2023/05/08 by Marcin Dziubiński, Dziubiński, Marcin, K.‐U. Jahn +1 · 1 citation
Decision Sciences · Economics, Econometrics and Finance · Social Sciences · #Auction Theory and Applications #Computer Science and Game Theory (cs.GT) #Economic theories and models #Experimental Behavioral Economics Studies #FOS: Computer and information sciences
paper · pdf · doi:10.48550/arxiv.2305.04696
openalex publication_date 2023/05/08 · openalex created_date 2023/05/10 · openalex updated_date 2026/07/28
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.