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,...

Many sales, sports, and research contests are put in place to maximize contestants' performance. We investigate and provide a complete characterization of the prize structures that achieve this objective in settings with many contestants. The contestants may be ex-ante asymmetric in their...

We propose adding a third,intermediate,verdict to the two-verdict used in criminal trials. We show that the additional verdict can be used to distinguish between convicted defendants, based on the residual doubt regarding their guilt at the end of the trial, in a way that improves welfare and...

We investigate a common-value labor setting in which firms interview a worker prior to hiring. When firms have private information about the worker’s value and interview decisions are kept private, many firms may enter the market, interview, and hire with positive probability. When firms’...

We study impersonal exchange, and ask how agents can behave honestly in anonymous transactions without contracts. We analyze repeated anonymous random matching games, where agents observe only their own transactions. Little is known about cooperation in this setting beyond the prisoner's...

In this paper, we study the potential implications of a novel yet natural voting system: strategic sequential voting. Each voter has one vote and can choose when to cast his vote. After each voting period, the current count of votes is publicized enabling subsequent voters to use this...

Often, perfect bayesian equilibrium is loosely defined by stating that players should be sequentially rational given some beliefs in which Bayes rule is applied whenever possible". We show that there are games in which it is not clear what whenever possible" means. Then, we provide a simple...