I show that a unique equilibrium exists in a two-player all-pay auction with asymmetric independent discrete signal distributions and asymmetric interdependent valuations. The proof is constructive, and the construction is simple to implement as a computer program. For special cases, which...

We provide conditions that simplify applying Reny's (1999) better-reply security to Bayesian games, and use these conditions to prove the existence of equilibria for classes of games in which payoff discontinuities arise only at "ties." These games include a general version of all-pay contests,...

We provide conditions that simplify applying Reny's (1999) better-reply security to Bayesian games and use these conditions to prove the existence of equilibria for classes of games in which payoff discontinuities arise only at “ties.” These games include a general version of all-pay...