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Pure strategy equilibria of single and double auctions with interdependent values

Aloisio Araujo and Luciano de Castro

Games and Economic Behavior, 2009, vol. 65, issue 1, 25-48

Abstract: We prove the existence of monotonic pure strategy equilibrium for many kinds of asymmetric auctions with n bidders and unitary demands, interdependent values and independent types. The assumptions require monotonicity only in the own bidder's type. The payments can be a function of all bids. Thus, we provide a new equilibrium existence result for asymmetrical double auctions and a small number of bidders. The generality of our setting requires the use of special tie-breaking rules. We present an example of a double auction with interdependent values where all equilibria are trivial, that is, they have zero probability of trade. This is related to Akerlof's "market for lemmons" example and to the "winner's curse," establishing a connection between them. However, we are able to provide sufficient conditions for non-trivial equilibrium existence.

Keywords: Equilibrium; existence; in; auctions; Pure; strategy; Nash; equilibrium; Monotonic; equilibrium; Tie-breaking; rule; Positive; probability; of; trade; Market; for; lemmons; Winners'; curse (search for similar items in EconPapers)
Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

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Working Paper: Pure strategy equilibria of single and double auctions with interdependent values (2006) Downloads
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