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...

Introduction to Strategic Form Games -- Dominance -- Rationalizability -- Nash Equilibrium -- Perfect Equilibrium -- Evolutionary Stable Strategies -- Correlated Equilibrium -- Bayesian Nash Equilibrium -- Introduction to Extensive Form Games -- Subgame Perfect Nash Equilibrium -- Sequential...