Quantum games on evolving random networks

TL;DR

This paper investigates how quantum strategies can influence evolutionary social dilemmas on dynamic networks, showing quantum advantages in certain game scenarios and parameter regions.

Contribution

It introduces the application of quantum strategies to evolving random networks in social dilemmas, highlighting their benefits and coexistence with classical strategies.

Findings

Quantum strategies improve outcomes in the prisoner's dilemma.

Quantum strategies dominate in specific parameter regions for snowdrift and stag-hunt.

Classical and quantum strategies coexist depending on network parameters.

Abstract

We study the advantages of quantum strategies in evolutionary social dilemmas on evolving random networks. We focus our study on the two-player games: prisoner's dilemma, snowdrift and stag-hunt games. The obtained result show the benefits of quantum strategies for the prisoner's dilemma game. For the other two games, we obtain regions of parameters where the quantum strategies dominate, as well as regions where the classical strategies coexist.