  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.
