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On the foundations of competitive search equilibrium with and without market makers

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Listed:
  • Albrecht, James
  • Cai, Xiaoming
  • Gautier, Pieter
  • Vroman, Susan

Abstract

The literature offers two interpretations of competitive search equilibrium, one based on a Nash approach and the other on a market-maker approach. When each buyer visits only one seller, the two approaches are equivalent. However, when each buyer visits multiple sellers, this equivalence can break down. We present a model in which every buyer visits 2 sellers. A buyer who trades with one seller receives a value of s, while a buyer who trades with 2 sellers receives value 1. Letting s vary from 0 (perfect complements) to 1 (perfect substitutes) we characterize the competitive search equilibrium under the two interpretations. We show that for low values of s, the Nash and market-maker competitive search equilibria coincide, but the common equilibrium is inefficient. For intermediate values of s, the two equilibria again coincide and are efficient. Finally, for high values of s, the Nash and market-maker equilibria differ, and only the latter is efficient.

Suggested Citation

  • Albrecht, James & Cai, Xiaoming & Gautier, Pieter & Vroman, Susan, 2023. "On the foundations of competitive search equilibrium with and without market makers," Journal of Economic Theory, Elsevier, vol. 208(C).
    • Handle: RePEc:eee:jetheo:v:208:y:2023:i:c:s0022053123000017
    DOI: 10.1016/j.jet.2023.105605
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    References listed on IDEAS

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    1. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
    2. Manolis Galenianos & Philipp Kircher, 2012. "On The Game‐Theoretic Foundations Of Competitive Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(1), pages 1-21, February.
    3. Dale T. Mortensen & Randall Wright, 2002. "Competitive Pricing and Efficiency in Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(1), pages 1-20, February.
    4. Michael Peters, 1997. "A Competitive Distribution of Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(1), pages 97-123.
    5. Albrecht, James & Cai, Xiaoming & Gautier, Pieter & Vroman, Susan, 2020. "Multiple applications, competing mechanisms, and market power," Journal of Economic Theory, Elsevier, vol. 190(C).
    6. Jan Eeckhout & Philipp Kircher, 2010. "Sorting and Decentralized Price Competition," Econometrica, Econometric Society, vol. 78(2), pages 539-574, March.
    7. James Albrecht & Pieter A. Gautier & Susan Vroman, 2006. "Equilibrium Directed Search with Multiple Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 869-891.
    8. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    9. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    10. Randall Wright & Philipp Kircher & Benoît Julien & Veronica Guerrieri, 2021. "Directed Search and Competitive Search Equilibrium: A Guided Tour," Journal of Economic Literature, American Economic Association, vol. 59(1), pages 90-148, March.
    11. Peters, Michael, 2000. "Limits of Exact Equilibria for Capacity Constrained Sellers with Costly Search," Journal of Economic Theory, Elsevier, vol. 95(2), pages 139-168, December.
    12. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
    13. Philipp Kircher, 2009. "Efficiency of Simultaneous Search," Journal of Political Economy, University of Chicago Press, vol. 117(5), pages 861-913, October.
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    More about this item

    Keywords

    Simultaneous search; Competitive search; Market makers; Efficiency;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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