Existence theorems constitute a fundamental pillar in the study of game theory and exchange economies. These theorems rigorously establish the conditions under which equilibria or stable outcomes ...

Proceedings of the American Mathematical Society, Vol. 80, No. 3 (Nov., 1980), pp. 451-454 (4 pages) We show that a variational method proposed by Ī. Ī. Daniljuk for proving the existence of free ...

Let $(w_1, w_2, w_3)$ be an ordered triple of real numbers such that $w_1 + w_2 + w_3 = 1$. Let $g$ be a real-valued function on the entire real axis which is of ...

Citations: Satterthwaite, Mark. 1975. Strategy-Proofness and Arrow's Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions. Journal of Economic Theory.