The "Weakest Link" is a game show full of paradox. To increase the probability of winning, contestants should eliminate the strongest players. Yet, if it is anticipated that the best player is to be eliminated, participants do not answer questions correctly and nothing is gained. We solve a game...

This paper gives a concrete example of a nondictatorial, coalitionally strategyproof social choice function for countably infinite societies. The function is defined for those profiles such that for each alternative, the coalition that prefers it the most is gdescribable.h The gdescribableh...

I am revising my game theory book, which is due at the publisher's September 1, 1999. This is the preface, which discusses changes I have made.

According to the standard definition, a Bayesian agent is one who forms his posterior belief by conditioning his prior belief on what he has learned, that is, on facts of which he has become certain. Here it is shown that Bayesianism can be described without assuming that the agent acquires any...

I am putting together a collection of clippings, journal articles, and original material to accompany my game theory book. It is due at the publisher's September 1, 1999. This is the preface, in which I explain my choice of items to include.

I am putting together a collection of clippings, journal articles, and original material to accompany my game theory book. It is due at the publisher's September 1, 1999. This is the table of contents.

I consider issues in distributed computation that should be of relevance to game theory. In particular, I focus on (a) representing knowledge and uncertainty, (b) dealing with failures, and (c) specification of mechanisms.

Upon observing a signal, a Bayesian decision maker updates her probability distribution over the state space, chooses an action, and receives a payoff that depends on the state and the action taken. An information structure determines the set of possible signals and the probability of each...

A new integral for capacities, different from the Choquet integral, is introduced and characterized. The main feature of the new integral is concavity, which might be interpreted as uncertainty aversion. The integral is then extended to fuzzy capacities, which assign subjective expected values...