Evolution of cooperation on independent networks: The influence of asymmetric information sharing updating mechanism

Abstract In realistic social systems, there exists multiple networks which are influenced by each other with different level of impacts. Inspired by this, we thus study the evolution of public cooperation on two interdependent networks that are connected by means of an asymmetric information sharing updating function, which can construct the interdependent networks in two different classes in order to simulate asymmetric influence of multiple networks which exist in from bacteria to animals as well as human societies. Interestingly, we find that interdependence by means of asymmetric information sharing function can dramatically promote the evolution of cooperation by restraining negative feed-back effect to provide a better environment for cooperators to mushroom. The result shows that the stronger the level of asymmetry, the higher the level of cooperation. And we further inquiry why this asymmetric information sharing updating mechanism can strikingly promote the cooperation in the upper network and find that the value of combined Fermi–Dirac Function of defector in the upper network is relatively larger than the original Fermi–Dirac Function, which can eventually lead to the fraction of cooperation to one in the upper network. Our work can reveal some essential principles in asymmetric interdependent networks that ubiquitously exists in biological and human social systems.

[1]  Lin Wang,et al.  Noise-induced enhancement of network reciprocity in social dilemmas , 2013, 1303.1959.

[2]  W. Hamilton,et al.  The Evolution of Cooperation , 1984 .

[3]  Chen Chu,et al.  Coevolution of Vertex Weights Resolves Social Dilemma in Spatial Networks , 2017, Scientific Reports.

[4]  Lin Wang,et al.  Evolutionary games on multilayer networks: a colloquium , 2015, The European Physical Journal B.

[5]  Jürgen Kurths,et al.  Onymity promotes cooperation in social dilemma experiments , 2017, Science Advances.

[6]  Francisco C. Santos,et al.  Social norm complexity and past reputations in the evolution of cooperation , 2018, Nature.

[7]  Lin Wang,et al.  Characterizing the dynamics underlying global spread of epidemics , 2018, Nature Communications.

[8]  H. Stanley,et al.  Networks formed from interdependent networks , 2011, Nature Physics.

[9]  Rui-Wu Wang,et al.  Diffusive coevolution and mutualism maintenance mechanisms in a fig-fig wasp system. , 2010, Ecology.

[10]  D. Fudenberg,et al.  Emergence of cooperation and evolutionary stability in finite populations , 2004, Nature.

[11]  Chen Shen,et al.  Does coevolution setup promote cooperation in spatial prisoner's dilemma game? , 2016, Appl. Math. Comput..

[12]  B. Drossel.  Biological evolution and statistical physics , 2001, cond-mat/0101409.

[13]  Torsten Röhl,et al.  Extortion subdues human players but is finally punished in the prisoner’s dilemma , 2014, Nature Communications.

[14]  M. Nowak,et al.  TRANSFORMING THE DILEMMA , 2007, Evolution; international journal of organic evolution.

[15]  G. Szabó,et al.  Cooperation enhanced by inhomogeneous activity of teaching for evolutionary Prisoner's Dilemma games , 2006, q-bio/0610001.

[16]  Leibo Liu,et al.  Stochastic Analysis of Multiplex Boolean Networks for Understanding Epidemic Propagation , 2018, IEEE Access.

[17]  Marcus Frean.  The prisoner’s dilemma without synchrony , 1994, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[18]  Attila Szolnoki,et al.  Leaders should not be conformists in evolutionary social dilemmas , 2016, Scientific Reports.

[19]  Xiaoping Zheng,et al.  Cooperative behavior evolution of small groups on interconnected networks , 2015 .

[20]  M. Nowak.  Five Rules for the Evolution of Cooperation , 2006, Science.

[21]  Josef Hofbauer,et al.  Evolutionary Games and Population Dynamics , 1998 .

[22]  Harry Eugene Stanley,et al.  Catastrophic cascade of failures in interdependent networks , 2009, Nature.

[23]  Xiaoping Li,et al.  Asymmetric evaluation promotes cooperation in network population , 2017 .

[24]  S. Kokubo,et al.  Universal scaling for the dilemma strength in evolutionary games. , 2015, Physics of life reviews.

[25]  M. Perc,et al.  Social diversity and promotion of cooperation in the spatial prisoner's dilemma game. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  Yangming Guo,et al.  Analysis of epidemic spreading process in multi-communities , 2018, Chaos, Solitons & Fractals.

[27]  Weihua Gui,et al.  Heterogeneous cooperative belief for social dilemma in multi-agent system , 2018, Appl. Math. Comput..

[28]  Harry Eugene Stanley,et al.  Robustness of interdependent networks under targeted attack , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  M. Nowak,et al.  Partners and rivals in direct reciprocity , 2018, Nature Human Behaviour.

[30]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[31]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[32]  S. Havlin,et al.  Interdependent networks: reducing the coupling strength leads to a change from a first to second order percolation transition. , 2010, Physical review letters.

[33]  Miles Hewstone,et al.  'Us meeting them': Intergroup contact, intergroup anxiety and the reduction of prejudice , 2000 .

[34]  J. M. Smith,et al.  Optimality theory in evolutionary biology , 1990, Nature.

[35]  Chunhua Yang,et al.  Understanding cooperative behavior of agents with heterogeneous perceptions in dynamic networks , 2018, Physica A: Statistical Mechanics and its Applications.

[36]  M. Nowak,et al.  Evolutionary games and spatial chaos , 1992, Nature.

[37]  M. Perc,et al.  Aspiration-based coevolution of link weight promotes cooperation in the spatial prisoner's dilemma game , 2018, Royal Society Open Science.

[38]  Huijia Li,et al.  Punishment diminishes the benefits of network reciprocity in social dilemma experiments , 2017, Proceedings of the National Academy of Sciences.

[39]  M. Nowak,et al.  Evolutionary game dynamics with non-uniform interaction rates. , 2006, Theoretical population biology.

[40]  Jörgen W. Weibull,et al.  Evolutionary Game Theory , 1996 .

[41]  Attila Szolnoki,et al.  Interdependent network reciprocity in evolutionary games , 2013, Scientific Reports.

[42]  Harry Eugene Stanley,et al.  Assortativity Decreases the Robustness of Interdependent Networks , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  Beom Jun Kim,et al.  Dynamic instabilities induced by asymmetric influence: prisoners' dilemma game in small-world networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.