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Instability of endogenous price dispersion equilibria: A simulation

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  • Lucas Herrenbrueck

Abstract

Models of price posting by firms and search by consumers (such as Burdett and Judd 1983), often feature equilibria with endogenous price dispersion. However, such equilibria are strategically fragile. In order to investigate how robust they are in the absence of an external coordination mechanism, I simulate various protocols firms may use to update their prices. Despite firms being myopic, some protocols yield results close to the benchmark model. If firms rush to update before observing competitors actions, profits are higher on average but volatile and cyclical. With cost dispersion, prices become more stable as they are more closely tied to costs. All results are robust to moderate menu costs.

Suggested Citation

  • Lucas Herrenbrueck, 2018. "Instability of endogenous price dispersion equilibria: A simulation," Canadian Journal of Economics, Canadian Economics Association, vol. 51(4), pages 1363-1385, November.
  • Handle: RePEc:cje:issued:v:51:y:2018:i:4:p:1363-1385
    DOI: 10.1111/caje.12355
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    1. Fudenberg Drew & Kreps David M., 1993. "Learning Mixed Equilibria," Games and Economic Behavior, Elsevier, vol. 5(3), pages 320-367, July.
    2. Dale T. Mortensen, 2005. "A Comment On "Price Dispersion, Inflation, And Welfare" By A. Head And A. Kumar," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 573-578, May.
    3. Athanasios Geromichalos, 2012. "Directed Search and the Bertrand Paradox," Working Papers 1221, University of California, Davis, Department of Economics.
    4. Wang, Liang, 2016. "Endogenous search, price dispersion, and welfare," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 94-117.
    5. Athanasios Geromichalos, 2014. "Directed Search And The Bertrand Paradox," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 1043-1065, November.
    6. Allen Head & Alok Kumar & Beverly Lapham, 2010. "Market Power, Price Adjustment, And Inflation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(1), pages 73-98, February.
    7. Greg Kaplan & Guido Menzio & Leena Rudanko & Nicholas Trachter, 2019. "Relative Price Dispersion: Evidence and Theory," American Economic Journal: Microeconomics, American Economic Association, vol. 11(3), pages 68-124, August.
    8. Sean Crockett & Ryan Oprea & Charles Plott, 2011. "Extreme Walrasian Dynamics: The Gale Example in the Lab," American Economic Review, American Economic Association, vol. 101(7), pages 3196-3220, December.
    9. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles," Econometrica, Econometric Society, vol. 56(3), pages 571-599, May.
    10. Babur De Los Santos & Ali Hortacsu & Matthijs R. Wildenbeest, 2012. "Testing Models of Consumer Search Using Data on Web Browsing and Purchasing Behavior," American Economic Review, American Economic Association, vol. 102(6), pages 2955-2980, October.
    11. Ed Hopkins & Robert M. Seymour, 2002. "The Stability of Price Dispersion under Seller and Consumer Learning," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(4), pages 1157-1190, November.
    12. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    13. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-273, May.
    14. Guido Menzio & Nicholas Trachter, 2018. "Equilibrium Price Dispersion Across and Within Stores," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 205-220, April.
    15. Burdett, Kenneth & Trejos, Alberto & Wright, Randall, 2017. "A new suggestion for simplifying the theory of money," Journal of Economic Theory, Elsevier, vol. 172(C), pages 423-450.
    16. George Alessandria, 2009. "Consumer Search, Price Dispersion, And International Relative Price Fluctuations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(3), pages 803-829, August.
    17. Allen Head & Lucy Qian Liu & Guido Menzio & Randall Wright, 2012. "Sticky Prices: A New Monetarist Approach," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 939-973, October.
    18. Cason, Timothy N. & Friedman, Daniel & Wagener, Florian, 2005. "The dynamics of price dispersion, or Edgeworth variations," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 801-822, April.
    19. Allen Head & Alok Kumar, 2005. "Price Dispersion, Inflation, And Welfare," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 533-572, May.
    20. Lucas Herrenbrueck, 2017. "An Open-Economy Model With Money, Endogenous Search, And Heterogeneous Firms," Economic Inquiry, Western Economic Association International, vol. 55(4), pages 1648-1670, October.
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    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory

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