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Conformism and Cooperation in a Local Interaction Model

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  • Mengel, Friederike

Abstract

We present and analyze a local interaction model where agents play a bilateral prisoner's dilemma game with their neighbors. Agents learn about behavior through payoff-biased imitation of their interaction neighbors (and possibly some agents beyond this set). We find that the [Eshel, I., L. Samuelson and A. Shaked, 1998, Altruists, Egoists and Hooligans in a Local Interaction Model, Am. Econ. Rev 88] result that polymorphic states are stochastically stable in such a setting is not robust. In particular whenever agents use information also of some agents beyond their interaction neighbors the unique stable outcome is one where everyone chooses defection. Introducing a sufficiently strong conformist bias into the imitation process we find that full cooperation always emerges. Conformism is thus identified as a new mechanism that can stabilize cooperation.

Suggested Citation

  • Mengel, Friederike, 2007. "Conformism and Cooperation in a Local Interaction Model," MPRA Paper 4051, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:4051
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    1. Levine, David K. & Pesendorfer, Wolfgang, 2007. "The evolution of cooperation through imitation," Games and Economic Behavior, Elsevier, vol. 58(2), pages 293-315, February.
    2. Apesteguia, Jose & Huck, Steffen & Oechssler, Jorg, 2007. "Imitation--theory and experimental evidence," Journal of Economic Theory, Elsevier, vol. 136(1), pages 217-235, September.
    3. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    4. Sanjeev Goyal, 2007. "Introduction to Connections: An Introduction to the Economics of Networks," Introductory Chapters, in: Connections: An Introduction to the Economics of Networks, Princeton University Press.
    5. Fosco, Constanza & Mengel, Friederike, 2011. "Cooperation through imitation and exclusion in networks," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 641-658, May.
    6. 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.
    7. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    8. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    9. Basci, Erdem, 1999. "Learning by imitation," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1569-1585, September.
    10. Fernando Vega-Redondo & Matteo Marsili & Frantisek Slanina, 2005. "Clustering, Cooperation, and Search in Social Networks," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 628-638, 04/05.
    11. Ellison, Glenn & Fudenberg, Drew, 1993. "Rules of Thumb for Social Learning," Journal of Political Economy, University of Chicago Press, vol. 101(4), pages 612-643, August.
    12. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
    13. Kirchkamp, Oliver & Nagel, Rosemarie, 2007. "Naive learning and cooperation in network experiments," Games and Economic Behavior, Elsevier, vol. 58(2), pages 269-292, February.
    14. Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 17-45.
    15. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    16. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 218-244.
    17. Ilan Eshel & Larry Samuelson & Avner Shaked, "undated". "Altruists Egoists and Hooligans in a Local Interaction Model," ELSE working papers 005, ESRC Centre on Economics Learning and Social Evolution.
    18. Eshel, Ilan & Samuelson, Larry & Shaked, Avner, 1998. "Altruists, Egoists, and Hooligans in a Local Interaction Model," American Economic Review, American Economic Association, vol. 88(1), pages 157-179, March.
    19. Nobuyuki Hanaki & Alexander Peterhansl & Peter S. Dodds & Duncan J. Watts, 2007. "Cooperation in Evolving Social Networks," Management Science, INFORMS, vol. 53(7), pages 1036-1050, July.
    20. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, April.
    21. Edward Cartwright, 2007. "Imitation, coordination and the emergence of Nash equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 119-135, September.
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    Cited by:

    1. Ge Jiang & Simon Weidenholzer, 2017. "Local interactions under switching costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(3), pages 571-588, October.
    2. Elsner, Wolfram & Schwardt, Henning, 2012. "Trust and Arena Size. Expectations, Trust, and Institutions Co-Evolving, and Their Critical Population and Group Sizes," MPRA Paper 40393, University Library of Munich, Germany.
    3. Fosco, Constanza & Mengel, Friederike, 2011. "Cooperation through imitation and exclusion in networks," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 641-658, May.
    4. Boyer, Tristan & Jonard, Nicolas, 2014. "Imitation and efficient contagion," Journal of Economic Behavior & Organization, Elsevier, vol. 100(C), pages 20-32.
    5. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2014. "Imitation and the role of information in overcoming coordination failures," Games and Economic Behavior, Elsevier, vol. 87(C), pages 397-411.
    6. Abhimanyu Khan, 2014. "Coordination under global random interaction and local imitation," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 721-745, November.
    7. Grajzl, Peter & Baniak, Andrzej, 2012. "Mandating behavioral conformity in social groups with conformist members," Journal of Economic Behavior & Organization, Elsevier, vol. 82(2), pages 479-493.
    8. Ludo Waltman & Nees Eck & Rommert Dekker & Uzay Kaymak, 2013. "An Evolutionary Model of Price Competition Among Spatially Distributed Firms," Computational Economics, Springer;Society for Computational Economics, vol. 42(4), pages 373-391, December.
    9. Hedlund Jonas, 2012. "Altruism and Local Interaction," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-27, June.
    10. V. Masson, 2015. "Information, interaction and memory," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 1015-1032, November.
    11. Fabian Bopp & Wendelin Schnedler & Radovan Vadovic, 2023. "Conformism of the Minorities: Theory and Experiment," Working Papers Dissertations 108, Paderborn University, Faculty of Business Administration and Economics.
    12. Oded Stark & Doris Behrens, 2011. "In search of an evolutionary edge: trading with a few, more, or many," Journal of Evolutionary Economics, Springer, vol. 21(5), pages 721-736, December.
    13. Ozgur Aydogmus & Hasan Cagatay & Erkan Gürpinar, 2020. "Does social learning promote cooperation in social dilemmas?," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 15(3), pages 633-648, July.
    14. Herings, P. Jean-Jacques & Peeters, Ronald & Tenev, Anastas P. & Thuijsman, Frank, 2021. "Naïve imitation and partial cooperation in a local public goods model," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 162-185.
    15. Edward J. Cartwright, 2014. "Imitation And Coordination In Small‐World Networks," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 21(2), pages 71-90, April.
    16. repec:ipg:wpaper:2014-052 is not listed on IDEAS
    17. Amparo Urbano, 2011. "SEA Presidential address: Group connectivity and cooperation," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(2), pages 139-158, June.
    18. Jiang, Xue & Li, Sai-Ping & Mai, Yong & Tian, Tao, 2022. "Study of multinational currency co-movement and exchange rate stability base on network game," Finance Research Letters, Elsevier, vol. 47(PA).
    19. Jiang, Ge & Weidenholzer, Simon, 2016. "Local Interactions under Switching Costs," Economics Discussion Papers 17770, University of Essex, Department of Economics.
    20. Jonas Hedlund, 2015. "Imitation in Cournot oligopolies with multiple markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 567-587, November.

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    More about this item

    Keywords

    Cooperation; Imitation; Local Interaction; Conformism;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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