Frontmatter -- CONTENTS -- Permissions -- Foreword -- Contributor -- An Appreciation -- Contributor -- 1. Equilibrium Points in n-Person Games. PNAS 36 (1950) 48-49. -- 2. The Bargaining Problem. Econometrica 18 (1950) 155-162. -- 3. Non-Cooperative Games. Annals of Mathematics 54 (1951)...

We provide elementary proofs of Scarf's theorem on the non-emptiness of the core and of the K-K-M-S theorem, based.on Kakutani's fixed point theorem. We also show how these proofs can be modified to apply a coincidence theorem of Fan instead of Kakutani's fixed point theorem, for some additional...

This article is connected with the conceptual foundations of the theory of economic competition, as well as with the respective effect of the concept of the new solution, derived from the mathematical theory of games. We will discuss the three main principle of distribution in the economic...