In chaotic modern society, there is an increasing demand for the realization of true 'fairness'. In Greek mythology, Themis, the 'goddess of justice', has a sword in her right hand to protect society from vices, and a 'balance of judgment' in her left hand that measures good and evil. In this study, we propose a fair distribution method 'utilising physics' for the profit in games of characteristic function form. Specifically, we show that the linear programming problem for calculating 'nucleolus' can be efficiently solved by considering it as a physical system in which gravity works. In addition to being able to significantly reduce computational complexity thereby, we believe that this system could have flexibility necessary to respond to real-time changes in the parameter.

翻译：在混乱的现代社会,人们越来越需要实现真正的“公平 ” 。 在希腊神话中, Themis, “ 正义之神” 右手握着一把剑来保护社会免受罪恶的伤害,左手则握着“判断平衡”来衡量善恶。 在这项研究中,我们提出了一个公平的分配方法“利用物理”来换取特殊功能形式的游戏的利润。 具体地说,我们证明计算“ 核克莱洛鲁斯” 的线性编程问题可以通过把它视为一个能起作用的物理系统来有效解决。 除了能够大大降低计算的复杂性之外,我们认为这个系统可以具有必要的灵活性来应对参数的实时变化。