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The Agents-are-Substitutes Property in Continuous Generalized Assignment Problems

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Author Info
Lok,Reinder B.
Romero Morales,Dolores
Vermeulen,Dries (METEOR)
Abstract

The VCG mechanism has some nice properties if the agents-are-substitutes property holds.For example, for combinatorial auctions the property assures that the VCG mechanism is supported by a pricing equilibrium. The existence of such a pricing equilibrium is a necessary condition for the existence of ascending auctions that are equivalent to the VCG mechanism.Although it is known that the agents-are-substitutes property is important in several settings few problems or subclasses of problems are proven to have the property.In this paper we show for a class of problems that the agents-are-substitutes property holds. Moreover we give two rather natural and small extensions that do not have this property in general.Furthermore we show that in our simple problem class we need the possibility of price discrimination.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 008.

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Date of creation: 2005
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Handle: RePEc:dgr:umamet:2005008

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Keywords: operations research and management science

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  1. Peter Cramton & Yoav Shoham & Richard Steinberg, 2004. "Combinatorial Auctions," Papers of Peter Cramton 04mit, University of Maryland, Department of Economics - Peter Cramton, revised 2004. [Downloadable!]
  2. de Vries, Sven & Schummer, James & Vohra, Rakesh V., 2007. "On ascending Vickrey auctions for heterogeneous objects," Journal of Economic Theory, Elsevier, vol. 132(1), pages 95-118, January. [Downloadable!] (restricted)
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  3. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-79, June. [Downloadable!] (restricted)
  4. Kagel, John H & Levin, Dan, 2001. "Behavior in Multi-unit Demand Auctions: Experiments with Uniform Price and Dynamic Vickrey Auctions," Econometrica, Econometric Society, vol. 69(2), pages 413-54, March.
  5. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July. [Downloadable!] (restricted)
  6. Lawrence Ausubel & Paul Milgrom, 2002. "Ascending Auctions with Package Bidding," Advances in Theoretical Economics, Berkeley Electronic Press, vol. 1(1), pages 1019-1019. [Downloadable!] (restricted)
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  7. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December. [Downloadable!] (restricted)
  8. Cramton, Peter, 1998. "Ascending auctions," European Economic Review, Elsevier, vol. 42(3-5), pages 745-756, May. [Downloadable!] (restricted)
    Other versions:
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