Existence of sparsely supported correlated equilibria
Fabrizio Germano and Gábor Lugosi
Economic Theory Volume to appear, pp. 00-00, 2006.

## Abstract

We show that every $N$-player $K_1 \times \cdots \times K_N$ game possesses a correlated equilibrium with at least $\prod_{i=1}^{N} K_i -1 - \sum_{i=1}^{N} K_i (K_i -1)$ zero entries. In particular, the largest $N$-player $K \times \cdots \times K$ games with unique fully supported correlated equilibrium are two-player games.