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

التفاصيل البيبلوغرافية
العنوان: A Balance for Fairness: Fair Distribution Utilising Physics in Games of Characteristic Function Form
المؤلفون: Kim, Song-Ju, Takahashi, Taiki, Sano, Kazuo
سنة النشر: 2021
المجموعة: Computer Science
Physics (Other)
Quantitative Finance
مصطلحات موضوعية: Computer Science - Computer Science and Game Theory, Computer Science - Artificial Intelligence, Economics - General Economics, Physics - Physics and Society
الوصف: 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.
Comment: 13 pages, 5 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2101.11496
رقم الأكسشن: edsarx.2101.11496
قاعدة البيانات: arXiv