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Network Formation And Anti-Coordination Games

Author

Listed:
  • Dunia López-Pintado

    () (Universidad de Alicante)

  • Fernando Vega Redondo

    (Instituto Valenciano de Investigaciones Económicas)

  • Sanjeev Goyal

    (Queen Mary, University of London)

  • Yann Bramoulle

    (Université de Toulouse)

Abstract

We study a setting in which individual players choose their partners as well as a mode of behavior in 2 x 2 anti-coordination games -- games where a player's best response is to behave differently than the opponent. We characterize the nature of equilibrium networks as well as study the effects of network structure on individual behavior. Our analysis shows that both the network architecture and the induced behavior are crucially dependent on the value of the cost of forming links. In general, the equilibrium configurations are found to be neither unique nor efficient. This conclusion continues to hold if the population game is embedded in a standard evolutionary model of learning, since all equilibria turn out to be stochastically stable.

Suggested Citation

  • Dunia López-Pintado & Fernando Vega Redondo & Sanjeev Goyal & Yann Bramoulle, 2002. "Network Formation And Anti-Coordination Games," Working Papers. Serie AD 2002-25, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:2002-25
    as

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    References listed on IDEAS

    as
    1. Anderlini, Luca & Ianni, Antonella, 1996. "Path Dependence and Learning from Neighbors," Games and Economic Behavior, Elsevier, vol. 13(2), pages 141-177, April.
    2. Goyal, S. & Vega-Redondo, F., 2000. "Learning, Network Formation and Coordination," Econometric Institute Research Papers EI 9954-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    4. 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.
    5. Samuelson Larry, 1994. "Stochastic Stability in Games with Alternative Best Replies," Journal of Economic Theory, Elsevier, vol. 64(1), pages 35-65, October.
    6. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    7. 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.
    8. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    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.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    4. 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.
    5. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
    6. 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.
    7. repec:spr:compst:v:68:y:2008:i:1:p:1-20 is not listed on IDEAS
    8. 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.
    9. 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.
    10. 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.
    11. 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).
    12. 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.
    13. 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.
    14. 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.
    15. Bramoulle, Yann, 2007. "Anti-coordination and social interactions," Games and Economic Behavior, Elsevier, vol. 58(1), pages 30-49, January.

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