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Trading mechanism selection with budget constraints

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  • Selcuk, Cemil

Abstract

We present an equilibrium search model of competing mechanisms where some buyers are budget constrained. Absent budget constraints, the existing literature capitulates that if buyers differ in their valuations then in the unique equilibrium all sellers hold second price auctions (e.g. McAfee (1993)) whereas if buyers are homogeneous then sellers are indifferent across a large number of payoff-equivalent mechanisms (e.g. Eeckhout and Kircher (2010)). We show that these results are not robust to the presence of budget constrained buyers; merely lowering the budgets of a few buyers renders the auction equilibrium as well as payoff equivalence unsustainable. If buyers differ only slightly in terms of their ability to pay then sellers prefer fixed price trading; otherwise they prefer auctions.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 36227.

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Date of creation: 12 Mar 2011
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Handle: RePEc:pra:mprapa:36227

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Keywords: Trading Mechanisms; Budget Constraints; Competitive Search;

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  1. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
  2. Jan Eeckhout & Philipp Kircher, 2010. "Sorting versus screening: search frictions and competing mechanisms," LSE Research Online Documents on Economics 29704, London School of Economics and Political Science, LSE Library.
  3. 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.
  4. Kultti, K.K., 1997. "Equivalence of Auctions and Posted Prices," Discussion Paper 1997-57, Tilburg University, Center for Economic Research.
  5. 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.
  6. Michael Peters, 1995. "A Competitive Distribution of Auctions," Working Papers peters-95-03, University of Toronto, Department of Economics.
  7. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
  8. Gill, David & Thanassoulis, John, 2009. "The impact of bargaining on markets with price takers: Too many bargainers spoil the broth," European Economic Review, Elsevier, vol. 53(6), pages 658-674, August.
  9. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
  10. Zheng, Charles Z., 2001. "High Bids and Broke Winners," Journal of Economic Theory, Elsevier, vol. 100(1), pages 129-171, September.
  11. Wang, Ruqu, 1995. "Bargaining versus posted-price selling," European Economic Review, Elsevier, vol. 39(9), pages 1747-1764, December.
  12. Gabriele Camera & Cemil Selcuk, 2010. "Multi-player Bargaining with Endogenous Capacity," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 637-653, July.
  13. Che, Yeon-Koo & Gale, Ian, 2000. "The Optimal Mechanism for Selling to a Budget-Constrained Buyer," Journal of Economic Theory, Elsevier, vol. 92(2), pages 198-233, June.
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