Quantum Duels

Abstract

Quantum Game Theory is the merging of Quantum Mechanics and Game Theory. In this article we are going to study the modeling of the struggle to survive against several agents, known as duels. We will present the classical version of the problem and we will formalize the quantum version for two players, studying the best strategies that can be adopted depending on the desired result. Since quantum entanglement allows players to revive, we will also analyze the suitability of different counter-intuitive strategies for players, such as shooting into the air or even shooting themselves. Finally we will see how to generalize this formalism for three players