Equilibrium Point in Quantum Physics and its Inspiration to Game Theory

Abstract

Most of atoms and molecule found in nature are capable of evolving towards and staying at their ground states, the lowest energy states. This paper offers a global optimization approach to understand the ground state as the equilibrium point of an $n$-player game under cooperation. With the same approach, Nash equilibrium can be viewed as the equilibrium point under competition. The former can offer higher payoffs and stability of game playing than the later. It is truly an inspiration from nature for us to build societies for quality and stability under cooperation rather than competition.