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A two-person zero-sum game with fractional loss function (1998).
| Content Provider | CiteSeerX |
|---|---|
| Author | Sawasaki, Yoichi Kimura, Yutaka Tanaka, Kensuke |
| Abstract | Abstract In this paper, we investigate a two-person zero-sum game with fractional loss function, which we call the two-person zero-sum fractional game. We are interested in a game value and a saddle point of the two-person zero-sum game and observe that they exist under various conditions. But, in many cases, it seems to be difficult to search directly for a game value and a saddle point of the fractional game. Thus, we study the existence and the properties of a game value and a saddle point for the game with the loss function including a parameter, which we call the two-person zero-sum parametric game. We show that, under various conditions, a game value and a saddle point of the parametric game with a special parameter are those of the fractional game. 1. |
| File Format | |
| Publisher Date | 1998-01-01 |
| Access Restriction | Open |
| Subject Keyword | Game Value Saddle Point Various Condition Fractional Game Two-person Zero-sum Game Many Case Loss Function Fractional Loss Function Parametric Game Two-person Zero-sum Fractional Game Two-person Zero-sum Parametric Game Special Parameter |
| Content Type | Text |
