This note provides an elementary short proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley (K-K-M-S) Theorem based on Brouwer's fixed point theorem. The usefulness of the K-K-M-S Theorem lies in the fact that it can be applied to prove directly Scarf's (1967) Theorem, i.e., any balanced game...

Is the use of fiat money essential in any efficient organization of exchange? We investigate this question in economies that are generalizations of the Townsend (1980) turnpike model that include limited commitment and differential information. We show that in the Townsend turnpike model fiat...

The paper analyzes the properties of cores with differential information, as economies converge to complete information. Two core concepts are investigated: the private core, in which agents' net trades are measurable with respect to agents' private information, and the incentive compatible...

We introduce a general framework in which politicians choose a (possibly infinite) sequence of binary policies. The two competing candidates are exogenously committed to particular actions on a subset of these issues, while they can choose any policy for the remaining issues to maximize their...

Many political commentators diagnose an increasing polarization of the U.S. electorate into two opposing camps. However, in standard spatial voting models, changes in the political preference distribution are irrelevant as long as the position of the median voter does not change. We show that...

Many observers argue that political polarization, particularly on social and cultural issues, has increased in the United States. How does this influence the political competition on economic issues? We analyze this question using a framework in which two officemotivated candidates differ in...