In this work we consider a class of generalized piecewise smooth maps, proposed in the study of applied engineering models. It is a class of one-dimensional discontinuous maps, with a linear branch and a nonlinear one, characterized by a power function with a term x and a vertical asymptote. The...

We propose and analyze a two-country model of endogenous innovation cycles. In autarky, innovation fluctuations in the two countries are decoupled. As the trade costs fall and intra-industry trade rises, they become synchronized. This is because globalization leads to the alignment of innovation...

The contribution of this paper is twofold. First, it reformulates the model of endogenous credit cycles by Matsuyama (2013, Sections 2-4). It is shown that the same dynamical system that generates the equilibrium trajectory can be obtained under a much simpler set of assumptions. Such a...

This paper describes briefly main functionalities and exploited numerical methods of the package CompDTIMe which consists of several Matlab routines. This package allows one to calculate two-dimensional bifurcation diagrams, to find periodic points not depending on whether they are attracting,...

We introduce a 2-country New Economic Geography model with 4 regions. It is defined by a 2D piecewise smooth map that depends on 8 parameters. Using reductions of this map to 1D maps defined on invariant straight lines we obtain stability conditions of the Core-Periphery fixed points, and show...

In the present work we study asymptotic dynamics of a multi-dimensional piecewise smooth map which models an oligopoly market where competitors use adaptive scheme for reaction choice. Each competitor also defines the moment for renewing the capital equipment depending on how intensively the...

In this paper, we analyze optimal foreign direct investment of a firm which operates in a duopolistic market. We characterize a technology spillover threshold and show that for an intensity of spillovers below this threshold, there is a unique locally asymptotic stable steady state with a...

We study a problem of optimal influence in a society where agents learn from their neighbors. We consider a firm that seeks to maximize the diffusion of a new product whose quality is ex–ante uncertain, to a market where consumers are able to compare the qualities of two alternative...

Using data for the European regions at NUTS-2 level, we test the predictions of a microfounded Schumpeterian growth model with technological interdependence recently developed by Ertur and Koch (2011, EK11). Spatial interdependence is identified by means ofa semiparametric geoadditive spatial...

The paper focuses on examining cross-border labour mobility between the neighbouring countries looking for the answer to the question whether cross-border labour mobility can pursue win-win expectations of increasing international labour movement after the EU eastward enlargement. The aim of the...