Pure Strategy Nash Equilibrium Points and the Lefschetz Fixed Point Theorem

Loading...
Thumbnail Image

View/Download File

Persistent link to this item

Statistics
View Statistics

Journal Title

Journal ISSN

Volume Title

Title

Pure Strategy Nash Equilibrium Points and the Lefschetz Fixed Point Theorem

Published Date

1975-09

Publisher

Center for Economic Research, Department of Economics, University of Minnesota

Type

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.

Keywords

Description

Related to

Replaces

License

Series/Report Number

Discussion Paper
60

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

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.

Other identifiers

Suggested citation

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.

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.