Effects of proportion of metanorm players on establishment of norm

The authors introduce a mutual choice mechanism into the norms game instead of direct penal regulation and reformulate the norms game with mutual choice. In order to examine how the proportion of metanorm players to all players influences the establishment of norm in the metanorms game with mutual choice, we perform simulation with several different proportions of metanorm players. We exclude the game theoretic assumption of uniformity as the metanorm player and observe the frequency of the establishment of the norm. As a result, we confirm the robustness of mutual choice against insufficiency of metanorm players.