Muhammad Akram Ramadhan Ibrahim, N. Jaini, K.M.N. Ku Khalif
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引用次数: 0
Abstract
The paper aims to suggest the ranking of an optimal solution when there exists more than one Nash equilibrium in the game theory solution concept. Many studies tend to merge the game theory with the multi criteria decision-making (MCDM) method to cater the real-situation problems. In the paper, a novel hybrid non-cooperative static game in game theory is combines with the trade-off ranking (TOR) method in MCDM. The proposed hybrid method is used to rank multiple Nash equilibria concerning some criteria. The methodology for both static game and TOR method are explained in the paper. The game theory model used is a two-player non-constant-sum static game. The proposed methodology is tested using international cooperation in Iran. The result suggests the ranking of the combined strategies using the proposed method.
本文旨在提出博弈论求解概念中存在不止一个纳什均衡时的最优解排序。许多研究倾向于将博弈论与多准则决策(MCDM)方法相结合,以解决现实问题。本文将博弈论中的一种新型混合非合作静态博弈与 MCDM 中的权衡排序(TOR)方法相结合。所提出的混合方法用于对多个纳什均衡方案进行排序。文中解释了静态博弈和 TOR 方法的方法论。使用的博弈论模型是双人非恒和静态博弈。提出的方法利用伊朗的国际合作进行了测试。结果表明,使用建议的方法可以对组合策略进行排序。
期刊介绍:
Pakistan Journal of Statistics and Operation Research. PJSOR is a peer-reviewed journal, published four times a year. PJSOR publishes refereed research articles and studies that describe the latest research and developments in the area of statistics, operation research and actuarial statistics.