Pure Strategy Nash Equilibrium Points and the Lefschetz Fixed Point Theorem
1975-09
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Pure Strategy Nash Equilibrium Points and the Lefschetz Fixed Point Theorem
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1975-09
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Center for Economic Research, Department of Economics, University of Minnesota
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Working Paper
Abstract
A pure strategy Nash equilibrium point existence theorem is established
for a class of n-person games with possibly nonacyclic (e.g.,
disconnected) strategy spaces. The principal tool used in the proof
is a Lefschetz fixed point theorem for multivalued maps which extends
the well known "Eilenberg-Montgomery fixed point theorem" to nonacyclic
spaces. Special cases of the existence theorem are also discussed.
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Discussion Paper
60
60
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Tesfatsion, L., (1975), "Pure Strategy Nash Equilibrium Points and the Lefschetz Fixed Point Theorem", Discussion Paper No. 60, Center for Economic Research, Department of Economics, University of Minnesota.
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Tesfatsion, Leigh. (1975). Pure Strategy Nash Equilibrium Points and the Lefschetz Fixed Point Theorem. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/54812.
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