Abstract :
An acyclic version of the social equilibrium existence theorem of Debreu [1] is obtained. This is applied to deduce acyclic versions of theorems on saddle points, minimax theorems, and the Nash equilibrium.
Keywords :
Nash equilibrium , saddle point , closed map , multimap (map) , Lower semicontinuous (l.s.c.) , Bergeיs theorem , Polyhedron , Acyclic , Upper semicontinuous (u.s.c.) , Equilibrium point , Minimax theorem
