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Custom Versus Fashion: Path-Dependence and Limit Cycles in a Random Matching Game

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Author Info
Kiminori Matsuyama

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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 actin 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.

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/1030.pdf
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1030.

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Date of creation: Jun 1991
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Handle: RePEc:nwu:cmsems:1030

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Related research
Keywords: Best response dynamics Bifurcation Conformity and nonconformity Equilibrium refinement Evolutionary process Limit cycles Path-dependence Strategic complements and substitutes The collective selection and trickle-down theories of fasion.

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Matsuyama, Kiminori, 1992. "A Simple Model of Sectoral Adjustment," Review of Economic Studies, Blackwell Publishing, vol. 59(2), pages 375-88, April. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Gary S. Becker, 1974. "A Theory of Social Interactions," NBER Working Papers 0042, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. 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. [Downloadable!] (restricted)
  5. Matsuyama Kiminori, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," NBER Reprints 1626, National Bureau of Economic Research, Inc.
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  6. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-66, May. [Downloadable!] (restricted)
  7. 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 1109-16, October. [Downloadable!] (restricted)
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  8. Karni, Edi & Schmeidler, David, 1990. "Fixed Preferences and Changing Tastes," American Economic Review, American Economic Association, vol. 80(2), pages 262-67, May. [Downloadable!] (restricted)
  9. Nachbar, J H, 1990. ""Evolutionary" Selection Dynamics in Games: Convergence and Limit Properties," International Journal of Game Theory, Springer, vol. 19(1), pages 59-89.
  10. Samuelson, L. & Zhang, J., 1990. "Evolutionary Stability In Symmetric Games," Working papers 90-24, Wisconsin Madison - Social Systems.
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  11. Akerlof, George A, 1980. "A Theory of Social Custom, of Which Unemployment May be One Consequence," The Quarterly Journal of Economics, MIT Press, vol. 94(4), pages 749-75, June. [Downloadable!] (restricted)
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  12. Gaertner, Wulf & Pattanaik, Prasanta K & Suzumura, Kotaro, 1992. "Individual Rights Revisited," Economica, London School of Economics and Political Science, vol. 59(234), pages 161-77, May. [Downloadable!] (restricted)
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  13. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-67, May. [Downloadable!] (restricted)
  14. Conlisk, John, 1980. "Costly optimizers versus cheap imitators," Journal of Economic Behavior & Organization, Elsevier, vol. 1(3), pages 275-293, September. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Giacomo Corneo & Olivier Jeanne, 1994. "A Theory of Fashion Based on Segmented Communication," Discussion Paper Serie A 462, University of Bonn, Germany. [Downloadable!]
  2. Kiminori Matsuyama, 2005. "Emergent Class Structure," Discussion Papers 1407, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  3. Kiminori Matsuyama, 2005. "The 2005 Lawrence R. Klein Lecture: Emergent Class Structure," CIRJE F-Series CIRJE-F-383, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
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