The role of self-loops and link removal in evolutionary games on networks

Dario Madeo, Chiara Mocenni, Jean Carlo Moraes, Jorge P. Zubelli

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Recently, a new mathematical formulation of evolutionary game dynamics [1] has been introduced accounting for a finite number of players organized over a network, where the players are located at the nodes of a graph and edges represent connections between them. Internal steady states are particularly interesting in control and consensus problems, especially in a networked context where they are related to the coexistence of different strategies. In this paper we consider this model including self-loops. Existence of internal steady states is studied for different graph topologies in two-strategy games. Results on the effect of removing links from central players are also presented.

Original languageBritish English
Pages (from-to)5287-5306
Number of pages20
JournalMathematical Biosciences and Engineering
Issue number5
StatePublished - 2019


  • Competition
  • Connectivity of networks
  • Cooperation
  • Equilibrium states
  • Evolutionary game theory
  • Games on graphs
  • Games on networks
  • Self-loops on graphs


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