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Fraction-valued Equilibrium for Fraction-valued Bi-matrix Games

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DOI:

https://doi.org/10.31224/8121

Keywords:

fraction-valued bimatrix games, fraction-valued equilibrium

Abstract

Using the well-known result about existence of equilibrium for bi-matrix games, we prove that a fraction-valued bi-matrix game has a fraction-valued equilibrium. Our proof is direct, and simpler than the one using the Lemke-Howson algorithm.

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Author Biographies

Anirban Ghatak, Indian Institute of Management Kozhikode

Member of Economics Area Faculty

Somdeb Lahiri, (Formerly) PD Energy University (EU-G)

I retired on superannuation from PD Energy University in June 2022.

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Posted

2026-08-31 — Updated on 2026-10-06

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Copyright (c) 2026 Somdeb Lahiri, Anirban Ghatak

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Version justification

Anirban Ghatak is the first author and Somdeb Lahiri is the second author