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A Dynamic Auction for Differentiated Items under Price Rigidities

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  • Talman, A.J.J.
  • Yang, Z.F.

    (Tilburg University, Center for Economic Research)

Abstract

A number of heterogeneous items are to be sold to several bidders. Each bidder demands at most one item. The price of each item is not completely flexible and is restricted to some admissible interval. In such a market economy with price rigidities, a Walrasian equilibrium usually fails to exist. To facilitate the allocation of items to the bidders, we propose an ascending auction with rationing that yields a constrained Walrasian equilibrium outcome. The auctioneer starts with the lower bound price vector that specifies the lowest admissible price for each item, and each bidder responds with a set of items demanded at those prices. The auctioneer adjusts prices upwards for a minimal set of over-demanded items and chooses randomly a winning bidder for any item if the item is demanded by several bidders and its price has reached its highest admissible price. We prove that the auction finds a constrained Walrasian equilibrium outcome in a finite number of steps.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2007-26.

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Date of creation: 2007
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Handle: RePEc:dgr:kubcen:200726

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Web page: http://center.uvt.nl

Related research

Keywords: Ascending auction; multi-item auction; constrained equilibrium; price rigidities; rationing;

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  1. Maskin, Eric S., 2000. "Auctions, development, and privatization: Efficient auctions with liquidity-constrained buyers," European Economic Review, Elsevier, vol. 44(4-6), pages 667-681, May.
  2. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-50, March.
  3. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
  4. Cox, Charles C, 1980. "The Enforcement of Public Price Controls," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 887-916, October.
  5. Weddepohl, Claus, 1987. "Supply-constrained equilibria in economies with indexed prices," Journal of Economic Theory, Elsevier, vol. 43(2), pages 203-222, December.
  6. Azariadis, Costas & Stiglitz, Joseph E, 1983. "Implicit Contracts and Fixed Price Equilibria," The Quarterly Journal of Economics, MIT Press, vol. 98(3), pages 1-22, Supplemen.
  7. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
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Cited by:
  1. Andersson , Tommy & Yang , Zaifu & Zhang , Dongmo, 2014. "How to Efficiently Allocate Houses under Price Controls?," Working Papers 2014:24, Lund University, Department of Economics.
  2. Gerard van der Laan & Zaifu Yang, 2011. "An Ascending Multi-Item Auction with Financially Constrained Bidders," Discussion Papers 11/04, Department of Economics, University of York.

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