A game-theoretical Specification of static Optimization Problems for the first-order Lag Models of macroeconomic Dynamics

A transition problem from the models of macroeconomic dynamics in the form of lag element of the first order to the eventual number of models of static optimization is studied. As a dynamic model the model of investment development (type Solow) is considered, and as static is model of the optimum distributing of foreign investments in the two-of particular a branch open macroeconomic system. The main instrument of specification and authentication of static optimization models is the vehicle of static game theory and mathematical programming.