Strictly-Signed-Diagonal Pay-off Matrix Based Bi-Matrix Games

Abstract

We consider four types of games that together comprise “strictly-signed-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 entries along the diagonal having sign exactly opposite to the sign of the diagonal entries in the pay-off matrix of the row player, then the “unique completely mixed” equilibrium is also the “unique equilibrium”.