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Coevolution of deception and preferences: Darwin and Nash meet Machiavelli

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  • Yuval Heller
  • Erik Mohlin

Abstract

We develop a framework in which individuals' preferences coevolve with their abilities to deceive others about their preferences and intentions. Specifically, individuals are characterised by (i) a level of cognitive sophistication and (ii) a subjective utility function. Increased cognition is costly, but higher-level individuals have the advantage of being able to deceive lower-level opponents about their preferences and intentions in some of the matches. In the remaining matches, the individuals observe each other's preferences. Our main result shows that, essentially, only efficient outcomes can be stable. Moreover, under additional mild assumptions, we show that an efficient outcome is stable if and only if the gain from unilateral deviation is smaller than the effective cost of deception in the environment.

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  • Yuval Heller & Erik Mohlin, 2020. "Coevolution of deception and preferences: Darwin and Nash meet Machiavelli," Papers 2006.15308, arXiv.org.
  • Handle: RePEc:arx:papers:2006.15308
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    1. 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.
    2. Bomze Immanuel M. & Weibull Jorgen W., 1995. "Does Neutral Stability Imply Lyapunov Stability?," Games and Economic Behavior, Elsevier, vol. 11(2), pages 173-192, November.
    3. Bergstrom, Theodore C, 1995. "On the Evolution of Altruistic Ethical Rules for Siblings," American Economic Review, American Economic Association, vol. 85(1), pages 58-81, March.
    4. John Conlisk, 2001. "Costly Predation and the Distribution of Competence," American Economic Review, American Economic Association, vol. 91(3), pages 475-484, June.
    5. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    6. Norman, Thomas W.L., 2012. "Equilibrium selection and the dynamic evolution of preferences," Games and Economic Behavior, Elsevier, vol. 74(1), pages 311-320.
    7. Fershtman, Chaim & Weiss, Yoram, 1998. "Social rewards, externalities and stable preferences," Journal of Public Economics, Elsevier, vol. 70(1), pages 53-73, October.
    8. 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.
    9. 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.
    10. Warneryd, Karl, 1991. "Evolutionary stability in unanimity games with cheap talk," Economics Letters, Elsevier, vol. 36(4), pages 375-378, August.
    11. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
    12. Yuval Heller & Erik Mohlin, 2018. "Observations on Cooperation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(4), pages 2253-2282.
    13. repec:grz:wpaper:2016-02 is not listed on IDEAS
    14. Heller, Yuval, 2015. "Three steps ahead," Theoretical Economics, Econometric Society, vol. 10(1), January.
    15. Karl WÄrneryd, 1998. "Communication, complexity, and evolutionary stability," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 599-609.
    16. Samuelson, Larry, 2001. "Introduction to the Evolution of Preferences," Journal of Economic Theory, Elsevier, vol. 97(2), pages 225-230, April.
    17. Huck, Steffen & Oechssler, Jorg, 1999. "The Indirect Evolutionary Approach to Explaining Fair Allocations," Games and Economic Behavior, Elsevier, vol. 28(1), pages 13-24, July.
    18. Samuelson, Larry, 1991. "Limit evolutionarily stable strategies in two-player, normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 110-128, February.
    19. Friedman, Daniel & Singh, Nirvikar, 2009. "Equilibrium vengeance," Games and Economic Behavior, Elsevier, vol. 66(2), pages 813-829, July.
    20. Burkhard Schipper, 2015. "Strategic teaching and learning in games," Working Papers 151, University of California, Davis, Department of Economics.
    21. Mohlin, Erik, 2012. "Evolution of theories of mind," Games and Economic Behavior, Elsevier, vol. 75(1), pages 299-318.
    22. Bester, Helmut & Guth, Werner, 1998. "Is altruism evolutionarily stable?," Journal of Economic Behavior & Organization, Elsevier, vol. 34(2), pages 193-209, February.
    23. Vincent P. Crawford, 2003. "Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions," American Economic Review, American Economic Association, vol. 93(1), pages 133-149, March.
    24. Sethi, Rajiv & Somanathan, E., 2001. "Preference Evolution and Reciprocity," Journal of Economic Theory, Elsevier, vol. 97(2), pages 273-297, April.
    25. Burkhard C. Schipper, 2022. "Strategic Teaching and Learning in Games," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 321-352, August.
    26. Dimitry Rtischev, 2016. "Evolution of Mindsight and Psychological Commitment among Strategically Interacting Agents," Games, MDPI, vol. 7(3), pages 1-16, September.
    27. Ed Hopkins Jr., 2014. "Competitive Altruism, Mentalizing, and Signaling," American Economic Journal: Microeconomics, American Economic Association, vol. 6(4), pages 272-292, November.
    28. Joel M. Guttman, 2003. "Repeated interaction and the evolution of preferences for reciprocity," Economic Journal, Royal Economic Society, vol. 113(489), pages 631-656, July.
    29. Stahl Dale O., 1993. "Evolution of Smartn Players," Games and Economic Behavior, Elsevier, vol. 5(4), pages 604-617, October.
    30. Abreu, Dilip & Sethi, Rajiv, 2003. "Evolutionary stability in a reputational model of bargaining," Games and Economic Behavior, Elsevier, vol. 44(2), pages 195-216, August.
    31. Florian Gauer & Christoph Kuzmics, 2020. "Cognitive Empathy In Conflict Situations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(4), pages 1659-1678, November.
    32. Tore Ellingsen, 1997. "The Evolution of Bargaining Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 581-602.
    33. Matsui, Akihiko, 1991. "Cheap-talk and cooperation in a society," Journal of Economic Theory, Elsevier, vol. 54(2), pages 245-258, August.
    34. 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.
    35. Werner Güth & Stefan Napel, 2006. "Inequality Aversion in a Variety of Games - An Indirect Evolutionary Analysis," Economic Journal, Royal Economic Society, vol. 116(514), pages 1037-1056, October.
    36. Erik O. Kimbrough & Nikolaus Robalino & Arthur J. Robson, 2013. "The Evolution of 'Theory of Mind': Theory and Experiments," Cowles Foundation Discussion Papers 1908, Cowles Foundation for Research in Economics, Yale University.
    37. Gamba, Astrid, 2013. "Learning and evolution of altruistic preferences in the Centipede Game," Journal of Economic Behavior & Organization, Elsevier, vol. 85(C), pages 112-117.
    38. Heifetz, Aviad & Shannon, Chris & Spiegel, Yossi, 2007. "What to maximize if you must," Journal of Economic Theory, Elsevier, vol. 133(1), pages 31-57, March.
    39. Nikolaus Robalino & Arthur Robson, 2016. "The Evolution of Strategic Sophistication," American Economic Review, American Economic Association, vol. 106(4), pages 1046-1072, April.
    40. 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.
    41. 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.
    42. Sivan Frenkel & Yuval Heller & Roee Teper, 2018. "The Endowment Effect As Blessing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(3), pages 1159-1186, August.
    43. Armin Falk & Ernst Fehr & Urs Fischbacher, 2003. "On the Nature of Fair Behavior," Economic Inquiry, Western Economic Association International, vol. 41(1), pages 20-26, January.
    44. 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.
    45. Kim, Yong-Gwan & Sobel, Joel, 1995. "An Evolutionary Approach to Pre-play Communication," Econometrica, Econometric Society, vol. 63(5), pages 1181-1193, September.
    46. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    47. Wiseman, Thomas & Yilankaya, Okan, 2001. "Cooperation, Secret Handshakes, and Imitation in the Prisoners' Dilemma," Games and Economic Behavior, Elsevier, vol. 37(1), pages 216-242, October.
    48. Dufwenberg, Martin & Guth, Werner, 1999. "Indirect evolution vs. strategic delegation: a comparison of two approaches to explaining economic institutions," European Journal of Political Economy, Elsevier, vol. 15(2), pages 281-295, June.
    49. Gary Charness & David I. Levine, 2007. "Intention and Stochastic Outcomes: An Experimental study," Economic Journal, Royal Economic Society, vol. 117(522), pages 1051-1072, July.
    50. Robson, Arthur J., 2003. "The evolution of rationality and the Red Queen," Journal of Economic Theory, Elsevier, vol. 111(1), pages 1-22, July.
    51. Hofbauer, Josef & Sandholm, William H., 2009. "Stable games and their dynamics," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1665-1693.4, July.
    52. 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.
    53. Cressman, R., 1997. "Local stability of smooth selection dynamics for normal form games," Mathematical Social Sciences, Elsevier, vol. 34(1), pages 1-19, August.
    54. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, April.
    55. Erik Mohlin, 2010. "Internalized social norms in conflicts: an evolutionary approach," Economics of Governance, Springer, vol. 11(2), pages 169-181, April.
    56. Herold, Florian & Kuzmics, Christoph, 2009. "Evolutionary stability of discrimination under observability," Games and Economic Behavior, Elsevier, vol. 67(2), pages 542-551, November.
    57. Camerer, Colin F. & Ho, Teck-Hua & Chong, Juin-Kuan, 2002. "Sophisticated Experience-Weighted Attraction Learning and Strategic Teaching in Repeated Games," Journal of Economic Theory, Elsevier, vol. 104(1), pages 137-188, May.
    58. K. Schlag, 2010. "Cheap Talk and Evolutionary Dynamics," Levine's Working Paper Archive 541, David K. Levine.
    59. Frank, Robert H, 1987. "If Homo Economicus Could Choose His Own Utility Function, Would He Want One with a Conscience?," American Economic Review, American Economic Association, vol. 77(4), pages 593-604, September.
    60. Johan Stennek, 2000. "The survival value of assuming others to be rational," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(2), pages 147-163.
    61. , H., 2010. "Local stability under evolutionary game dynamics," Theoretical Economics, Econometric Society, vol. 5(1), January.
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    2. Yuval Heller & Erik Mohlin, 2018. "Observations on Cooperation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(4), pages 2253-2282.
    3. Alger, Ingela, 2022. "Evolutionarily stable preferences," TSE Working Papers 22-1355, Toulouse School of Economics (TSE), revised Dec 2022.
    4. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    5. Yuval Heller & Eyal Winter, 2020. "Biased-Belief Equilibrium," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 1-40, May.
    6. Sawa, Ryoji, 2021. "A stochastic stability analysis with observation errors in normal form games," Games and Economic Behavior, Elsevier, vol. 129(C), pages 570-589.
    7. Pardo, Oliver, 2017. "A note on “Evolution of Preferences”," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 129-134.
    8. Ennio Bilancini & Leonardo Boncinelli & Alessandro Tampieri, 2021. "Strategy Assortativity and the Evolution of Parochialism," DEM Discussion Paper Series 21-20, Department of Economics at the University of Luxembourg.
    9. Tóbiás, Áron, 2023. "Rational Altruism," Journal of Economic Behavior & Organization, Elsevier, vol. 207(C), pages 50-80.
    10. Ziwei Wang & Jiabin Wu, 2023. "Partner Choice and Morality: Preference Evolution under Stable Matching," Papers 2304.11504, arXiv.org, revised Oct 2023.
    11. Florian Gauer & Christoph Kuzmics, 2020. "Cognitive Empathy In Conflict Situations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(4), pages 1659-1678, November.
    12. Heller, Yuval & Mohlin, Erik, 2015. "Stable Observable Behavior," MPRA Paper 63013, University Library of Munich, Germany.
    13. Sawa, Ryoji, 2021. "A prospect theory Nash bargaining solution and its stochastic stability," Journal of Economic Behavior & Organization, Elsevier, vol. 184(C), pages 692-711.
    14. Vaios Koliofotis, 2021. "Applying evolutionary methods in economics: progress or pitfall?," Journal of Bioeconomics, Springer, vol. 23(2), pages 203-223, July.
    15. Sung-Hoon Park & Jeong-Yoo Kim, 2022. "Evolutionary stability of preferences: altruism, selfishness, and envy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 349-363, February.

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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