Any group of risk neutral agents who hold differing beliefs is vulnerable to money pumps (arbitrage). Thus, the agents may wish to reconcile their beliefs into a new joint belief. We propose a criterion for the choice of reconciled belief based on the notion of ``rate of arbitrage.''' It is...

Any group of risk neutral agents who hold differing beliefs is vulnerable to money pumps (arbitrage). Thus, the agents may wish to reconcile their beliefs into a new joint belief. We propose a criterion for the choice of reconciled belief based on the notion of ``rate of arbitrage.''' It is...

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...

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 study a one-sided offers bargaining game in which the buyer has private information about the value of the object and the seller has private information about his beliefs about the buyer's valuation. We show that this uncertainty about uncertainties dramatically changes the set of outcomes....

We study a one-sided offers bargaining game in which the buyer has private information about the value of the object and the seller has private infromation about his beliefs about the buyer. We show that this uncertainty about uncertainties dramatically changes the set of possible outcomes when...