Communication aspects of a three-player Prisoner's Dilemma quantum game

TL;DR

This paper introduces a quantization scheme for a three-player Prisoner's Dilemma game, highlighting the role of entanglement in payoffs and exploring how players' strategies serve as information carriers in quantum communication.

Contribution

It presents a novel quantization approach for a three-player game and analyzes how entanglement influences payoffs and communication among players.

Findings

Entanglement significantly affects payoffs in the quantum game.

Four types of payoffs are identified based on entanglement parameters.

Player strategies act as carriers of information in the quantum setting.

Abstract

We present a quantization scheme for a three-player Prisoner's Dilemma game. It is shown that entanglement plays a dominant role in the three-player quantum game. Four different types of payoffs are identified on the basis of different combinations of initial state and measurement basis entanglement parameters. A relation among these different payoffs is also established. We also study the communication aspects of the three-player game. By exploiting different combinations of initial state and measurement basis entanglement parameters, we establish a relationship for the information shared among the parties. It is seen that the strategies of the players act as carriers of information in quantum games.