基于模糊Banzhaf权力指数的投票权研究
Research on Voting Rights Based on Fuzzy Banzhaf Power Index

权力指数被视为衡量合作博弈中局中人实际权力的有效工具，得到了众多学者的认可和重视。本文应用模糊Banzhaf权力指数探讨了局中人的联盟程度对局中人投票权的影响。首先依据Tsurumi定义的方法和模糊数学相关理论，重新定义了局中人的模糊股权函数，然后把模糊Banzhaf权力指数应用到阿里合伙人模式的实例中，最后对比原阿里合伙人模式中的实际权力指数。分析表明，局中人的联盟程度会影响联盟成功与否，并最终改变每个局中人的Banzhaf权力指数。
The power index is regarded as an effective tool to measure the actual power of the players in the cooperative game, and has been recognized and valued by many scholars. This paper applies the fuzzy Banzhaf power index to explore the influence of the degree of alliance of the players on the voting rights of the players. Firstly, according to the method defined by Tsurumi and the theory of fuzzy mathematics, the fuzzy equity function of the player is redefined. Then, the fuzzy Banzhaf power index is applied to the example of Ali partner model. Finally, the actual power index in the original Ali partner model is compared. The analysis shows that the degree of alliance of the players will affect the success of the alliance, and ultimately change the Banzhaf power index of each player.