Evolution of fairness by self-organized interdependence on interdependent networks

This work aims to study the evolution of fairness on interdependent networks by self-organized interdependence. A player whose current reputation exceeds a threshold are rewarded as a proposer by an external game to a player as a responder belonging to the other population. Yet once the reputation drops below the threshold, the external game is closed. We develop the model in structured populations to study the evolution of fairness. It is found that whenever the reputation is depended on the the times of successful allocation in the role of proposer, the evolution of fairness is favored by the self-organized interdependence. Our study may shed light on the understanding of the origin of the evolution of fairness on interdependent networks.