanjeev Goyal & Sumit Joshi, 2006. "Bilateralism And Free Trade," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 749-778, August.
    19. Tim Hellmann, 2013. "On the existence and uniqueness of pairwise stable networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 211-237, February.
    20. Calvo-Armengol, Antoni, 2004. "Job contact networks," Journal of Economic Theory, Elsevier, vol. 115(1), pages 191-206, March.
    21. 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.
    22. Matthew Elliott, 2015. "Inefficiencies in Networked Markets," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 43-82, November.
    23. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
    24. Polanski, Arnold, 2007. "Bilateral bargaining in networks," Journal of Economic Theory, Elsevier, vol. 134(1), pages 557-565, May.
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    More about this item

    Keywords

    Bargaining; Network formation; Noncooperative games;
    All these keywords.

    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
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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