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Bilateral Matching and Latin Squares

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  • Camera, Gabriele
  • Selcuk, Cemil
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    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.

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    Bibliographic Info

    Paper provided by Purdue University, Department of Economics in its series Purdue University Economics Working Papers with number 1190.

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    Length: 26 pages
    Date of creation: Jul 2006
    Date of revision:
    Handle: RePEc:pur:prukra:1190

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    Related research

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

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    1. Stole, Lars A & Zwiebel, Jeffrey, 1996. "Intra-firm Bargaining under Non-binding Contracts," Review of Economic Studies, Wiley Blackwell, vol. 63(3), pages 375-410, July.
    2. 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.
    3. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April.
    4. Crawford, Vincent P, 1982. "A Theory of Disagreement in Bargaining," Econometrica, Econometric Society, vol. 50(3), pages 607-37, May.
    5. Horn, Henrik & Wolinsky, Asher, 1988. "Worker Substitutability and Patterns of Unionisation," Economic Journal, Royal Economic Society, vol. 98(391), pages 484-97, June.
    6. Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-64, November.
    7. 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 203-20, February.
    8. 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.
    9. Guillermo Caruana & Liran Einav & Daniel Quint, 2004. "Multilateral Bargaining With Concession Costs," Working Papers wp2004_0415, CEMFI.
    10. 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.
    11. Rubinstein, Ariel & Wolinsky, Asher, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Review of Economic Studies, Wiley Blackwell, vol. 57(1), pages 63-78, January.
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