We propose an evolutionary equation and develop an asymptotic theory that generalize results obtained in Polterovich, Khenkin, 1988. It is shown that, as a result of interaction between innovation and imitation, the shape of the efficiency distribution curve of technologies eventually...

The paper is devoted to investigation of a number of difference-differential equations, among them the following one plays the central role: dFn/dt=φ(Fn)(Fn-1 - Fn) (*) where, for every t, {Fn(t), n = 0, 1, 2, ...} is a probability distribution function, and φ is a positive function on [0, 1]....

This paper studies the evolution of the distribution of firms in the ferrous metals industry by efficiency levels. The proposed model takes into account interaction of processes of creation and adoption of technologies and depreciation of assets. It is shown that the model approximates real data...

We propose a difference-differential equation that reflects interactions between innovation and imitation processes to describe the evolution of the distribution curve of firms by efficiency levels. An explicit solution of this equation is obtained for arbitrary finite initial conditions. It is...

We analyse an overlapping generations economy with two sectors of production: a capital-intensive commodity sector and a labour-intensive services sector. First, we consider an economy with exogenous population and study the effects of a change in the individual preference for old-aged services...

We analyse the steady-state equilibrium dynamics of the conventional overlapping generations economy à la Diamond (1965) with pay-as-you-go public pensions and second period of life divided between working and retirement time in a proportion dependent on the individual health status (a rather...

We offer an analysis of the existence of a positive relationship between minimum wages and economic growth in a simple one-sector overlapping generations economy where the usual Romer-typed knowledge spill-over mechanism in production represents the engine of endogenous growth, in the case of...

This article analyses how long-run pay-as-you-go public pensions react to a change in fertility in the basic overlapping generations model of neoclassical growth. While it would seem well established both in the academic and political debates that the decline in fertility represents a...

By assuming that grandparents take care of grandchildren, in this paper we aim at studying the effects of longevity on economic growth in the basic OLG model with endogenous fertility. We show that a rise in longevity can actually reduce long-run growth. Moreover, we also find that an increasing...

The concepts of absorptive capacity and innovative capability have been introduced to describe abilities of a country to imitate and, accordingly, to create more advanced technologies. In this paper we suggest new indicators of these two abilities. To calculate them, we develop an endogenous...