The theory of incomplete contracts has been recently questioned using or extending the subgame perfect implementation approach of Moore and Repullo (1988). We consider the robustness of this mechanism to the introduction of small amounts of asymmetric information. Our main result is that the...

Stochastic fictitious play (SFP) assumes that agents do not try to influence the future play of their current opponents, an assumption that is justified by appeal to a setting with a large population of players who are randomly matched to play the game. However, the dynamics of SFP have only...

We examine the role of off-path "superstitions" in macro-economics, and show how a false belief about off-path play is the key element underlying both the Lucas Critique and the game-theoretic concept of self-confirming equilibrium. However, the impact of false beliefs in these two cases is...

This note discusses functions over lotteries that are concave and continuous, but not necessarily superdifferentiable. Machina [1984] and Maccheroni [2002]’s analyses of utility functions over lotteries and the statement of Theorem 2 in Frankel and Kamenica [2019]’s proposed measure of...

This paper studies the effect of randomness in per-period matching on the long-run outcome of non-equilibrium adaptive processes. If there are many matchings between each strategy revision, the randomness due to matching will be small; our question is when a very small noise due to matching has...

We show that the probability that Bayesian posteriors assign to the outcome distributions that do not ``best fit'' the empirical distribution in terms of Kullback-Leibler divergence converges to zero at a uniform and exponential rate, even when the prior does not have full support. This extends...