Multi-Objective Programming and Goal Programming pp 141-146 | Cite as
On Minimax and Maximin Values in Multicriteria Games
Conference paper
Abstract
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.
Keywords
Game Theory Payoff Function Efficient Point Minimax Theorem Order Vector Space
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