МОДЕЛЬ СТИМУЛИРУЮЩЕЙ ЗАРАБОТНОЙ ПЛАТЫ КАК ЗАДАЧА ОПТИМАЛЬНОГО УПРАВЛЕНИЯ

Abstract

This articles considers a shirking model under the theory of eficiency contracts, which determines the profile of a worker's individual wages depending on his experience. The profile is a stimulating condition to increase productivity and the period of employment. Certain additional assumtions reduce the model to a nonclassical variational problem or a linear optimal control problem. We prove nonemptiness criteria and the existence of solutions, find necessary and suficient conditions for optimality, give an algorithm to solve the problem, and present the results of simulations. © South Ural State University.