title: Separation of cyclic and starlike hierarchical dominance in evolutionary matrix games.
abstract: 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.
authors.affiliation: Institute of Technical Physics and Materials Science, Centre for Energy Research, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary.
authors.forename: György
authors.initials: G
authors.lastname: Szabó
authors.affiliation: Budapest University of Technology and Economics, Budafoki út 8, H-1111 Budapest, Hungary.
authors.forename: Kinga S
authors.initials: KS
authors.lastname: Bodó
authors.affiliation: Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran.
authors.forename: Keivan Aghababaei
authors.initials: KA
authors.lastname: Samani