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Buyer’s equilibrium with capacity constraints and restricted mobility: A recursive approach

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  • Camera, Gabriele
  • Kim, Jaehong

Abstract

We study a decentralized trading model as in Peters (1984a), where heterogeneous market participants face a trade-off between price and trade probability. We present a novel proof of existence of a unique demand vector in Nash equilibrium, based on a recursive approach that exploits the monotonicity of matching functions.

Suggested Citation

  • Camera, Gabriele & Kim, Jaehong, 2013. "Buyer’s equilibrium with capacity constraints and restricted mobility: A recursive approach," Economics Letters, Elsevier, vol. 118(2), pages 321-323.
    • Handle: RePEc:eee:ecolet:v:118:y:2013:i:2:p:321-323
    DOI: 10.1016/j.econlet.2012.11.012
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    References listed on IDEAS

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    1. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-1127, September.
    2. 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.
    3. 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.
    4. Selcuk, Cemil, 2012. "Trading mechanism selection with directed search when buyers are risk averse," Economics Letters, Elsevier, vol. 115(2), pages 207-210.
    5. Gabriele Camera & Cemil Selcuk, 2009. "Price Dispersion with Directed Search," Journal of the European Economic Association, MIT Press, vol. 7(6), pages 1193-1224, December.
    6. Peters, Michael, 1984. "Restrictions on Price Advertising," Journal of Political Economy, University of Chicago Press, vol. 92(3), pages 472-485, June.
    7. James D. Montgomery, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(1), pages 163-179.
    8. Virág, Gábor, 2011. "High profit equilibria in directed search models," Games and Economic Behavior, Elsevier, vol. 71(1), pages 224-234, January.
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    Cited by:

    1. Gabriele Camera & Jaehong Kim, 2016. "Dynamic directed search," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 131-154, June.
    2. Kim, Jaehong & Camera, Gabriele, 2014. "Uniqueness of equilibrium in directed search models," Journal of Economic Theory, Elsevier, vol. 151(C), pages 248-267.

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    More about this item

    Keywords

    Nash equilibrium; Recursive methods; Existence; Heterogeneity; Matching;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D39 - Microeconomics - - Distribution - - - Other
    • D49 - Microeconomics - - Market Structure, Pricing, and Design - - - Other
    • E39 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Other

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