Pareto strategy of two-person zero-sum game with fuzzy multi-goals

Jin Hui Pang*, Qiang Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The Pareto optimum security strategy is investigated in two-person zero-sum game with fuzzy multi-goals using the concept of fuzzy goal functions as put forwardas by Sakawa. After analyzing the properties related to the Pareto optimum security strategy of fuzzy multi-goals, an approach to the solution of Pareto strategy is proposed. The equivalent conditions, which embody well the fact that the fuzzy preferences of game players impact the final game equilibrium, are proved when the game attains the Pareto optimum security strategy.

Original languageEnglish
Pages (from-to)934-936+940
JournalBeijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume28
Issue number10
Publication statusPublished - Oct 2008

Keywords

  • Fuzzy goals
  • Pareto strategy
  • Two-person zero-sum game

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