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 ...

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 ...

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.