文章基本信息
- 标题：From Computing Sets of Optima, Pareto Sets, and Sets of Nash Equilibria to General Decision-Related Set Computations
- 作者：Vladik Kreinovich ; Bartlomiej Jacek Kubica
- 期刊名称：Journal of Universal Computer Science
- 印刷版ISSN：0948-6968
- 出版年度：2010
- 卷号：16
- 期号：18
- 页码：2657-2685
- 出版社：Graz University of Technology and Know-Center
- 摘要：Several algorithms have been proposed to compute sets of optima, Pareto sets, and sets of Nash equilibria. In this paper, we present a general algorithm for decision-related set computations that includes all these algorithms as particular cases.
To make our algorithm understandable to people working in optimization and in game theory, we also provide motivations and explanations for our formalizations of the corresponding problems and for the related notions of computable mathematics.
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