INSTITUTE FOR DEFENSE ANALYSES ALEXANDRIA VA PROGRAM ANALYSIS DIV
Pagination or Media Count:
This paper defines two subsets of noncooperative, finite, two-person bimatrix games. The first subset, called antagonistic games, consists of bimatrix games in which if one player does better, the other player necessarily must do worse where better and worse are determined by comparing the payoffs that result from playing two alternative pairs of actions. Zero-sum games form a proper subset of antagonistic games the distinction is that for zero-sum games, when one player does better the other must do worse by the same amount. The second subset considered, called strength-ratio games, is the subset of antagonistic games that has the additional property that if both players play pure strategies, then the payoff to one player is the inverse of the payoff to the other player.
- Operations Research
- Military Operations, Strategy and Tactics