This paper reports the results of an experimental study of playing a simple 2×2 non-zero sum game with asymmetrical payoff function. Subjects make decisions about their estimation for their opponent, and then each of them chooses a strategy after their roles are changed at random. As a result, steady states which subjects estimates are quite different from those predicted by the Nash equilibrium theory. Through comparative analysis, it is found that the selections of strategies are related to others’ payoff as well as subjects’ own return. And what is more, the subjects’ risk attitudes influence the choice of game.