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The Max-Min Group Contest: Weakest-link (Group) All-Pay Auction

2016/02/09 by Subhasish M. Chowdhury, Dongryul Lee, Dong-Ryul Lee +1
Decision Sciences · Business, Management and Accounting · #Auction Theory and Applications #Digital Platforms and Economics #Consumer Market Behavior and Pricing

paper · doi:10.1002/soej.12129

Abstract

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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