Central Economics and Mathematics Institute

About: Central Economics and Mathematics Institute is a facility organization based out in Moscow, Russia. It is known for research contribution in the topics: Population & Foreign-exchange reserves. The organization has 297 authors who have published 580 publications receiving 6449 citations. The organization is also known as: Federal State Institution of Science Central Economics and Mathematics Institute of the Russian Academy of Sciences.

Global Imbalances: Non-Conventional View

Abstract: Maintaining today’s global imbalances would help to overcome the major disproportion of our times – income gap between developed and developing countries. This gap was widening for 500 years and only now, in the recent 50 years, there are some signs that this gap is starting to decrease. The chances to close this gap sooner rather than later would be better, if the West would go into debt, allowing developing countries to have trade surpluses that would help them develop faster. Previously, in 16-20th century, it was the West that was developing faster, accumulating surpluses in trade with “the rest” and using these surpluses to buy assets in developing countries, while “the rest” were going into debt. Now it is time for “the rest” to accumulate assets and for the West to go into debt.

Is Globalization Coming to an End Due to Rise of Income Inequalities

Abstract: The reversal of the trend towards the decline in income inequalities in the last three decades in most countries created favorable grounds for the rise of nationalist and anti-globalization feelings. Economic failures of countries, groups of people and individuals are among important factors that cause nationalism. The rise of nationalism in many countries in recent decades, as measured by the decline in the “pride in your own country” indicator from the World Values Survey, is statistically significantly related to the growth rates of per capita income and change in income inequality (Gini coefficient) within the country. When globalization is properly managed, it is good for growth and income distribution and does not lead to nationalism. But if it is accompanied by the decline in real incomes for large masses of people, nationalist political forces get additional arguments for instigating anti-globalization and isolationist feelings. The rise in income inequalities within major countries since the 1980s poses a threat not only to social stability, but also to globalization.

The Robinson-Schensted-Knuth correspondence and the bijections of commutativity and associativity

Abstract: The bijections of associativity and commutativity arise from symmetries of the Littlewood-Richardson coefficients. We define these bijections in terms of arrays and show that they coincide with analogous bijections defined in terms of discretely concave functions using the octahedron recurrence as well as with bijections defined in terms of Young tableaux. The main ingredient in the proof of their coincidence is a functional version of the Robinson-Schensted-Knuth correspondence.

Optimal trajectories in a maximal height problem for a simplified version of the Goddard model in case of generalized media resistance function

Abstract: We consider a family of the problems on maximization of the height of the vertical flight of a material point in the presence of a nonlinear friction and a constant flat gravity field under a bounded thrust and fuel expenditure. Using the maximum principle we obtain classification of trajectories (w.r.t. problem parameters) which are suspected to be optimal and check that for some classical rocket systems optimal control in our model is the classical bang-bang or bang-singular-bang one. We obtain some new types of “potentially-optimal” trajectories which should be investigated.