Cooperation on Interdependent Networks by Means of Migration and Stochastic Imitation

Abstract

Evolutionary game theory in the realm of network science appeals to a lot of research communities, as it constitutes a popular theoretical framework for studying the evolution of cooperation in social dilemmas. Recent research has shown that cooperation is markedly more resistant in interdependent networks, where traditional network reciprocity can be further enhanced due to various forms of interdependence between different network layers. However, the role of mobility in interdependent networks is yet to gain its well-deserved attention. Here we consider an interdependent network model, where individuals in each layer follow different evolutionary games, and where each player is considered as a mobile agent that can move locally inside its own layer to improve its fitness. Probabilistically, we also consider an imitation possibility from a neighbor on the other layer. We show that, by considering migration and stochastic imitation, further fascinating gateways to cooperation on interdependent networks can be observed. Notably, cooperation can be promoted on both layers, even if cooperation without interdependence would be improbable on one of the layers due to adverse conditions. Our results provide a rationale for engineering better social systems at the interface of networks and human decision making under testing dilemmas.

Eco-evolutionary dynamics of cooperation in the presence of policing

“…Large-scale cooperative behavior is very common even in simple organisms like bee and ant [16,17], which can form captivating things, such as shaft systems to ventilate their nests. A series of publications [18,19,20,21,22,23,24,25,26,27,28,29,30,31,32] have been produced by the scientific communities across various disciplines for understanding the mechanisms behind the initiation, emergence and promotion of cooperation.…”

“…So, by losing its own identity, free space provides benefit to all other individuals and most importantly, it does not take any form of advantages from others. The role of free space [23,71,72,73,74,75,76] receives a great deal of attention under the framework of evolutionary game theory. But, the interdependency between altruist free space and the social punishment has been largely unexplored in the existing literature.…”

Complex evolutionary dynamics due to punishment and free space in ecological multigames

“…One of such altruistic variables is free space. Lots of earlier investigations deal with free space using the concept of mobility from different perspectives [44][45][46][47][48][49][50][51][52][53][54]. Nevertheless, the explanatory charitable role of free space in the realm of evolutionary game theory has been less explored till now.…”

Patterns of ties in problem-solving networks and their dynamic properties

“…According to this view, self-oriented individuals or groups cooperate and coordinate with each other, despite being driven to make local decisions that aim to achieve their local goals and viewpoints. This perspective is closely related to understanding the emergence of cooperation among selfish individuals—a key problem in biology 20 , 21 , network science 22 , 23 , and the social sciences 24 . In decentralized problem-solving, cooperation among groups is promoted by several communication mechanisms including the creation of shared meaning, high-level goals and views, and common knowledge 4 .…”