Cooperative quantum Parrondo's games

TL;DR

This paper explores cooperative quantum Parrondo's games using quantum random walks and entangled states, revealing paradoxical behaviors and phenomena in quantum game theory.

Contribution

It introduces a quantum model of cooperative Parrondo's games utilizing multidimensional quantum walks and entangled initial states, highlighting novel paradoxical effects.

Findings

Observation of paradoxical phenomena in quantum cooperative games

Demonstration of effects of GHZ and W entangled states on game outcomes

Insight into quantum cooperation dynamics in social network models

Abstract

Coordination and cooperation are among the most important issues of game theory. Recently, the attention turned to game theory on graphs and social networks. Encouraged by interesting results obtained in quantum evolutionary game analysis, we study cooperative Parrondo's games in a quantum setup. The game is modeled using multidimensional quantum random walks with biased coins. We use the GHZ and W entangled states as the initial state of the coins. Our analysis shows than an apparent paradox in cooperative quantum games and some interesting phenomena can be observed.