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Bilateral Matching and Latin Squares

Author

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  • Camera, Gabriele
  • Selcuk, Cemil

Abstract

We study equilibrium prices and trade volume with n identical buyers and a seller who initially commits to some capacity. Sales are sequential and each price is determined by strategic bargaining. A unique sub-game perfect equilibrium exists. It is characterized by absence of costly bargaining delays and each trade is settled at a different price. Prices increase with n and fall in the seller’s capacity, so if buyers have significant bargaining power, then the seller will strategically constrain capacity to less than n. Thus, despite the efficiency of the bargaining solution, certain distributions of bargaining powers give rise to an allocative inefficiency.

Suggested Citation

  • Camera, Gabriele & Selcuk, Cemil, 2006. "Bilateral Matching and Latin Squares," Purdue University Economics Working Papers 1190, Purdue University, Department of Economics.
  • Handle: RePEc:pur:prukra:1190
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    File URL: http://www.krannert.purdue.edu/programs/phd/Working-papers-series/2006/1190.pdf
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    References listed on IDEAS

    as
    1. Horn, Henrik & Wolinsky, Asher, 1988. "Worker Substitutability and Patterns of Unionisation," Economic Journal, Royal Economic Society, vol. 98(391), pages 484-497, June.
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    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. Calvo-Armengol, Antoni, 1999. "A note on three-player noncooperative bargaining with restricted pairwise meetings," Economics Letters, Elsevier, vol. 65(1), pages 47-54, October.
    5. Lars A. Stole & Jeffrey Zwiebel, 1996. "Intra-firm Bargaining under Non-binding Contracts," Review of Economic Studies, Oxford University Press, vol. 63(3), pages 375-410.
    6. Crawford, Vincent P, 1982. "A Theory of Disagreement in Bargaining," Econometrica, Econometric Society, vol. 50(3), pages 607-637, May.
    7. Caruana, Guillermo & Einav, Liran & Quint, Daniel, 2007. "Multilateral bargaining with concession costs," Journal of Economic Theory, Elsevier, vol. 132(1), pages 147-166, January.
    8. 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.
    9. Ariel Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 63-78.
    10. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April.
    11. Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-1364, November.
    12. Dasgupta, Sudipto & Sengupta, Kunal, 1993. "Sunk Investment, Bargaining and Choice of Capital Structure," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 203-220, February.
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    More about this item

    Keywords

    Commitment ; Inefficiency ; Peripheral players ; Price heterogeneity ; Strategic bargaining;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D20 - Microeconomics - - Production and Organizations - - - General

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