The Relaxation of Complementary Slackness Conditions in Dynamic General Equilibrium Models


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We propose a description and explanation of a heuristic approach that can be used in applied dynamic economic models containing agent optimization problems. Solving such problems, we can obtain a system containing differential and algebraic equations, inequalities, and complementary slackness conditions. These conditions significantly complicate the analysis of such models even at the calibration stage. We show that the natural assumption about the alternation of regimes defined by the method of the resolution of the complementary slackness conditions allows us to pass to relations that are more regular and convenient from the point of view of the model’s calibration.

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S. Vasilyev

National Research University Higher School of Economics; Federal Research Center Computer Science and Control, Russian Academy of Sciences; Lebedev Physical Institute, Russian Academy of Sciences

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Email: u4d@yandex.ru
俄罗斯联邦, Moscow; Moscow; Moscow

N. Pilnik

National Research University Higher School of Economics; Federal Research Center Computer Science and Control, Russian Academy of Sciences; Financial Research Institute of the Ministry of Finance of the Russian Federation

Email: u4d@yandex.ru
俄罗斯联邦, Moscow; Moscow; Moscow

S. Radionov

National Research University Higher School of Economics; Federal Research Center Computer Science and Control, Russian Academy of Sciences; Financial Research Institute of the Ministry of Finance of the Russian Federation

Email: u4d@yandex.ru
俄罗斯联邦, Moscow; Moscow; Moscow

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