Center for Economic Research, Department of Economics, University of Minnesota
We 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.
McLennan, A., (1989), "Selected Topics in the Theory of Fixed Points", Discussion Paper No. 251, Center for Economic Research, Department of Economics, University of Minnesota.
Selected Topics in the Theory of Fixed Points.
Center for Economic Research, Department of Economics, University of Minnesota.
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