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Risk aversion pays in the class of 2 x 2 games with no pure equilibrium.

Publication at Faculty of Social Sciences, Faculty of Mathematics and Physics, Centre for Economic Research and Graduate Education |
2003

Abstract

Simulations indicated that, in the class of 2 x 2 games which only have a mixed equilibrium, payoffs are increased by risk aversion compared to risk neutrality. In this paper I show that the total expected payoff to a player over this class in equilibrium is indeed higher if this player is risk averse than if he is risk neutral provided that all games are played with the same probability.