On Minimax and Maximin Values in Multicriteria Games

摘要

The paper is concerned with a multicriteria game whose payoff takes its values in an ordered vector space. As compare with usual single-criterion games, useful results in such classical games do not always hold as to multicriteria games. For example, minimax and maximin values are coincident under certain conditions in usual single-criterion games, but their values are not always coincident under similar conditions in multicriteria games. Therefore, in this paper, we propose a certain coincidence condition on minimax and maximin values under suitable setting in multicriteria games.