Sion and Wolfe (1957) presented a two-person zero-sum game on the unit square without a value. In the present paper, we analyze finite-grid approximations of the Sion-Wolfe game. We find that, as the number of grid points tends to infinity and the payoff function approaches that of the infinite...

Are the serves of the world’s best tennis pros consistent with the theoretical predictions of Nash equilibrium in mixed strategies? We analyze their serve direction choices (to the receiver’s left, right or body) with data from an online database called the Match Charting Project. Using a...

The present paper examines zero-sum games that are based on a cyclic preference relation defined over anonymous actions. For each of these games, the set of Nash equilibria is characterized. When the number of actions is odd, a unique Nash equilibrium is always obtained. On the other hand, in...

This paper is concerned with robust estimation under moment restrictions. A moment restriction model is semiparametric and distribution-free, therefore it imposes mild assumptions. Yet it is reasonable to expect that the probability law of observations may have some deviations from the ideal...