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Network formation and anti-coordination games

Author

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  • Yann Bramoullé
  • Dunia López-Pintado

    ()

  • Sanjeev Goyal
  • Fernando Vega-Redondo

Abstract

We study a setting in which individual players choose their partners as well as a mode of behavior in 2×2 anti-coordination games – games where a player’s best response is to choose an action unlike that of her partner. We characterize the equilibrium networks as well as study the effects of network structure on individual behavior. Our analysis shows that both network architecture and induced behavior crucially depend on the value of the cost of forming links. In general, equilibrium configurations are found to be neither unique nor efficient. Copyright Springer-Verlag 2004

Suggested Citation

  • Yann Bramoullé & Dunia López-Pintado & Sanjeev Goyal & Fernando Vega-Redondo, 2004. "Network formation and anti-coordination games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 1-19, January.
  • Handle: RePEc:spr:jogath:v:33:y:2004:i:1:p:1-19
    DOI: 10.1007/s001820400178
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    References listed on IDEAS

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    1. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    2. Stef Tijs & Anne van den Nouweland & Bhaskar Dutta, 1998. "Link formation in cooperative situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 245-256.
    3. Sanjeev Goyal & Fernando Vega-Redondo, 2000. "Learning, Network Formation and Coordination," Tinbergen Institute Discussion Papers 00-093/1, Tinbergen Institute.
    4. Jackson, Matthew O. & Watts, Alison, 2002. "On the formation of interaction networks in social coordination games," Games and Economic Behavior, Elsevier, vol. 41(2), pages 265-291, November.
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    7. Anderlini, Luca & Ianni, Antonella, 1996. "Path Dependence and Learning from Neighbors," Games and Economic Behavior, Elsevier, vol. 13(2), pages 141-177, April.
    8. Samuelson Larry, 1994. "Stochastic Stability in Games with Alternative Best Replies," Journal of Economic Theory, Elsevier, vol. 64(1), pages 35-65, October.
    9. 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.
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    Citations

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    Cited by:

    1. Rong, Rong & Houser, Daniel, 2015. "Growing stars: A laboratory analysis of network formation," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 380-394.
    2. repec:wsi:igtrxx:v:11:y:2009:i:01:n:s0219198909002145 is not listed on IDEAS
    3. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
    4. Bramoulle, Yann, 2007. "Anti-coordination and social interactions," Games and Economic Behavior, Elsevier, vol. 58(1), pages 30-49, January.
    5. Siegfried Berninghaus & Stephan Schosser & Bodo Vogt, 2013. "Equilibrium Selection under Limited Control - An Experimental Study of the Network Hawk-Dove Game," Jena Economic Research Papers 2013-048, Friedrich-Schiller-University Jena.
    6. Miguel A. Meléndez-Jiménez, 2007. "A Bargaining Approach To Coordination In Networks," Working Papers. Serie AD 2007-28, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    7. Justo Puerto & Anita Schöbel & Silvia Schwarze, 2008. "The path player game," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(1), pages 1-20, August.
    8. Siegfried Berninghaus & Stephan Schosser & Bodo Vogt, 2011. "Complexity of Networking - An Experimental Study of the Network Hawk Dove Game," FEMM Working Papers 110024, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    9. Berninghaus, Siegfried K. & Ehrhart, Karl-Martin & Ott, Marion, 2008. "Myopically Forward-Looking Agents in a Network Formation Game: Theory and Experimental Evidence," Sonderforschungsbereich 504 Publications 08-02, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    10. Zsolt Katona & Miklos Sarvary, 2008. "Network Formation and the Structure of the Commercial World Wide Web," Marketing Science, INFORMS, vol. 27(5), pages 764-778, 09-10.
    11. Michel Grabisch & Alexis Poindron & Agnieszka Rusinowka, 2017. "A model of anonymous influence with anti-conformist agents," Documents de travail du Centre d'Economie de la Sorbonne 17047, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    12. Siegfried Berninghaus & Stephan Schosser & Bodo Vogt, 2015. "Myopic behavior and overall utility maximization - A study of linked hawks and doves -," FEMM Working Papers 150014, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    13. Berninghaus, Siegfried & Ehrhart, Karl-Martin & Ott, Marion, 2008. "Myopically forward-looking agents in a network formation game : theory and experimental evidence," Papers 08-02, Sonderforschungsbreich 504.
    14. Berninghaus, Siegfried K. & Ehrhart, Karl-Martin & Ott, Marion, 2012. "Forward-looking behavior in Hawk–Dove games in endogenous networks: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 75(1), pages 35-52.
    15. Filippo Vergara Caffarelli, 2009. "Networks with decreasing returns to linking," Temi di discussione (Economic working papers) 734, Bank of Italy, Economic Research and International Relations Area.
    16. repec:spr:compst:v:68:y:2008:i:1:p:1-20 is not listed on IDEAS

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    Keywords

    networks; links; anti-coordination games; efficiency;

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