A cooperative game model for the multimodality of coauthorship networks

  • Zheng XieEmail author


This study provided a game model to simulate the evolution of coauthorship networks, which is a geometric hypergraph built on a circle. A fraction of nodes are randomly selected to attach an arc to express their reputation. The cooperation condition of a new node and existing nodes depends on their distance and the existing nodes’ reputation. The condition gives an expression of kin selection and network reciprocity, two typical mechanisms of cooperation. The size of a node’s reputation is expressed by the length of its arc, which is defined by a function of time and hyperdegree. The function describes the heterogeneity in the size of reputation on nodes and that in the fading speed of reputation on hyperdegrees. The model reveals that the heterogeneities can reproduce the dichotomy of node clustering and degree assortativity, as well as the trichotomy of degree and hyperdegree distributions: generalized Poisson, power-law, and exponential cutoff.


Coauthorship network Cooperative game Data modelling 



The author thinks Professor Jinying Su in the National University of Defense Technology and anonymous reviewers for their helpful comments and feedback. This work is supported by the National Natural Science Foundation of China (Grant No. 61773020).


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  1. 1.College of Liberal Arts and SciencesNational University of Defense TechnologyChangshaChina
  2. 2.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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