Equilibria in Second-Price Auctions with Private Participation Costs

Xiaoyong Cao (), Guofu Tan, Guoqiang Tian and Okan Yilankaya
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Xiaoyong Cao: Department of Economics, University of International Business andEconomics, Beijing, China

No 1604, Working Papers from Nazarbayev University, Department of Economics

Abstract: We study equilibria in second-price auctions where bidders are independently and pri- vately informed about both their values and participation costs, and where the joint dis- tributions of these values and costs across bidders are not necessarily identical. We show that there always exists an equilibrium in this general setting with two dimensional types of ex ante heterogeneous bidders. When bidders are ex ante homogeneous, there is a unique symmetric equilibrium, but asymmetric equilibria may also exist. We provide conditions under which the equilibrium is unique (not only among symmetric ones). We find that the marginal density of participation costs and the concentration of values matter for the uniqueness. The presence of private information on participation costs tends to reduce multiplicity of participation equilibria, although multiplicity still persists.

Keywords: two-dimensional types; private participation costs; second-price auctions; existence and uniqueness of equilibrium (search for similar items in EconPapers)
JEL-codes: C62 C72 D44 D61 D82 (search for similar items in EconPapers)
Pages: 23 pages
Date: 2016-12, Revised 2016-12
New Economics Papers: this item is included in nep-gth and nep-mic
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Related works:
Journal Article: Equilibria in second-price auctions with private participation costs (2018)
Working Paper: Equilibria in Second Price Auctions with Private Participation Costs (2014)
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