Firm dynamics in the Melitz-type models

Based on the well-known model of monopolistic competition by Melitz with finite number of firms, we built a number of dynamic models, designed to clarify the dynamic behavior of the original construction. Two variants of a formal Melitz dynamic model are presented, with the quasi-steady state found in one of them. Also, the models with the creation of new firms at the expense of labor and product are presented. We found that in the latter, under certain conditions on the parameters of the economy there is a superexponential growth. We calculate the equilibrium states of models and compare them.