A unified framework is developed for representation of, and reasoning about dynamic games. A game is described by the subjective knowledge of players at hypothetical situations - the epistemic game form. Subjective knowledge - termed confidence - allows us to replace objective reasoning about...

The subjective framework for reasoning is extended to incorporate the representation of unawareness in games. Both unawareness of actions and decision makers are modeled as well as reasoning about others' unawareness. It is shown that a small grain of uncertainty about unawareness with rational...

We suggest a test for discovering whether a potential expert is informed of the distribution of a stochastic process. In a non-Bayesian non-parametric setting, the expert is asked to make a prediction which is tested against a single realization of the stochastic process. It is shown that by...

We propose a method to test a prediction of the distribution of a stochastic process. In a non-Bayesian, non-parametric setting, a predicted distribution is tested using a realization of the stochastic process. A test associates a set of realizations for each predicted distribution, on which the...

The subjective framework for reasoning is extended to incorporate the representation of unawareness in games. Both unawareness of actions and decision makers are modeled as well as reasoning about others' unawareness. It is shown that a small grain of uncertainty about unawareness with rational...

We consider a cross-calibration test of predictions by multiple potential experts in a stochastic environment. This test checks whether each expert is calibrated conditional on the predictions made by other experts. We show that this test is good in the sense that a true expert--one informed of...

We consider a single indivisible object auctioned in an ascending bid English auction. Two variations of this auction are compared with respect to the seller's revenue. In the first mechanism the participants observe the identity of a bidder that drops from the auction while in the second...