Lucas and Moll have proposed a system of forward-backward partial differential equations that model knowledge diffusion economic growth. It arises from microscopic learning for mean-field type interacting individual agents. In this paper, we prove existence traveling wave solutions to system. They correspond what is known in economics as balanced growth path solutions. We also study the depende...

Convergence hypothesis is one of the results of neoclassical growth model, which has been examined recently. This hypothesis has two forms of absolute and conditional Beta-convergence and implies that regions with lower per capita output have higher per capita growth rates. Since there is no data for regional GDP in Iran, there has been n study to test convergence hypothesis in Iran. Our main c...

In this study, a macro-economic model consisting of twelve behavioral equations and fourteen identity equations was estimated with the aim of investigating the effectiveness of monetary and fiscal policies set out in the fourth and fifth development plans. In the estimated model, the variables of development expenditures, current expenditures and tax revenues are used as fiscal policy tools and...

This article investigates the cyclical properties of an endogenous growth model. An explicit solution is derived which permits the full characterization of the cyclical as well as the long{run properties of the model. Using spectral, autocorrelation and impulse response functions, we show that introducing endogenous growth overcomes some of the main shortcomings of RBC models. In particular, th...

In this paper we study balanced growth path solutions of a Boltzmann mean field game model proposed by Lucas et al [13] to model knowledge growth in an economy. Agents can either increase their knowledge level by exchanging ideas in learning events or by producing goods with the knowledge they already have. The existence of balanced growth path solutions implies exponential growth of the overal...

a study of the biokinetics of anaerobic digestion of municipal solid waste (msw) was carried out using anaerobic batch digester. from the experimental results, the kinetic parameters (coefficient values) of the digestion of the msw were determined. the maximum rate of substrate utilization (k), saturation constant (ks), endogenous decay coefficient (kd), biomass yield or microbial growth yield ...