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Custom versus fashion: path-dependence and limit cycles in a random matching game

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  • Kiminori Matsuyama

Abstract

A pairwise random matching game is considered to identify the social environments that give rise to the social custom and fashion cycles. The game, played by Conformists and Nonconformists, can generate a variety of socially stable behavior patterns. In the path-dependence case, Conformists set the social custom and Nonconformists revolt against it; what action becomes the custom is determined by history. In the limit cycle case, Nonconformists become fashion leaders and switch their actions periodically, while Conformists follow with delay. The outcome depends on the relative share of Conformists to Nonconformists as well as their matching patterns.

Suggested Citation

  • Kiminori Matsuyama, 1993. "Custom versus fashion: path-dependence and limit cycles in a random matching game," Discussion Paper / Institute for Empirical Macroeconomics 82, Federal Reserve Bank of Minneapolis.
    • Handle: RePEc:fip:fedmem:82
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    1. Samuelson, L., 1989. "Evolutionnary Stability In Asymmetric Games," Papers 11-8-2, Pennsylvania State - Department of Economics.
    2. Becker, Gary S, 1974. "A Theory of Social Interactions," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1063-1093, Nov.-Dec..
    3. Kiminori Matsuyama, 1992. "A Simple Model of Sectoral Adjustment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(2), pages 375-387.
    4. Kiminori Matsuyama, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 617-650.
    5. Karni, Edi & Schmeidler, David, 1990. "Fixed Preferences and Changing Tastes," American Economic Review, American Economic Association, vol. 80(2), pages 262-267, May.
    6. Becker, Gary S, 1991. "A Note on Restaurant Pricing and Other Examples of Social Influences on Price," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 1109-1116, October.
    7. repec:bla:econom:v:59:y:1992:i:234:p:161-77 is not listed on IDEAS
    8. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    9. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October.
    10. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    11. Conlisk, John, 1980. "Costly optimizers versus cheap imitators," Journal of Economic Behavior & Organization, Elsevier, vol. 1(3), pages 275-293, September.
    12. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-867, May.
    13. Timur Kuran, 1989. "Sparks and prairie fires: A theory of unanticipated political revolution," Public Choice, Springer, vol. 61(1), pages 41-74, April.
    14. George A. Akerlof, 1980. "A Theory of Social Custom, of which Unemployment may be One Consequence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(4), pages 749-775.
    15. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-666, May.
    16. H. Leibenstein, 1950. "Bandwagon, Snob, and Veblen Effects in the Theory of Consumers' Demand," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 64(2), pages 183-207.
    17. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
    18. Jess Benhabib & Richard H. Day, 1981. "Rational Choice and Erratic Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 459-471.
    19. 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.
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    Cited by:

    1. Matsui Akihiko & Matsuyama Kiminori, 1995. "An Approach to Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 65(2), pages 415-434, April.
    2. Cabo, Francisco & García-González, Ana, 2020. "Interaction and imitation with heterogeneous agents: A misleading evolutionary equilibrium," Journal of Economic Behavior & Organization, Elsevier, vol. 179(C), pages 152-174.
    3. Baumann, Leonie & Olszewski, Wojciech, 2021. "Demand cycles and heterogeneous conformity preferences," Journal of Economic Theory, Elsevier, vol. 194(C).
    4. Ahmad Naimzada & Marina Pireddu, 2019. "A general equilibrium evolutionary model with generic utility functions and generic bell-shaped attractiveness maps, generating fashion cycle dynamics," Working Papers 401, University of Milano-Bicocca, Department of Economics, revised Mar 2019.
    5. Agnès Festré, 2010. "Incentives And Social Norms: A Motivation‐Based Economic Analysis Of Social Norms," Journal of Economic Surveys, Wiley Blackwell, vol. 24(3), pages 511-538, July.
    6. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October.
    7. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    8. Leonardo Bargigli & Filippo Pietrini, 2023. "An agent based model of fads," Working Papers - Economics wp2023_01.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    9. Ahmad Naimzada & Marina Pireddu, 2020. "A general equilibrium evolutionary model with two groups of agents, generating fashion cycle dynamics," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 155-185, June.

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    More about this item

    Keywords

    Game theory;

    JEL classification:

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

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