A TWO-PERSON ZERO-SUM GAME WITH FRACTIONAL LOSS FUNCTION

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概要

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• 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.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Tanaka K

  Niigata University

• Tanaka Kensuke

  Department Of Applied Biological Chemistry Graduate School Of Agricultural And Life Sciences The Uni

• Sawasaki Yoichi

  Niigata University

• Kimura Yutaka

  Niigata University

• Tanaka Kensuke

  Niigata University

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• A TWO-PERSON ZERO-SUM GAME WITH FRACTIONAL LOSS FUNCTION

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