University of Cincinnati Lindner College of Business

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The max-min group contest: weakest-link (group) all-pay auction

Author(s): Subhasish Chowdhury, Dongryul Lee, Iryna Topolyan

Status: Published
Year: 2016
Publication Name: Southern Economic Journal
Volume: 83, Issue: 1, Page Number(s): 105-125


We investigate a group all-pay auction in which each group's effort is represented by the minimum among the effort levels exerted by the group members and the prize is a group-specific public good. We fully characterize the symmetric equilibria for two groups. There are four types of equilibria: the pure strategy equilibria in which all (active) players exert the same effort; the semi-pure strategy equilibria in which the players in a group play the same pure strategy whereas those in the other group play the same mixed strategy; the nondegenerate mixed strategy equilibria with continuous support; and the nondegenerate mixed strategy equilibria with discontinuous support. We then analyze a general contest with n groups.


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