Octonionization of three player, two strategy maximally entangled quantum games

TL;DR

This paper introduces an octonionic framework for representing payoff functions in three-player, two-strategy maximally entangled quantum games, enabling easier analysis and classification of Nash equilibria.

Contribution

It develops a novel octonionic representation of quantum game payoffs, facilitating computational analysis of Nash equilibria in complex quantum games.

Findings

Octonionic representation simplifies payoff calculations.

Enables classification of Nash equilibria.

Provides a new tool for quantum game analysis.

Abstract

We develop an octonionic representation of the payoff function for three player, two strategy, maximally entangled quantum games in order to obtain computationally friendly version of this function. This computational capability is then exploited to analyze and potentially classify the Nash equilibria in the quantum games.