The relaxation of complementary slackness conditions in dynamic general equilibrium models

In this article we propose the description and the rationale of the heuristic approach, which can be used in applied dynamic economic models containing agents' optimization problems. Solution of these problems leads to a system containing differential and algebraic equations, inequalities and complementary slackness conditions. These conditions significantly complicate the analysis of such models even on the calibration stage. In this article we show how the natural assumption of the alternation of regimes, which are defined by a way of complementary slackness conditions resolution, leads to relations which are more regular and convenient from the point of model calibration.