On the justification of applying quantum strategies to the Prisoners' Dilemma and mechanism design

TL;DR

This paper explores the application of quantum strategies to the Prisoners' Dilemma, categorizing its types and highlighting mechanism design as a more suitable context for quantum approaches.

Contribution

It classifies Prisoners' Dilemma into three types and demonstrates that only one type supports quantum strategies, also showing mechanism design as a better framework for quantum game theory.

Findings

Only the third type of Prisoners' Dilemma supports quantum strategies

Mechanism design offers a more favorable environment for quantum strategies than traditional game theory

The paper provides a categorization of Prisoners' Dilemma types

Abstract

The Prisoners' Dilemma is perhaps the most famous model in the field of game theory. Consequently, it is natural to investigate its quantum version when one considers to apply quantum strategies to game theory. There are two main results in this paper: 1) The well-known Prisoners' Dilemma can be categorized into three types and only the third type is adaptable for quantum strategies. 2) As a reverse problem of game theory, mechanism design provides a better circumstance for quantum strategies than game theory does.