Journal article

On The Existence Of Mixed Strategy Nash Equilibria

Year:

2014

Published in:

Mathematical Economics
Mixed Strategy Nash Equilibrium
Better-Reply Secure
Diagonally Transfer Continuous
Payoff Security
Uniform Diagonal Security

The focus of this paper is on developing verifiable sufficient conditions for the existence of a mixed strategy Nash equilibrium for both diagonally transfer continuous and better-reply secure games. First, we show that employing the concept of diagonal transfer continuity in place of better-reply security might be advantageous when the existence of a mixed strategy Nash equilibrium is concerned. Then, we study equilibrium existence in better-reply secure games possessing a payoff secure mixed extension. With the aid of an example, we show that such games need not have mixed strategy Nash equilibria. We provide geometric conditions for the mixed extension of a two-person game that is reciprocally upper semicontinuous and uniformly payoff secure to be better-reply secure.

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