McLennan, Andrew2009-12-082009-12-081989-12McLennan, A., (1989), "Selected Topics in the Theory of Fixed Points", Discussion Paper No. 251, Center for Economic Research, Department of Economics, University of Minnesota.https://hdl.handle.net/11299/55530We present a treatment for mathematical economists of three topics in the theory of fixed points: (a) the Lefschetz fixed point index; (b) the Lefschetz fixed point theorem; (c) the theory of essential sets of fixed points. Our treatment is geometric, based on elementary techniques, and largely self-contained. In particular there is no essential reference to algebraic topology. Within the chosen scope of the paper the results are at the level of generality of the mathematical literature. The development of these theories for correspondences is emphasized. It emerges that the solution concepts of Kohlberg and Mertens (1986) have a definite, though obscure, place in this theory.en-USWorking Paper