A Class of Sequential Games

Abstract

This paper considers a game between two players who choose from a collection of objects. The players make their choices alternately and V i , j represents the value or amount that the i th player will gain if he selects the j th object. In relation to these values, the players may have various strategies or approaches to the game, and each of them constitutes a distinct theoretical problem. The paper formulates and solves three of these problems, each one having practical significance (for example, for the draft of professional football players).