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Price Dispersion: an Evolutionary Approach

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  • Ed Hopkins
  • Robert M. Seymour

Abstract

In many markets it is possible to find rival sellers charging different prices for the same good. Earlier research has explained this phenomenon by demon-strating the existence of dispersed price equilibria when consumers must make use of costly search to discover prices. Taking as a starting point the model of Burdett and Judd (Econometric, 1983), this paper, extending evolutionary techniques to a game with nonlinear payoffs and a continuum of strategies, reexamines the question of price dispersion from an evolutionary, disequilibrium perspective. That is, firms and consumers adjust behaviour adaptively in response to current market conditions. We find that dispersed price equilibria are unstable when consumers use a fixed sample size search rule but may be stable when a reservation price rule is used.

Suggested Citation

  • Ed Hopkins & Robert M. Seymour, "undated". "Price Dispersion: an Evolutionary Approach," ELSE working papers 043, ESRC Centre on Economics Learning and Social Evolution.
    • Handle: RePEc:els:esrcls:043
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    References listed on IDEAS

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    1. Rothschild, Michael, 1974. "Searching for the Lowest Price When the Distribution of Prices Is Unknown," Journal of Political Economy, University of Chicago Press, vol. 82(4), pages 689-711, July/Aug..
    2. Fudenberg Drew & Kreps David M., 1993. "Learning Mixed Equilibria," Games and Economic Behavior, Elsevier, vol. 5(3), pages 320-367, July.
    3. Steven Salop & Joseph Stiglitz, 1977. "Bargains and Ripoffs: A Model of Monopolistically Competitive Price Dispersion," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 493-510.
    4. Stigler, George J., 2011. "Economics of Information," Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 5, pages 35-49.
    5. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    6. Hopkins, Ed, 1999. "Learning, Matching, and Aggregation," Games and Economic Behavior, Elsevier, vol. 26(1), pages 79-110, January.
    7. Wilde, Louis L, 1992. "Comparison Shopping as a Simultaneous Move Game," Economic Journal, Royal Economic Society, vol. 102(412), pages 562-569, May.
    8. Morgan, Peter & Manning, Richard, 1985. "Optimal Search," Econometrica, Econometric Society, vol. 53(4), pages 923-944, July.
    9. Helmut Bester, 1988. "Bargaining, Search Costs and Equilibrium Price Distributions," Review of Economic Studies, Oxford University Press, vol. 55(2), pages 201-214.
    10. Fershtman, Chaim & Fishman, Arthur, 1992. "Price Cycles and Booms: Dynamic Search Equilibrium," American Economic Review, American Economic Association, vol. 82(5), pages 1221-1233, December.
    11. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    12. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    13. Talmain, Gabriel, 1992. "Search from an unkown distribution an explicit solution," Journal of Economic Theory, Elsevier, vol. 57(1), pages 141-157.
    14. Rothschild, Michael, 1973. "Models of Market Organization with Imperfect Information: A Survey," Journal of Political Economy, University of Chicago Press, vol. 81(6), pages 1283-1308, Nov.-Dec..
    15. Carlson, John A & McAfee, R Preston, 1983. "Discrete Equilibrium Price Dispersion," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 480-493, June.
    16. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    17. Benabou Roland, 1993. "Search Market Equilibrium, Bilateral Heterogeneity, and Repeat Purchases," Journal of Economic Theory, Elsevier, vol. 60(1), pages 140-158, June.
    18. Harrison, Glenn W & Morgan, Peter, 1990. "Search Intensity in Experiments," Economic Journal, Royal Economic Society, vol. 100(401), pages 478-486, June.
    19. Joseph L. Gastwirth, 1976. "On Probabilistic Models of Consumer Search for Information," The Quarterly Journal of Economics, Oxford University Press, vol. 90(1), pages 38-50.
    20. Louis L. Wilde & Alan Schwartz, 1979. "Equilibrium Comparison Shopping," Review of Economic Studies, Oxford University Press, vol. 46(3), pages 543-553.
    21. 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. 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.
    2. Hopkins, Ed, 1999. "A Note on Best Response Dynamics," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 138-150, October.
    3. Robert Jump, 2013. "Results on the Stability of a Simple Wage Posting Model," Studies in Economics 1319, School of Economics, University of Kent.
    4. Kirman, Alan P. & Vriend, Nicolaas J., 2001. "Evolving market structure: An ACE model of price dispersion and loyalty," Journal of Economic Dynamics and Control, Elsevier, vol. 25(3-4), pages 459-502, March.

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    More about this item

    Keywords

    Learning; Evolution; Search; Price Dispersion.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods

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