Publisher's Synopsis
This monograph is devoted to an interesting class of dynamical systems arising in economic dynamics. Dynamical systems theory has been a rapidly growing area of research which has various applications to physics, engineering, biology and economics. In this theory one of the goals is to study the asymptotic behaviour of the trajectories of a dynamical system. A discrete-time dynamical system is described by a space of states and a sequence of transition operators which can be set-valued. Two types of dynamical systems are considered in the literature: autonomous, with a single transition operator which does not depend on time, and non-autonomous, with transition operators depending on time. In the monograph the authors discuss a number of results concerning this model which were obtained by the author in the last fifteen years. They study the existence of trajectories on which consumption tends to infinity, discuss the existence and structure of optimal solutions and analyse allocations of labour resources. The authors introduce an optimality criterion for the trajectories of the model, establish the existence of optimal trajectories and examine their structure. They consider a multi-product extension of the Makarov model and its extension with expenditures required for reallocation of labour resources.
