Equilibrium Point in Quantum Physics and its Inspiration to Game Theory

TL;DR

This paper proposes a global optimization framework linking quantum ground states to game theory equilibria, highlighting how cooperation can lead to more stable and higher payoff outcomes than competition.

Contribution

It introduces a novel perspective connecting quantum physics and game theory, demonstrating how ground states and Nash equilibria can be viewed as equilibrium points in cooperative and competitive games.

Findings

Ground states correspond to equilibrium points in cooperative games.

Nash equilibrium is an equilibrium point under competition.

Cooperative strategies can yield higher payoffs and stability.

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.