We offer a new, succinct proof that the money metric utility is concave for any preference relation representable by a concave function if and only if the indirect utility is affine in wealth. The proof exploits the existence of a least concave representation established in Debreu (1976), a...

The purpose of this monograph is to study several solution concepts such as the Walrasian Equilibrium, the Pareto opti- mality, the Core, the Nash Equilibrium and the Correlated equilibrium in the context of an infinite dimensional commodity or strategy space. Of course, the study of the above...