A model of economic dynamics with discrete innovations. (Q1875004)

This paper discusses a new type of dynamical systems which arise in the study of economic models that take technological progress into account. The state of the economy is determined by a set of operating technologies, the collection of funds corresponding to these technologies, and a set of known but as yet not implemented technologies. To introduce a new technology, expenditures of the already utilized types of founds are required. As a result of these expenditures, the new technology at the next instant of time will be introduced into action with a certain initial reserve of the new funds. For this model the author studies the existence of trajectories on which consumption tends to infinity, dicusses the existence and structure of optimal solutions, and analyzes allocations of labor resources.