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Elimination of non-individualistic preferences in large population aggregative games

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  • Lahkar, Ratul

Abstract

We study evolution of preferences in large population aggregative games. In such games, all agents in society interact with each other. The material payoff or fitness of agents is entirely individualistic. Subjective payoffs, which represent preferences, depend upon a non-individualistic component which is adjusted through a type-dependent preference parameter. Using the indirect evolutionary approach, we show that the individualistic type enjoys fitness dominance under any type distribution in such games. Hence, under a class of evolutionary dynamics that satisfy monotone percentage growth, all non-individualistic types are eliminated. We apply this analysis to two classes of non-individualistic preferences-altruistic and Kantian. Altruistic preferences put a positive weight on the externality imposed on society while Kantian preferences incorporate the Kantian categorical imperative. In two important economic models, the tragedy of the commons and the public goods game, we show that both these classes of preferences are eliminated.

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  • Lahkar, Ratul, 2019. "Elimination of non-individualistic preferences in large population aggregative games," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 150-165.
  • Handle: RePEc:eee:mateco:v:84:y:2019:i:c:p:150-165
    DOI: 10.1016/j.jmateco.2019.07.013
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    as
    1. Perkins, S. & Leslie, D.S., 2014. "Stochastic fictitious play with continuous action sets," Journal of Economic Theory, Elsevier, vol. 152(C), pages 179-213.
    2. William H. Sandholm, 2001. "Preference Evolution, Two-Speed Dynamics, and Rapid Social Change," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(3), pages 637-679, July.
    3. William H. Sandholm, 2002. "Evolutionary Implementation and Congestion Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 667-689.
    4. Ingela Alger & Jörgen W. Weibull, 2019. "Evolutionary Models of Preference Formation," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 329-354, August.
    5. Ok, Efe A. & Vega-Redondo, Fernando, 2001. "On the Evolution of Individualistic Preferences: An Incomplete Information Scenario," Journal of Economic Theory, Elsevier, vol. 97(2), pages 231-254, April.
    6. Ingela Alger, 2010. "Public Goods Games, Altruism, and Evolution," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(4), pages 789-813, August.
    7. Cheung, Man-Wah, 2014. "Pairwise comparison dynamics for games with continuous strategy space," Journal of Economic Theory, Elsevier, vol. 153(C), pages 344-375.
    8. Efe A. Ok & Levent KoÚkesen, 2000. "Negatively interdependent preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(3), pages 533-558.
    9. Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August.
    10. Ingela Alger & Jörgen W. Weibull, 2013. "Homo Moralis—Preference Evolution Under Incomplete Information and Assortative Matching," Econometrica, Econometric Society, vol. 81(6), pages 2269-2302, November.
    11. Ingela Alger, 2010. "Corrigendum: Public Goods Games, Altruism, and Evolution," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(6), pages 1135-1135, December.
    12. Cheung, Man-Wah & Lahkar, Ratul, 2018. "Nonatomic potential games: the continuous strategy case," Games and Economic Behavior, Elsevier, vol. 108(C), pages 341-362.
    13. Sethi, Rajiv & Somanathan, E., 2001. "Preference Evolution and Reciprocity," Journal of Economic Theory, Elsevier, vol. 97(2), pages 273-297, April.
    14. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-666, May.
    15. Lahkar, Ratul & Mukherjee, Saptarshi, 2019. "Evolutionary implementation in a public goods game," Journal of Economic Theory, Elsevier, vol. 181(C), pages 423-460.
    16. Ely, Jeffrey C. & Yilankaya, Okan, 2001. "Nash Equilibrium and the Evolution of Preferences," Journal of Economic Theory, Elsevier, vol. 97(2), pages 255-272, April.
    17. Eddie Dekel & Jeffrey C. Ely & Okan Yilankaya, 2007. "Evolution of Preferences -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 685-704.
    18. Nachbar, J H, 1990. ""Evolutionary" Selection Dynamics in Games: Convergence and Limit Properties," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(1), pages 59-89.
    19. Kockesen, Levent & Ok, Efe A. & Sethi, Rajiv, 2000. "The Strategic Advantage of Negatively Interdependent Preferences," Journal of Economic Theory, Elsevier, vol. 92(2), pages 274-299, June.
    20. Bester, Helmut & Guth, Werner, 1998. "Is altruism evolutionarily stable?," Journal of Economic Behavior & Organization, Elsevier, vol. 34(2), pages 193-209, February.
    21. Kockesen, Levent & Ok, Efe A. & Sethi, Rajiv, 2000. "Evolution of Interdependent Preferences in Aggregative Games," Games and Economic Behavior, Elsevier, vol. 31(2), pages 303-310, May.
    22. Possajennikov, Alex, 2000. "On the evolutionary stability of altruistic and spiteful preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 42(1), pages 125-129, May.
    23. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.
    24. Alger, Ingela & Weibull, Jörgen W., 2016. "Evolution and Kantian morality," Games and Economic Behavior, Elsevier, vol. 98(C), pages 56-67.
    25. Bolle, Friedel, 2000. "Is altruism evolutionarily stable? And envy and malevolence?: Remarks on Bester and Guth," Journal of Economic Behavior & Organization, Elsevier, vol. 42(1), pages 131-133, May.
    26. Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2007. "The Dynamic Evolution of Preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(2), pages 251-286, August.
    27. Ratul Lahkar, 2017. "Large Population Aggregative Potential Games," Dynamic Games and Applications, Springer, vol. 7(3), pages 443-467, September.
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    Cited by:

    1. Sarvesh Bandhu & Ratul Lahkar, 2022. "A Large Population Approach to Implementing Efficiency with Minimum Inequality," Working Papers 76, Ashoka University, Department of Economics.
    2. Lahkar, Ratul & Mukherjee, Sayan & Roy, Souvik, 2023. "The logit dynamic in supermodular games with a continuum of strategies: A deterministic approximation approach," Games and Economic Behavior, Elsevier, vol. 139(C), pages 133-160.
    3. Ratul Lahkar & Saptarshi Mukherjee, 2022. "Optimal Large Population Tullock Contests," Working Papers 82, Ashoka University, Department of Economics.
    4. Bandhu, Sarvesh & Lahkar, Ratul, 2023. "Survival of altruistic preferences in a large population public goods game," Economics Letters, Elsevier, vol. 226(C).
    5. Eichner, Thomas & Pethig, Rüdiger, 2024. "International environmental agreements when countries behave morally," Journal of Environmental Economics and Management, Elsevier, vol. 125(C).
    6. Luis C. Corchón, 2021. "Aggregative games," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 49-71, March.
    7. Sarvesh Bandhu & Ratul Lahkar, 2021. "Implementation in Large Population Games with Multiple Equilibria," Working Papers 62, Ashoka University, Department of Economics.
    8. Ratul Lahkar & Rezina Sultana, 2023. "Rent dissipation in large population Tullock contests," Public Choice, Springer, vol. 197(1), pages 253-282, October.
    9. Sarvesh Bandhu & Ratul Lahkar, 2023. "Evolutionary robustness of dominant strategy implementation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 685-721, August.

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