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 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 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’...

Many facts are learned through the intermediation of individuals with special access to information, such as law enforcement officers, officials with a security clearance, or experts with specific knowledge. This paper considers whether societies can learn about such facts when information is...

Can workers from social groups of comparable productivities obtain comparable employment opportunities in the long run? We model dynamic hiring and employer learning via a general Poisson multi-armed bandit framework. Breakdown environments that reveal on-the-job mistakes rather than successes...

We study social learning and innovation in an overlapping generations model, emphasizing the trade-off between marginal innovation (combining existing technologies) and radical innovation (breaking new ground). We characterize both short-term and long-term dynamics of innovation, and the...

How does renegotiation affect contracts between a principal and an agent subject to persistent private information and moral hazard? This paper introduces a concept of renegotiation-proofness, which adapts to stochastic games the concepts of weak renegotiation-proofness and internal consistency...

This paper argues that, to be forward-looking in a logically consistent sense, a decision maker must take account of his overall well-being, not just his instantaneous utility, in all future periods. However, such a decision-maker is necessarily time inconsistent. The paper explores the...