Strategies and payoffs in quantum minority games

TL;DR

This paper investigates quantum minority games, analyzing how entanglement influences optimal strategies and equilibria in 4, 6, and N-player scenarios, highlighting advantages over classical game solutions.

Contribution

It provides a detailed analysis of equilibrium solutions in quantum minority games with varying entanglement levels, extending to N-player cases.

Findings

Entanglement improves game outcomes compared to classical strategies.

Optimal strategies depend on the level of initial entanglement.

Results demonstrate advantages of quantum over classical minority games.

Abstract

Game theory is the mathematical framework for analyzing strategic interactions in conflict and competition situations. In recent years quantum game theory has earned the attention of physicists, and has emerged as a branch of quantum information theory [1]. With the aid of entanglement and linear superposition of strategies, quantum games are shown to yield signifcant advantage over their classical counterparts. In this paper we explore optimal and equilibrium solutions to quantum minority games. Initial states with different level of entanglement are investigated. Focus will be on 4 and 6 player games with some N-player generalizations.