Abstract: Vulnerable groups feel deprived and unsatisfied caused by unjust distribution of interests in the development of the human society. More indirect conflicts of interests occur because of the ineffectiveness of the channels of interest expression and the lack of mechanism of the social relief valve. The evolutionary game model about behavior of the government and social groups is established, taking into account the heterogeneity of social group and indirect stakeholders. Behavior logic and strategy equilibrium of heterogeneous group are discussed. Evolutionary scenarios of the behavior of government and social groups are analyzed by means of simulation. Strategies to deal with indirect conflicts of interests are given.