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Dynamically Stable Preferences

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  • Thomas Norman

Abstract

This paper models the indirect evolution of the preferences of a population of fully rational agents repeatedly matched to play a symmetric 2 x 2 game in biological fitnesses. Each agent is biased in favor of one of the strategies, and receives a noisy signal of his and his opponent`s bias. With sufficiently accurate signals, the resulting global game selects a unique outcome, allowing preference biases to be shaped by the replicator dynamics. Stability analysis in this setting requires the extension of recent techniques for evolution on infinite strategy spaces, introducing new setwise stability concepts. In coordination games, the interval of preference biases supporting the Pareto-dominant equilibrium is Lyapunov stable and weakly attracting, by virtue of constituting a strongly uninvadable set. In Prisoners` Dilemmas that satisfy Kandori and Rob`s (Games and Economic Behavior 22, 1998, 30-60) marginal bandwagon property, meanwhile, an interval of biases supporting efficient cooperation is a neutrally uninvadable set, and thus Lyapunov stable.

Suggested Citation

  • Thomas Norman, 2004. "Dynamically Stable Preferences," Economics Series Working Papers 207, University of Oxford, Department of Economics.
  • Handle: RePEc:oxf:wpaper:207
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    References listed on IDEAS

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    1. Michihiro, Kandori & Rob, Rafael, 1998. "Bandwagon Effects and Long Run Technology Choice," Games and Economic Behavior, Elsevier, vol. 22(1), pages 30-60, January.
    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. Fershtman, Chaim & Weiss, Yoram, 1998. "Social rewards, externalities and stable preferences," Journal of Public Economics, Elsevier, vol. 70(1), pages 53-73, October.
    4. 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.
    5. Oechssler, Jorg & Riedel, Frank, 2002. "On the Dynamic Foundation of Evolutionary Stability in Continuous Models," Journal of Economic Theory, Elsevier, vol. 107(2), pages 223-252, December.
    6. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    7. 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.
    8. 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.
    9. JÃrg Oechssler & Frank Riedel, 2001. "Evolutionary dynamics on infinite strategy spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 17(1), pages 141-162.
    10. Bester, Helmut & Guth, Werner, 1998. "Is altruism evolutionarily stable?," Journal of Economic Behavior & Organization, Elsevier, vol. 34(2), pages 193-209, February.
    11. Rotemberg, Julio J, 1994. "Human Relations in the Workplace," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 684-717, August.
    12. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275R, Cowles Foundation for Research in Economics, Yale University, revised Aug 2001.
    13. Steffen Huck & Georg Kirchsteiger & Jörg Oechssler, 2005. "Learning to like what you have - explaining the endowment effect," Economic Journal, Royal Economic Society, vol. 115(505), pages 689-702, July.
    14. Werner G, th & Bezalel Peleg, 2001. "When will payoff maximization survive? An indirect evolutionary analysis," Journal of Evolutionary Economics, Springer, vol. 11(5), pages 479-499.
    15. Kyle, Albert S & Wang, F Albert, 1997. "Speculation Duopoly with Agreement to Disagree: Can Overconfidence Survive the Market Test?," Journal of Finance, American Finance Association, vol. 52(5), pages 2073-2090, December.
    16. 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.
    17. 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.
    18. Guth, Werner, 1995. "An Evolutionary Approach to Explaining Cooperative Behavior by Reciprocal Incentives," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(4), pages 323-344.
    19. 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.
    20. 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.
    21. 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.
    22. Benos, Alexandros V., 1998. "Aggressiveness and survival of overconfident traders," Journal of Financial Markets, Elsevier, vol. 1(3-4), pages 353-383, September.
    23. Eshel, I. & Samuelson, L. & Shaked, A., 1996. "Altruists, Egoists and Hooligans in a Local Interaction Model," Working papers 9612, Wisconsin Madison - Social Systems.
    24. Guttman, Joel M., 2000. "On the evolutionary stability of preferences for reciprocity," European Journal of Political Economy, Elsevier, vol. 16(1), pages 31-50, March.
    25. Ilan Eshel & Larry Samuelson & Avner Shaked, "undated". "Altruists Egoists and Hooligans in a Local Interaction Model," ELSE working papers 005, ESRC Centre on Economics Learning and Social Evolution.
    26. 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.
    27. 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.
    28. Samuelson, Larry, 2001. "Introduction to the Evolution of Preferences," Journal of Economic Theory, Elsevier, vol. 97(2), pages 225-230, April.
    29. Sethi, Rajiv & Somanathan, E., 2001. "Preference Evolution and Reciprocity," Journal of Economic Theory, Elsevier, vol. 97(2), pages 273-297, April.
    30. Nittai Bergman & Yaacov Z Bergman, 2000. "Ecologies of Preferences with Envy As An Antidote to Risk Aversion in Bargaining," Levine's Working Paper Archive 7561, David K. Levine.
    31. Jon Elster, 1998. "Emotions and Economic Theory," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 47-74, March.
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    More about this item

    Keywords

    Evolution; Preferences; Global Games; Replicator Dynamics; Continuous Strategy Space; Evolutionary Stability;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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