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The impact of lotteries on cooperation in the public goods game

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  • Yang, Ran
  • Chen, Tong
  • Chen, Qiao

Abstract

Lottery tickets have a sustained appeal to people, but the effect of lottery on cooperative behaviors in the public goods game (PGG) is not clear. Here we come up with the lottery reward mechanism to investigate the evolution of cooperation, which considers the individual risk appetite heterogeneity and lottery utility at the same time. Evolutionary results show that cooperators dominate the situation and nearly reach a state of global cooperation with the advent of lottery tickets. The greater the winning rate ( w) or the higher lottery bonus (R), the easier the cooperation will be. Besides, the combination of a moderate value of w and a small value of R can help the organizer who is responsible for the provision of public goods, to achieve the optimal result in stimulating collective donations. Our research not only helps organizers save costs in the provision of public goods, but also helps us understand the role of lotteries in promoting cooperation.

Suggested Citation

  • Yang, Ran & Chen, Tong & Chen, Qiao, 2018. "The impact of lotteries on cooperation in the public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 925-934.
  • Handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:925-934
    DOI: 10.1016/j.physa.2018.08.052
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    as
    1. Prasanna Gai & Nicholas Vause, 2006. "Measuring Investors' Risk Appetite," International Journal of Central Banking, International Journal of Central Banking, vol. 2(1), March.
    2. 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.
    3. Keke Huang & Tao Wang & Yuan Cheng & Xiaoping Zheng, 2015. "Effect of Heterogeneous Investments on the Evolution of Cooperation in Spatial Public Goods Game," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-10, March.
    4. Wang, Zhen & Chen, Tong & Wang, Yongjie, 2017. "Leadership by example promotes the emergence of cooperation in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 101(C), pages 100-105.
    5. Craig E. Landry & Andreas Lange & John A. List & Michael K. Price & Nicholas G. Rupp, 2006. "Toward an Understanding of the Economics of Charity: Evidence from a Field Experiment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(2), pages 747-782.
    6. Peter Kuhn & Peter Kooreman & Adriaan Soetevent & Arie Kapteyn, 2011. "The Effects of Lottery Prizes on Winners and Their Neighbors: Evidence from the Dutch Postcode Lottery," American Economic Review, American Economic Association, vol. 101(5), pages 2226-2247, August.
    7. 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.
    8. Andreas Lange & John A. List & Michael K. Price, 2007. "Using Lotteries To Finance Public Goods: Theory And Experimental Evidence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 901-927, August.
    9. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    10. Rand, David Gertler & Dreber, Anna & Fudenberg, Drew & Ellingson, Tore & Nowak, Martin A., 2009. "Positive Interactions Promote Public Cooperation," Scholarly Articles 3804483, Harvard University Department of Economics.
    11. Xia, Cheng-yi & Ma, Zhi-qin & Wang, Zhen & Wang, Juan, 2012. "Evaluating fitness by integrating the highest payoff within the neighborhood promotes cooperation in social dilemmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6440-6447.
    12. 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.
    13. 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.
    14. Franke, Jörg & Leininger, Wolfgang, 2014. "On the efficient provision of public goods by means of biased lotteries: The two player case," Economics Letters, Elsevier, vol. 125(3), pages 436-439.
    15. Wang, Yongjie & Chen, Tong & Chen, Qiao & Si, Guangrun, 2017. "Emotional decisions in structured populations for the evolution of public cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 475-481.
    16. Wang, Le & Chen, Tong & You, Xinshang & Wang, Yongjie, 2018. "The effect of wealth-based anti-expectation behaviors on public cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 84-93.
    17. Chen, Qiao & Chen, Tong & Wang, Yongjie, 2017. "Publishing the donation list incompletely promotes the emergence of cooperation in public goods game," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 48-56.
    18. Li, Chao & Wang, Li & Sun, Shiwen & Xia, Chengyi, 2018. "Identification of influential spreaders based on classified neighbors in real-world complex networks," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 512-523.
    19. Colasante, Annarita, 2017. "Selection of the distributional rule as an alternative tool to foster cooperation in a Public Good Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 482-492.
    20. Wang, Yongjie & Chen, Tong, 2015. "Heuristics guide cooperative behaviors in public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 439(C), pages 59-65.
    21. Sabrina Teyssier, 2012. "Inequity and risk aversion in sequential public good games," Public Choice, Springer, vol. 151(1), pages 91-119, April.
    22. John Morgan, 2000. "Financing Public Goods by Means of Lotteries," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 761-784.
    23. Mellers, Barbara A. & Chang, Shi-jie, 1994. "Representations of Risk Judgments," Organizational Behavior and Human Decision Processes, Elsevier, vol. 57(2), pages 167-184, February.
    24. 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.
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    5. Jiao, Yuhang & Chen, Tong & Chen, Qiao, 2020. "The impact of expressing willingness to cooperate on cooperation in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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