Before revision:  And, by carrying out numerical simulation, we will show that the progressive tax-like norm function (i) does not increase disparity for the distribution of the actions, unlike the other norm functions, and (ii) has high resource productivity and low Gini coefficient , i. e., the progressive tax-like norm function has the highest sustainability and fairness.
After revision:  And, by carrying out numerical simulation, we showed that the progressive tax-like norm function (i) does not increase disparity for the distribution of the actions, unlike the other norm functions, and (ii) has high resource productivity and low Gini coefficient , i. e., the progressive tax-like norm function has the highest sustainability and fairness.