The Ultimate Solution to the Quantum Battle of the Sexes game

TL;DR

This paper provides a definitive quantum solution to the Battle of the Sexes game using Marinatto and Weber's scheme, addressing prior criticisms and establishing an optimal outcome.

Contribution

It introduces a unique quantum solution within Marinatto and Weber's framework, clarifying previous debates and limitations.

Findings

Identifies the optimal quantum strategy for the game.

Addresses and counters prior criticisms of quantum game solutions.

Establishes a definitive quantum equilibrium for the game.

Abstract

We present the unique solution to the Quantum Battle of the Sexes game. We show the best result which can be reached when the game is played according to Marinatto and Weber's scheme. The result which we put forward does not surrender the criticism of previous works on the same topic.