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Cooperation through Imitation and Exclusion in Networks

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  • Fosco, Constanza
  • Mengel, Friederike

Abstract

We develop a simple model to study the coevolution of interaction structures and action choices in Prisoners’ Dilemma games. Agents are boundedly rational and choose both actions and interaction partners via payoff-based imitation. The dynamics of imitation and exclusion yields polymorphic outcomes under a wide range of parameters. Depending on the parameters of the model two scenarios can arise. Either there is “full separation” of defectors and cooperators, i.e. they are found in two different, disconnected components. Or there is “marginalization” of defectors, i.e. connected networks emerge with a center of cooperators and a periphery of defectors. Simulations confirm our analytical results and show that the share of cooperators increases with the speed at which the network evolves, increases with the radius of interaction and decreases with the radius of information of agents.

Suggested Citation

  • Fosco, Constanza & Mengel, Friederike, 2009. "Cooperation through Imitation and Exclusion in Networks," Sustainable Development Papers 50723, Fondazione Eni Enrico Mattei (FEEM).
    • Handle: RePEc:ags:feemdp:50723
    DOI: 10.22004/ag.econ.50723
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    as
    1. Vega-Redondo, Fernando, 2006. "Building up social capital in a changing world," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 2305-2338, November.
    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. Edward L. Glaeser & Bruce Sacerdote & José A. Scheinkman, 1996. "Crime and Social Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 507-548.
    4. 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.
    5. Myerson, Roger B. & Pollock, Gregory B. & Swinkels, Jeroen M., 1991. "Viscous population equilibria," Games and Economic Behavior, Elsevier, vol. 3(1), pages 101-109, February.
    6. Stephen Leider & Markus M. Möbius & Tanya Rosenblat & Quoc-Anh Do, 2009. "Directed Altruism and Enforced Reciprocity in Social Networks," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(4), pages 1815-1851.
    7. Duersch, Peter & Oechssler, Jörg & Schipper, Burkhard C., 2012. "Unbeatable imitation," Games and Economic Behavior, Elsevier, vol. 76(1), pages 88-96.
    8. repec:hal:spmain:info:hdl:2441/14otokka698nb83lk2n7bhqbo2 is not listed on IDEAS
    9. 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.
    10. Eshel, I. & Samuelson, L. & Shaked, A., 1996. "Altruists, Egoists and Hooligans in a Local Interaction Model," Working papers 9612r, Wisconsin Madison - Social Systems.
    11. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-956, July.
    12. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406.
    13. 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.
    14. 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.
    15. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096.
    16. Arenas, Alex & Diaz-Guilera, Albert & Perez, Conrad J. & Vega-Redondo, Fernando, 2002. "Self-organized criticality in evolutionary systems with local interaction," Journal of Economic Dynamics and Control, Elsevier, vol. 26(12), pages 2115-2142, October.
    17. Offerman, Theo & Schotter, Andrew, 2009. "Imitation and luck: An experimental study on social sampling," Games and Economic Behavior, Elsevier, vol. 65(2), pages 461-502, March.
    18. Brañas-Garza, Pablo & Cobo-Reyes, Ramón & Espinosa, María Paz & Jiménez, Natalia & Kovárík, Jaromír & Ponti, Giovanni, 2010. "Altruism and social integration," Games and Economic Behavior, Elsevier, vol. 69(2), pages 249-257, July.
    19. 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.
    20. Grimm, Veronika & Mengel, Friederike, 2009. "Cooperation in viscous populations--Experimental evidence," Games and Economic Behavior, Elsevier, vol. 66(1), pages 202-220, May.
    21. Cassar, Alessandra, 2007. "Coordination and cooperation in local, random and small world networks: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 58(2), pages 209-230, February.
    22. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    23. Pingle, Mark & Day, Richard H., 1996. "Modes of economizing behavior: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 29(2), pages 191-209, March.
    24. Kovarik, Jaromir & Jiménez, Natalia & Ponti, Giovanni & Espinosa Alejos, María Paz & Brañas Garza, Pablo & Cobo Reyes, Ramón, 2009. "Altruism and Social Integration," IKERLANAK 2009-35, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    25. 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.
    26. Constanza Fosco & Matteo Marsili & Fernando Vega-Redondo, 2010. "Peer Effects and Peer Avoidance: The Diffusion of Behavior in Coevolving Networks," Journal of the European Economic Association, MIT Press, vol. 8(1), pages 169-202, March.
    27. Brañas-Garza, Pablo & Cobo-Reyes, Ramón & Espinosa, María Paz & Jiménez, Natalia & Kovárík, Jaromír & Ponti, Giovanni, 2010. "Altruism and social integration," Games and Economic Behavior, Elsevier, vol. 69(2), pages 249-257, July.
      • Brañas Garza, Pablo & Cobo Reyes, Ramón & Espinosa Alejos, María Paz & Jiménez, Natalia & Kovarik, Jaromir & Ponti, Giovanni, 2009. "Altruism and Social Integration," IKERLANAK 6414, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
      • Brañas Garza, Pablo & Cobo Reyes, Ramón & Espinosa Alejos, María Paz & Jiménez, Natalia & Kovarik, Jaromir & Ponti, Giovanni, 2009. "Altruism and Social Integration," DFAEII Working Papers 6414, University of the Basque Country - Department of Foundations of Economic Analysis II.
    28. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February.
    29. Hehenkamp, Burkhard & Kaarbøe, Oddvar M., 2003. "Imitators and Optimizers in a Changing Environment," Working Papers in Economics 03/03, University of Bergen, Department of Economics.
    30. Fagiolo, Giorgio, 2005. "Endogenous neighborhood formation in a local coordination model with negative network externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 297-319, January.
    31. Vega-Redondo,Fernando, 2003. "Economics and the Theory of Games," Cambridge Books, Cambridge University Press, number 9780521772518.
    32. Schipper, Burkhard C., 2009. "Imitators and optimizers in Cournot oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1981-1990, December.
    33. Aljaž Ule, 2008. "Partner Choice and Cooperation in Networks," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-73016-3, December.
    34. Jacob K. Goeree & Margaret A. McConnell & Tiffany Mitchell & Tracey Tromp & Leeat Yariv, 2010. "The 1/d Law of Giving," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 183-203, February.
    35. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
    36. 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.
    37. Friederike Mengel, 2009. "Conformism and cooperation in a local interaction model," Journal of Evolutionary Economics, Springer, vol. 19(3), pages 397-415, June.
    38. 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.
    39. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
    40. Kirchkamp, Oliver & Nagel, Rosemarie, 2007. "Naive learning and cooperation in network experiments," Games and Economic Behavior, Elsevier, vol. 58(2), pages 269-292, February.
    41. Hojman, Daniel A. & Szeidl, Adam, 2006. "Endogenous networks, social games, and evolution," Games and Economic Behavior, Elsevier, vol. 55(1), pages 112-130, April.
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    More about this item

    Keywords

    Institutional and Behavioral Economics;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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