Nash equilibria via duality and homological selection

Authors

Arnab Basu

Document Type

Article

Publication Title

Proceedings of The indian Academy of Sciences: Mathematical Sciences

Abstract

Given a multifunction from X to the k-fold symmetric product Sym k (X), we use the Dold–Thom theorem to establish a homological selection theorem. This is used to establish existence of Nash equilibria. Cost functions in problems concerning the existence of Nash equilibria are traditionally multilinear in the mixed strategies. The main aim of this paper is to relax the hypothesis of multilinearity. We use basic intersection theory, Poincaré duality in addition to the Dold–Thom theorem.

DOI Link

https://doi.org/10.1007/S12044-014-0206-3

Publication Date

1-4-2014

Publisher

Indian Academy Of Sciences

Volume

Vol.124

Issue

Iss.4

Recommended Citation

Basu, Arnab, "Nash equilibria via duality and homological selection" (2014). Faculty Publications. 1764.
https://research.iimb.ac.in/fac_pubs/1764