Two fundamental problems about finite pure harmonic games are investigated in this paper. First, the pure Nash equilibrium of finite pure harmonic games (PHGs) is investigated. For the basis games, the number and precise forms of Nash equilibria are presented. For two-player pure harmonic games, the structure of games with pure Nash equilibrium is revealed. Second, the dynamical equivalence to basis games has been discussed for evolutionary pure harmonic games. A necessary and sufficient condition is obtained.
['Changxi Li', 'Ting Liu', 'Fenghua He', 'Daizhan Cheng', 'Hongsheng Qi', 'Yiguang Hong']
On finite harmonic games