Quantum games on evolving random networks

•Quantum social dilemmas on evolving random networks are studied.•The influence of the game parameters on strategy distribution is analyzed.•Results show that quantum strategies dominate the network in most cases.

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.