The expected value of the log of a Bayesian’s posterior assessment of the true state of nature, computed under the probability law of the true state, is always at least as large as the log of the prior.

Many choice-theoretic and game-theoretic applications in Economics invoke some form of supermodularity or increasing differences for objective functions defined on lattices. These notes provide axiomatic foundations for these properties on expected-utility representations of preferences over...

Providing incentives to subjects in internet experiments can be tricky. One simple method is a high score (as in computer games). We test whether high scores provide adequate incentives in comparison to the usual performance based incentives. We find significant differences.