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Search theory of imperfect competition with decreasing returns to scale

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  • Menzio, Guido

Abstract

I study a version of the search-theoretic model of imperfect competition by Burdett and Judd (1983) in which sellers operate a production technology with decreasing rather than constant returns to scale. Equilibrium exists and is unique, and its structure depends on the extent of search frictions. If search frictions are large enough, the price distribution is non-degenerate and atomless. If search frictions are neither too large nor too small, the price distribution is non-degenerate with an atom at the lowest price. If search frictions are small enough, the price distribution is degenerate. Equilibrium is efficient if and only if the price distribution is degenerate. Generically, neither the structure nor the welfare properties of equilibrium are the same as in Burdett and Judd (1983). As in Burdett and Judd (1983), however, equilibrium outcomes span the spectrum from pure monopoly to perfect competition as search frictions decline.

Suggested Citation

  • Menzio, Guido, 2024. "Search theory of imperfect competition with decreasing returns to scale," Journal of Economic Theory, Elsevier, vol. 218(C).
    • Handle: RePEc:eee:jetheo:v:218:y:2024:i:c:s0022053124000334
    DOI: 10.1016/j.jet.2024.105827
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    References listed on IDEAS

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    1. Kenneth Burdett & Guido Menzio, 2018. "The (Q,S,s) Pricing Rule," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(2), pages 892-928.
    2. Manolis Galenianos & Rosalie Liccardo Pacula & Nicola Persico, 2012. "A Search-Theoretic Model of the Retail Market for Illicit Drugs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(3), pages 1239-1269.
    3. Greg Kaplan & Guido Menzio, 2015. "The Morphology Of Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56, pages 1165-1206, November.
    4. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    5. Zachary Bethune & Michael Choi & Randall Wright, 2020. "Frictional Goods Markets: Theory and Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(2), pages 691-720.
    6. 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.
    7. Greg Kaplan & Guido Menzio, 2016. "Shopping Externalities and Self-Fulfilling Unemployment Fluctuations," Journal of Political Economy, University of Chicago Press, vol. 124(3), pages 771-825.
    8. James Albrecht & Guido Menzio & Susan Vroman, 2023. "Vertical Differentiation in Frictional Product Markets," Journal of Political Economy Macroeconomics, University of Chicago Press, vol. 1(3), pages 586-632.
    9. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    10. 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.
    11. Guido Menzio, 2023. "Optimal Product Design: Implications for Competition and Growth Under Declining Search Frictions," Econometrica, Econometric Society, vol. 91(2), pages 605-639, March.
    12. 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.
    13. Greg Kaplan & Guido Menzio, 2015. "The Morphology Of Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(4), pages 1165-1206, November.
    14. 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.
    15. 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.
    16. Han Hong & Matthew Shum, 2006. "Using price distributions to estimate search costs," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 257-275, June.
    17. Alan T. Sorensen, 2000. "Equilibrium Price Dispersion in Retail Markets for Prescription Drugs," Journal of Political Economy, University of Chicago Press, vol. 108(4), pages 833-862, August.
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    More about this item

    Keywords

    Search frictions; Imperfect competition; Price dispersion;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials

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