We present a synthesis of the various folk theorems for repeated games.

We study the continuous time Brown-Robinson fictitious play process f or non-zero sum games. We show that, in general, fictitious play cannot converg e cyclically to a mixed strategy equilibrium in which both players use more tha n two pure strategies.

We study Bayesian mechanism design in situations where agents' information may be multi-dimensional, concentrating on mechanisms that lead to efficient allocations. Our main result is that a generalization of the well-known Vickrey-Clarke-Groves mechanism maximizes the planner's "revenue'' among...

Motivated by recent auctions of licenses for the radio frequency spec trum, we consider situations where multiple objects are auctioned simultaneousl y by means of a second-price, sealed-bid auction. For some buyers, called globa l bidders, the value of multiple objects exceeds the sum of the...

We study strategic voting in a Condorcet type model in which voters have identical preferences but differential information. Voters incur private costs of going to the polls and may abstain if they wish; hence voting is voluntary. We show that under majority rule with voluntary voting, it is an...

We study first-price auctions in a model with asymmetric, independent private values. Asymmetries lead to inefficient allocations, thereby creating a motive for resale after the auction is over. In our model, resale takes place via monopoly pricing--the winner of the auction makes a...

Perfect equilibria of finitely repeated games may be vulnerable to the possibility of renegotiation among players. The authors study the limiting properties of the set of payoffs from equilibria that are immune to renegotiation. Their main result is th at the limit of the set of payoffs from...