Discrete Two Player All-Pay Auction with Complete Information

Speaker(s)

Marcin Dziubiński

Affiliation

Instytut Informatyki, UW

Date

March 31, 2022, 10:15 a.m.

Room

room 4050

Seminar

Seminar Games, Mechanisms, and Social Networks

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We study discrete two player all-pay auction with complete information. We provide full characterization of mixed strategy Nash equilibria and show that they constitute a subset of Nash equilibria of discrete General Lotto game. We show that equilibria are not unique in general but they are interchangeable. We also show that equilibrium payoffs are unique, unless valuation of at least one of the players is an even integer number. If equilibrium payoffs are not unique, continuum of equilibrium payoffs are possible. We compare equilibrium characterization and equilibrium payoffs with the continuous variant of all-pay auctions.

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