A Terse Primer on Equilibrium of bi-matrix games

<br>We assemble well-known basic results about equilibrium of bi-matrix games along with their proofs, thereby providing a "one-stop" solution for any search for such results. Apart from "Brouwer fixed point theorem" and its one dimensional version- the "Intermediate Value Theorem for Continuous Functions on an interval of the real line"- the mathematics used to prove the results is within the scope of "finite mathematics".

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.29375843.v3
Primary Topic
Optimization and Variational Analysis
Type
article
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A Terse Primer on Equilibrium of bi-matrix games

Figshare
Optimization and Variational Analysis
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A Terse Primer on Equilibrium of bi-matrix games

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Abstract

<br>We assemble well-known basic results about equilibrium of bi-matrix games along with their proofs, thereby providing a "one-stop" solution for any search for such results. Apart from "Brouwer fixed point theorem" and its one dimensional version- the "Intermediate Value Theorem for Continuous Functions on an interval of the real line"- the mathematics used to prove the results is within the scope of "finite mathematics".

Figshare
Openalex Percentile: Top 57%
Optimization and Variational Analysis
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A Terse Primer on Equilibrium of bi-matrix games · Figshare (2025) | TGRS Research Map | TGRS