The role of quantum entanglement in three players cooperative game

Abstract

Abstract This work explores the application of quantum entanglement to the analysis of cooperative three-player games. The interactions between players influence their behaviour and the overall outcomes of the transferable utility (TU) cooperative game. The mathematical framework employed is the quantum register algebra (QRA), which algebraizes the Dirac formalism. By using QRA, we can simulate the game and explore how different levels of entanglement impact players. This article is part of the theme issue ‘Modern applications of geometric algebra’.