Separation of cyclic and starlike hierarchical dominance in evolutionary matrix games

György Szabó, Kinga S. Bodó, Keivan Aghababaei Samani

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6 Citations (Scopus)


We study antisymmetric components of matrices characterizing pair interactions in multistrategy evolutionary games. Based on the dyadic decomposition of matrices we distinguish cyclic and starlike hierarchical dominance in the appropriate components. In the symmetric matrix games the strengths of these elementary components are determined. The general features and intrinsic symmetries of these interactions are represented by directed graphs. It is found that the variation of a single matrix component modifies simultaneously the strengths of two starlike hierarchical basis games and many other independent rock-paper-scissors type cyclic basis games. The application of the related concepts is illustrated by discussing the three-strategy voluntary prisoner's dilemma.

Original languageEnglish
Article number012320
JournalPhysical Review E
Issue number1
Publication statusPublished - Jan 23 2017


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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