Competing auctions: finite markets and convergence
AbstractThe literature on competing auctions offers a model where sellers compete for buyers by setting reserve prices freely. An important outstanding conjecture (e.g. Peters and Severinov (1997)) is that the sellers post prices close to their marginal costs when the market becomes large. This conjecture is confirmed in this paper. More precisely, we show that if all sellers have zero costs, then the equilibrium reserve price converges to 0 in distribution. I also show that if there is a high enough lower bound on the buyersâ€™ valuations, then there is a symmetric pure strategy equilibrium. In this equilibrium, if the number of buyers (sellers) increases, then the equilibrium reserve price increases (decreases) and the reserve price is decreasing in the size of the market.
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Bibliographic InfoArticle provided by Econometric Society in its journal Theoretical Economics.
Volume (Year): 5 (2010)
Issue (Month): 2 (May)
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Web page: http://econtheory.org
Competing auctions; finite markets; convergence;
Find related papers by JEL classification:
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
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- Virág, Gábor, 2011. "High profit equilibria in directed search models," Games and Economic Behavior, Elsevier, vol. 71(1), pages 224-234, January.
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