Yannelis, Nicholas C.Prabhakar, N.D.2009-11-242009-11-241983-08yannelis, N.C. and Prabhakar, N.D., (1983), "Existence of Maximal Elements and Equilibria in Linear Topological Spaces", Discussion Paper No. 183, Center for Economic Research, Department of Economics, University of Minnesota.https://hdl.handle.net/11299/55275We present some mathematical theorems which are used to generalize previous results on the existence of maximal elements and of equilibria. Our main theorem in this paper is a new existence proof of an equilibrium in an abstract economy, which is closely related to a previous result of Shafer-Sonnenschein and Borglin-Keiding, but allows for an infinite number of commodities and a countably infinite number of agents.en-USWorking Paper