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 explores a two-sector model of endogenous growth with AK technologies and production externalities. Unlike the standard one-sector AK model, the two-sector model may involve the relative price dynamics, so that there may exist transitional processes. It is shown that under certain...

This paper studies a two-sector model of endogenous technical change in which expansion of each production sector is associated with sector-specific R&D investment. It is shown that the pattern of growth is sensitive to the specification of intersectoral technological spillover as well as to the...

By examining two-sector models of endogenous growth with physical and human capital, this paper demonstrates that indeterminacy of equilibrium may emerge even in the absence of social increasing returns. The first model we examine assumes that both final good and new human capital production...

Using an endogenous growth model with physical and human capital, we explore short-run as well as long-run effects of fiscal policy in the presence of households' production activities. We first show that our model has a unique balanced-growth path that satisfies saddlepoint stability. We then...

This paper explores the effect of monetary policy on the speed of convergence. Using a neoclassical monetary growth model with a cash-in-advance constraint, we conduct numerical evaluation of the effect of changes in the growth rate of money supply on the converging speed of the economy. We find...

This paper extends the standard overlapping generations model of capital accumulation by introducing consumption externalities. It is assumed that each generation's felicity depends on the social level of benchmark consumption as well as on its own consumption. Since the benchmark consumption is...