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Imitating winner or sympathizing loser? Quadratic effects on cooperative behavior in prisoners’ dilemma games

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  • Lu, Peng

Abstract

Cooperation is vital in human societies and therefore is widely investigated in the evolutionary game theory. Varieties of mechanisms have been proposed to overcome temptation and promote cooperation. Existing studies usually believe that agents are rational, but irrationalism such as emotions and feelings matters as well. Winner and loser are defined by their payoffs. In addition to admiring and imitating winners, the mechanism of sympathizing and imitating losers is introduced into the model as an alternative action rule, and each one plays the prisoners’ dilemma game with eight neighbors under the influence of both irrationalism and rationalism. Rationalism refers to imitating winner to get highest payoff, and irrationalism means that people sympathize and adopt the actions of losers. As it is widely recognized that temptation reduces cooperation, this study focuses on the effect of sympathy on cooperation within a certain group or society. If it overcomes temptation that leads to defection, sympathy will be a powerful mechanism to promote cooperative behavior. Simulation results indicate that sympathy and temptation shares similar quadratic relationships with cooperation. Both sympathy and temptation undermine cooperation below their thresholds, and they both promote cooperation above their thresholds. Temptation not only reduces cooperation but also promote it as temptation goes beyond the threshold. Although sympathy is a good merit or human nature that is beneficial to society, a crisis or collapse of cooperation is inevitable when the sympathy propensity is relatively smaller. After cooperation reaches a minimal bottom, it then rises increasingly and dramatically, which brings a much brighter future of the society.

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  • Lu, Peng, 2015. "Imitating winner or sympathizing loser? Quadratic effects on cooperative behavior in prisoners’ dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 327-337.
  • Handle: RePEc:eee:phsmap:v:436:y:2015:i:c:p:327-337
    DOI: 10.1016/j.physa.2015.05.029
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    as
    1. Zhen Wang & Lin Wang & Zi-Yu Yin & Cheng-Yi Xia, 2012. "Inferring Reputation Promotes the Evolution of Cooperation in Spatial Social Dilemma Games," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-9, July.
    2. Wu, Te & Fu, Feng & Dou, Puxuan & Wang, Long, 2014. "Social influence promotes cooperation in the public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 86-93.
    3. Choi, Jung-Kyoo & Ahn, T.K., 2013. "Strategic reward and altruistic punishment support cooperation in a public goods game experiment," Journal of Economic Psychology, Elsevier, vol. 35(C), pages 17-30.
    4. Cao, Xian-Bin & Du, Wen-Bo & Rong, Zhi-Hai, 2010. "The evolutionary public goods game on scale-free networks with heterogeneous investment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1273-1280.
    5. Charness, Gary & Cobo-Reyes, Ramón & Jiménez, Natalia, 2014. "Identities, selection, and contributions in a public-goods game," Games and Economic Behavior, Elsevier, vol. 87(C), pages 322-338.
    6. Shi, Dong-Mei & Zhuang, Yong & Wang, Bing-Hong, 2012. "Effect of the depreciation of public goods in spatial public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1636-1641.
    7. Gao, Jia & Li, Zhi & Cong, Rui & Wang, Long, 2012. "Tolerance-based punishment in continuous public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(16), pages 4111-4120.
    8. Zhang, Haifeng & Yang, Hanxin & Du, Wenbo & Wang, Binghong & Cao, Xianbin, 2010. "Evolutionary public goods games on scale-free networks with unequal payoff allocation mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(5), pages 1099-1104.
    9. Rachel T. A. Croson, 2007. "Theories Of Commitment, Altruism And Reciprocity: Evidence From Linear Public Goods Games," Economic Inquiry, Western Economic Association International, vol. 45(2), pages 199-216, April.
    10. Zhang, Haifeng & Shi, Dongmei & Liu, Runran & Wang, Binghong, 2012. "Dynamic allocation of investments promotes cooperation in spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2617-2622.
    11. Shi, Dong-Mei & Yang, Han-Xin & Hu, Mao-Bin & Du, Wen-Bo & Wang, Bing-Hong & Cao, Xian-Bin, 2009. "Preferential selection promotes cooperation in a spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4646-4650.
    12. Rezaei, Golriz & Kirley, Michael, 2012. "Dynamic social networks facilitate cooperation in the N-player Prisoner’s Dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6199-6211.
    13. Li, Ming & Jia, Chun-Xiao & Liu, Run-Ran & Wang, Bing-Hong, 2013. "Emergence of cooperation in spatial public goods game with conditional participation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1840-1847.
    14. Damon M. Centola, 2013. "Homophily, networks, and critical mass: Solving the start-up problem in large group collective action," Rationality and Society, , vol. 25(1), pages 3-40, February.
    15. Zhang, Gui-Qing & Sun, Qi-Bo & Wang, Lin, 2013. "Noise-induced enhancement of network reciprocity in social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 51(C), pages 31-35.
    16. Zhang, Hai-Feng & Jin, Zhen & Wang, Zhen, 2014. "Cooperation and popularity in spatial games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 86-94.
    17. Anderson, Simon P. & Goeree, Jacob K. & Holt, Charles A., 1998. "A theoretical analysis of altruism and decision error in public goods games," Journal of Public Economics, Elsevier, vol. 70(2), pages 297-323, November.
    18. Francisco C. Santos & Marta D. Santos & Jorge M. Pacheco, 2008. "Social diversity promotes the emergence of cooperation in public goods games," Nature, Nature, vol. 454(7201), pages 213-216, July.
    19. Yang, Zhihu & Li, Zhi & Wu, Te & Wang, Long, 2013. "Role of recommendation in spatial public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2038-2045.
    20. Zhu, Cheng-jie & Sun, Shi-wen & Wang, Li & Ding, Shuai & Wang, Juan & Xia, Cheng-yi, 2014. "Promotion of cooperation due to diversity of players in the spatial public goods game with increasing neighborhood size," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 145-154.
    21. Teng, Xian & Yan, Shu & Tang, Shaoting & Pei, Sen & Li, Weihua & Zheng, Zhiming, 2014. "Individual behavior and social wealth in the spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 141-149.
    22. D. Peng & H.-X. Yang & W.-X. Wang & G. R. Chen & B.-H. Wang, 2010. "Promotion of cooperation induced by nonuniform payoff allocation in spatial public goods game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 73(3), pages 455-459, February.
    23. Wang, Xiaofeng & Chen, Xiaojie & Gao, Jia & Wang, Long, 2013. "Reputation-based mutual selection rule promotes cooperation in spatial threshold public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 181-187.
    24. McIntosh, Craig & Sadoulet, Elisabeth & Buck, Steven & Rosada, Tomas, 2013. "Reputation in a public goods game: Taking the design of credit bureaus to the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 95(C), pages 270-285.
    25. Jing, Lin & Cheo, Roland, 2013. "House money effects, risk preferences and the public goods game," Economics Letters, Elsevier, vol. 120(2), pages 310-313.
    26. Rivas, M. Fernanda & Sutter, Matthias, 2011. "The benefits of voluntary leadership in experimental public goods games," Economics Letters, Elsevier, vol. 112(2), pages 176-178, August.
    27. Li, Jing & Wu, Te & Zeng, Gang & Wang, Long, 2012. "Selective investment promotes cooperation in public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 3924-3929.
    28. Bolton, Gary E. & Katok, Elena & Ockenfels, Axel, 2005. "Cooperation among strangers with limited information about reputation," Journal of Public Economics, Elsevier, vol. 89(8), pages 1457-1468, August.
    29. Hai-hua Hu & Wen-tian Cui & Jun Lin & Yan-jun Qian, 2014. "ICTs, Social Connectivity, and Collective Action: A Cultural-Political Perspective," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 17(2), pages 1-7.
    30. DavidP. Myatt & Chris Wallace, 2009. "Evolution, Teamwork and Collective Action: Production Targets in the Private Provision of Public Goods," Economic Journal, Royal Economic Society, vol. 119(534), pages 61-90, January.
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