Models of social and private interests combining with independed agents

The paper is devoted to the investigation of models of social and private interests combining (SPICE-models) with equal independent agents. Existence and uniqueness of Nash and Pareto-optimal equilibria are proved. These equilibria are resource monotonous (RM), but not population monotonous (PM) and anonimous (ANO). The result about ability of system compatibility in the model is obtained.