An Ascending Multi-Item Auction with Financially Constrained Bidders
A number of heterogeneous items are to be sold to a group of potential bidders. Every bidder knows his own values over the items and his own budget privately. Due to budget constraint, bidders may not be able to pay up to their values. In such a market, a Walrasian equilibrium typically fails to exist and furthermore no existing allocation mechanism can tackle this case. We propose the notion of an `equilibrium under allotment' to such markets and develop an ascending auction mechanism that always finds such an equilibrium assignment and corresponding price system in finitely many rounds. The auction can be viewed as an appropriate and proper generalization of the ascending auction of Demange, Gale and Sotomayor from settings without financial constraints to settings with financial constraints. We examine various properties of the auction and its outcome.
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- 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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Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers
07-03, Indian Statistical Institute, New Delhi, India.
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- Sandro Brusco & Giuseppe Lopomo, 2005.
"Simultaneous Ascending Auctions with Complementarities and Known Budget Constraints,"
Department of Economics Working Papers
05-13, Stony Brook University, Department of Economics.
- Sandro Brusco & Giuseppe Lopomo, 2009. "Simultaneous ascending auctions with complementarities and known budget constraints," Economic Theory, Springer, vol. 38(1), pages 105-124, January.
- Sandro Brusco & Giuseppe Lopomo, 2002. "Simultaneous Ascending Bid Auctions with Budget Constraints," Working Papers 02-14, New York University, Leonard N. Stern School of Business, Department of Economics.
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