ArticleScientific reports2013
Optimal interdependence between networks for the evolution of cooperation.
Article in Scientific reports, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 47 papers.
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Who cites it
47 citing papers in PubMed.
- Promoters of cooperation in evolutionary games.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Impact of discrepant accumulations strategy on collective cooperation in multilayer networks.Scientific reports · 2024Article
- Human group size puzzle: why it is odd that we live in large societies.Royal Society open science · 2023Article
- Clustering drives cooperation on reputation networks, all else fixed.Royal Society open science · 2023Article
- Prisoner's Dilemma Game with Cooperation-Defection Dominance Strategies on Correlational Multilayer Networks.Entropy (Basel, Switzerland) · 2022Article
- The Polarization of the Coupling Strength of Interdependent Networks Stimulates Cooperation.Entropy (Basel, Switzerland) · 2022Article
- Peer pressure induced punishment resolves social dilemma on interdependent networks.Scientific reports · 2021Article
- Hierarchical effects facilitate spreading processes on synthetic and empirical multilayer networks.PloS one · 2021Article
- Cooperation on Interdependent Networks by Means of Migration and Stochastic Imitation.Entropy (Basel, Switzerland) · 2020Article
- Evolution of cooperation on large networks with community structure.Journal of the Royal Society, Interface · 2019Article
- The use of multilayer network analysis in animal behaviour.Animal behaviour · 2019Article
- Spillover modes in multiplex games: double-edged effects on cooperation and their coevolution.Scientific reports · 2018Article
- Reconstructing complex network for characterizing the time-varying causality evolution behavior of multivariate time series.Scientific reports · 2017Article
- Multilevel Evolutionary Algorithm that Optimizes the Structure of Scale-Free Networks for the Promotion of Cooperation in the Prisoner's Dilemma game.Scientific reports · 2017Article
- Reciprocity in spatial evolutionary public goods game on double-layered network.Scientific reports · 2016Article
- A biologically inspired immunization strategy for network epidemiology.Journal of theoretical biology · 2016Article
- The robustness of multiplex networks under layer node-based attack.Scientific reports · 2016Article
- Utility Evaluation Based on One-To-N Mapping in the Prisoner's Dilemma Game for Interdependent Networks.PloS one · 2016Article
- Article
- Cooperation in group-structured populations with two layers of interactions.Scientific reports · 2015Article
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Recent research has identified interactions between networks as crucial for the outcome of evolutionary games taking place on them. While the consensus is that interdependence does promote cooperation by means of organizational complexity and enhanced reciprocity that is out of reach on isolated networks, we here address the question just how much interdependence there should be. Intuitively, one might assume the more the better. However, we show that in fact only an intermediate density of sufficiently strong interactions between networks warrants an optimal resolution of social dilemmas. This is due to an intricate interplay between the heterogeneity that causes an asymmetric strategy flow because of the additional links between the networks, and the independent formation of cooperative patterns on each individual network. Presented results are robust to variations of the strategy updating rule, the topology of interdependent networks, and the governing social dilemma, thus suggesting a high degree of universality.
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