A Balance for Fairness: Fair Distribution Utilising Physics in Games of Characteristic Function Form

Song-Ju Kim, Taiki Takahashi and Kazuo Sano

Papers from arXiv.org

Abstract: 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.

Date: 2021-01, Revised 2021-02
New Economics Papers: this item is included in nep-gth and nep-hme
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