A problem of purpose resource use in two-level control systems

The system including two level players — top and bottom — is considered in the paper. Each of the players have public (purpose) and private (non-purpose) interests. Both players take part of payoff from purpose resource use. The model of resource allocation among the purpose and non-purpose using is investigated for different payoff function classes and for three public gain distribution types. A problem is presented in the form of hierarchical game where the Stackelberg equilibrium is found.