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Heterogeneity in the resistance to learning

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  • Haydée Lugo

Abstract

In this paper we analyze the effect of heterogeneity in the recently introduced “resistance to learning” (Jiménez et al. in Eur Phys J B 71:273–280, 2009a ). In the context of the spatial Continuous Prisoner’s Dilemma, the resistance to learning has become a key mechanism for the emergence and maintenance of cooperation in a wide range of cost regimes. We extend the model to the case in which different individuals may have different levels of resistance. From non-cooperative initial states, the existence of heterogeneity in the resistance affects the cooperative behavior of unconditional imitators. These unconditional imitators, i.e., fast learners or individuals without resistance can achieve due to their interactions with gradual learners significant levels of cooperation. Our results confirm in one of its form the impact of heterogeneity and its role as a fundamental mechanism in promoting the emergence of cooperation. Copyright Springer-Verlag 2013

Suggested Citation

  • Haydée Lugo, 2013. "Heterogeneity in the resistance to learning," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 8(2), pages 267-276, October.
    • Handle: RePEc:spr:jeicoo:v:8:y:2013:i:2:p:267-276
    DOI: 10.1007/s11403-012-0094-5
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    References listed on IDEAS

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    1. A. Szolnoki & M. Perc & G. Szabó, 2008. "Diversity of reproduction rate supports cooperation in the prisoner's dilemma game on complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 505-509, February.
    2. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    3. R. Jiménez & H. Lugo & M. San Miguel, 2009. "Gradual learning and the evolution of cooperation in the spatial Continuous Prisoner’s Dilemma," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(2), pages 273-280, September.
    4. Selten, Reinhard & Apesteguia, Jose, 2005. "Experimentally observed imitation and cooperation in price competition on the circle," Games and Economic Behavior, Elsevier, vol. 51(1), pages 171-192, April.
    5. Haydée Lugo & Raúl Jiménez, 2006. "Incentives to Cooperate in Network Formation," Computational Economics, Springer;Society for Computational Economics, vol. 28(1), pages 15-27, August.
    6. Gilbert Roberts & Thomas N. Sherratt, 1998. "Development of cooperative relationships through increasing investment," Nature, Nature, vol. 394(6689), pages 175-179, July.
    7. Raúl Jiménez & José Cuesta & Haydée Lugo & Angel Sánchez, 2009. "The shared reward dilemma on structured populations," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 4(2), pages 183-193, November.
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