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Cooperation through Imitation and Exclusion in Networks

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  • Constanza Fosco

    (Universidad Carlos III de Madrid)

  • Friederike Mengel

    (Maastricht University)

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.

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Bibliographic Info

Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2009.37.

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Date of creation: May 2009
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Handle: RePEc:fem:femwpa:2009.37

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Keywords: Game Theory; Cooperation; Imitation Learning; Network Formation;

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References

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Citations

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Cited by:
  1. Nikolas Tsakas, 2013. "Diffusion by Imitation: The Importance of Targeting Agents," 2013 Papers pts99, Job Market Papers.
  2. Waltman, L. & van Eck, N.J.P. & Dekker, R. & Kaymak, U., 2011. "An evolutionary model of price competition among spatially distributed firms," Econometric Institute Research Papers EI 2011-09, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  3. Cui, Zhiwei, 2014. "More neighbors, more efficiency," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 103-115.
  4. Wilson, James & Hill, J. & Kersula, M. & Wilson, C.L. & Whitsel, L. & Yan, L. & Acheson, J. & Chen, Y. & Cleaver, C. & Congdon, C. & Hayden, A. & Hayes, P. & Johnson, T. & Morehead, G. & Steneck, R. &, 2013. "Costly information and the evolution of self-organization in a small, complex economy," Journal of Economic Behavior & Organization, Elsevier, vol. 90(S), pages S76-S93.
  5. 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 & Espinosa Alejos, María Paz & Cobo Reyes, Ramón & Jiménez, Natalia & Ponti, Giovanni, 2006. "Altruism in the (Social) Network," DFAEII Working Papers 2006-04, University of the Basque Country - Department of Foundations of Economic Analysis II.
    • Kovarik, Jaromir & Espinosa Alejos, María Paz & Brañas Garza, Pablo & Jiménez, Natalia & Ponti, Giovanni & Cobo Reyes, Ramón, 2009. "Altruism and Social Integration," IKERLANAK 2009-35, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    • Kovarik, Jaromir & Espinosa Alejos, María Paz & Brañas Garza, Pablo & Jiménez, Natalia & Ponti, Giovanni & Cobo Reyes, Ramón, 2009. "Altruism and Social Integration," DFAEII Working Papers 2009-05, University of the Basque Country - Department of Foundations of Economic Analysis II.
  6. Tsakas, Nikolas, 2012. "Naive learning in social networks: Imitating the most successful neighbor," MPRA Paper 37796, University Library of Munich, Germany.
  7. Daniel Ladley & Ian Wilkinson & Louise Young, 2013. "The Evolution Of Cooperation In Business: Individual Vs. Group Incentives," Discussion Papers in Economics 13/14, Department of Economics, University of Leicester.
  8. Friederike Mengel, 2009. "Conformism and cooperation in a local interaction model," Journal of Evolutionary Economics, Springer, vol. 19(3), pages 397-415, June.
  9. Romero, José Gabriel & Kovarik, Jaromir & Mengel, Friederike, 2012. "Learning in Network Games," IKERLANAK Ikerlanak;2012-66, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.

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