Powers of matrices with idempotent operations and an application to dynamics of spatial agglomerations
The paper develops an approach to analyze dynamics of economic network structures, such as spatial agglomerations. The approach is based on a use of powers of matrices with an idempotent operation.
This book focuses on the questions of how territorial differences in productivity levels and unemployment rates arise in the first place and why territorial differences in labor market performance persist over time. Unemployment divergence and unemployment club convergence have been touched on in a large number of works and have recently also been studied using spatial econometric analysis. In this book we aim to develop the debate to include several important new topics, such as: the reasons why structural changes in some sectors cause slumps in some regions but not in others; the extent to which agglomeration factors explain regional imbalances; the degree of convergence / divergence across EU countries and regions; the role of labor mobility in reducing / increasing regional labor market imbalances; the impact of EU and country-level regional policy in stimulating convergence; and the (unsatisfactory) role of active labor market policy in stimulating labor supply in the weakest economic areas.
Seasonality and cyclicity - are two influential factors that affect dynamics of macroeconomic indicators both during the year and longer periods of time. In this article are discussed methodological questions that arise during seasonal decomposition of the GDP by factors for the year when balance aggregate and factors ratio is constant. Economic cycles mechanisms origin and their identification questions based on the combination of classical methods of spectral analysis and historic approach. Presented is the fact that along with more regular cycles such as investment and Kondratiev wave, influence of shocks (such as «oil prices crises») appear so called causal cycles that lead to a serious change in technological base of production. Particular importance (emphasis is placed on ) a new technological wave which is expected to strike the world in 2020 th and those goal set before the Russia. This research is done on the basis of world and Russian (national) statistics.
We study Krugman's core–periphery (CP) model for most general cases of nonidentical regions and fully characterize instant and long-run equilibria. Assuming immobility of labor, we describe the behavior of equilibrium wages/real wages. Moreover, the relative wages/real wages of industrial workers can both increase and decrease with the population with which they are associated. Under the assumption of industrial labor mobility, possible patterns of economic evolution, as responses to trade freeness, are fully described. We show that in the case of noticeable agricultural asymmetry, all mobile labor inevitably accumulates in countries with larger agricultural populations.