A strategy profile in a repeated game has bounded recall L if play under the profile after two distinct histories that agree in the last L periods is equal. Mailath and Morris (2002, 2006) proved that any strict equilibrium in bounded-recall strategies of a game with full support public...

Do elementary statistics or equilibrium theory deliver any insight regarding how we should argue in debates? We provide an answer in a model in which each discussant wants to convince the audience that a specific state holds. If the discussants' payoffs in the audience's posterior are concave...

Do elementary statistics or equilibrium theory deliver any rules of thumb regarding how we should argue in debates? We suggest a framework for normative analysis of debates. In our framework, each discussant wants the audience to believe that the actual state coincides with the discussant's...

I survey and discuss the recent literature on testing experts or probabilistic forecasts, which I would describe as a literature on “strategic hypothesis testing” The starting point of this literature is some surprising results of the following type: suppose that a criterion forjudging...

For an increasing upper order hemi-continuous correspondence F selfmapping sigma-complete lattice A, we first provide tight fixed-point bounds for sufficiently large iterations on F starting from any initial point a in A. We use this result for conducting iterative fixed-point comparative...

College admissions in many countries are based on a centrally administered test. Applicants invest a great deal of resources to improve their performance on the test, and there is growing concern about the large costs associated with these activities. We consider modifying such tests by...

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...