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Positive-Diagonal Pay-off Matrix Based Bi-Matrix Games

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DOI:

https://doi.org/10.31224/6659

Keywords:

positive-diagonal pay-off matrix, bi-matrix game, equilibrium, completely mixed

Abstract

We consider two types of games that together comprise “positive-diagonal pay-off matrix based bi-matrix games” and for each type we provide explicit formulas for the “unique completely mixed” equilibrium that we prove the existence of. If the pay-off matrix of the column player is a diagonal matrix with negative entries along the diagonal, then the “unique completely mixed” equilibrium is also the “unique equilibrium”.

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Author Biography

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

I retired on superannuation as Professor of Economics from PD Energy University (PDEU) on June 5, 2022.

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Posted

2026-03-20

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Copyright (c) 2026 Somdeb Lahiri

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