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...

We study a repeated principal-agent model with transferable utility, where the principal's evaluation of the agent's performance is subjective. Our focus is on equilibria which are robust to the addition of small privately observed shocks to the payoffs. Existing constructions of positive-effort...