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...

This paper proves that there is a similar Uzawa (1961) steady-state growth theorem in a Malthusian model: If that model possesses steady-state growth, then technical change must be purely land-augmenting and cannot include labor augmentation.

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...

The celebrated Uzawa(1961) theorem holds that，on the steady-growth path of neoclassical growth model，technological progress must be purely labor-augmenting rather than capital-augmenting，except the special case where the production function takes the form of Cobb-Douglas. With an augmented...

Taking into account the adjustment costs of investment, this paper proves that it is not the neoclassical growth model itself but the specific form of capital accumulation function that requires technical change to exclusively be Harrod neutral in steady state. Uzawa’s(1961)steady-state growth...

Since the publication of Uzawa(1961), it has been widely accepted that technical change must be purely labor-augmenting for a growth model to exhibit steady-state path. But in this paper, we argue that such a constraint is unnecessary. Further, our model shows that, as long as the sum of the...