On Nash equilibria in Eisert-Lewenstein-Wilkens game

TL;DR

This paper analyzes the classification of mixed Nash equilibria in the maximally entangled ELW quantum game, emphasizing symmetries, and determines the equilibria for the original game.

Contribution

It provides a detailed analysis of Nash equilibria classification in the ELW game, highlighting the role of symmetries and explicitly determining the equilibria for the original setup.

Findings

Classification of mixed Nash equilibria using Landsburg's method.

Identification of symmetries in the ELW game.

Explicit determination of Nash equilibria for the original ELW game.

Abstract

Landsburg method of classifying mixed Nash equilibria for maximally entangled Eisert-Lewenstein-Wilkens (ELW) game is analyzed with special emphasis on symmetries inherent to the problem. Nash equilibria for the original ELW game are determined.