Quantum repeated games revisited

TL;DR

This paper introduces a quantum scheme for repeated 2x2 games, demonstrating that quantum strategies can yield results unattainable in classical game theory, with a focus on the Prisoner's Dilemma.

Contribution

It proposes a novel quantum approach to repeated games based on Marinatto and Weber's method, expanding the strategic possibilities beyond classical limitations.

Findings

Quantum strategies produce new outcomes in repeated Prisoner's Dilemma

Quantum approach surpasses classical game results

Provides a framework for quantum repeated game analysis

Abstract

We present a scheme for playing quantum repeated 2x2 games based on the Marinatto and Weber's approach to quantum games. As a potential application, we study twice repeated Prisoner's Dilemma game. We show that results not available in classical game can be obtained when the game is played in the quantum way. Before we present our idea, we comment on the previous scheme of playing quantum repeated games.