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Tropical support sets in analysis of weak links and complementarity
Ch. 11. P. 211-220.
Properties of increasing positively homogeneous functions are studied; in particular, their representations by use of tropical inner products with coefficients chosen from tropical support sets are described. An application to a model of economic complementarityand weak links is developed. It is shown that weak links do not necessary bound total factor productivity from below but in some cases constraint it from above.
In book
Vol. 616: Tropical and idempotent mathematics and applications. , Providence : American Mathematical Society, 2014
Matveenko V. D., В кн. : Модели и методы тропической математики в прикладных задачах экономики и управления. Вып. 2.: СПб. : ВВМ, 2014. Гл. 1. С. 4-23.
Рассматриваются различные варианты CES-функций, получившие распространение в экономике. С точки зрения тропической математики CES-функция без весов интересна тем, что при изменении параметра, связывает идемпотентные операции max и min со стандартной динейно-алгебраической операцией +. Мы рассматриваем CES-функции с позиций тропической математики на основе введения операции обобщенного сложения. Исследуются свойства монотонности, взаимосвязь различных видов CES-функции, а также ...
Added: December 29, 2014
Matveenko V. D., В кн. : Экономический рост, ресурсозависимость и социально-экономическое неравенство: Пленарные доклады III Всероссийской конференции. : СПб. : Издательство Нестор-История, 2014. С. 79-92.
Пленарный доклад посвящен связи темпов роста с наличием слабых звеньев в сетевых структурах, в частности, в городах и агломерациях, где слабые звенья связаны с недостаточными размеранми положительных эестерналий. Анализируются процуссы агломерации и диффузии при наличии двух типов агентов: "стационарных", имеющих постоянное местоположение, и "свободных", способных его менять, взаимодействуя со стационарными агентами в новом местоположении. Асимптотическое ...
Added: November 16, 2014
Tretyakova E., Алфёрова Т. В., Известия Уральского государственного экономического университета 2018 Т. 19 № 5 С. 72-83
The research examines the dependence of gross regional product on payroll and fixed assets comparing
the economies of the Ural Economic Region with a view of reviewing the prospects of the regional
economic systems to improve their efficiency. The methodological foundations of the work cover regional
economics and research in the field of economic-mathematical modelling of regional economic
processes. ...
Added: October 16, 2019
Shitov Y., St Petersburg Mathematical Journal 2014 Vol. 26 No. 2 P. 216-228
The tropical arithmetic operations on R are defined as (a,b) -> min{a,b} and (a,b) -> a+b. We are interested in the concept of a semimodule, which is rather ill-behaved in tropical mathematics. In our paper we study the semimodules S in R^n having topological dimension two, and we show that any such S has always ...
Added: May 24, 2014
Лимонов Л.Э., Варламова О. Д., Заостровцев А.П. et al., В кн. : Региональная экономика и пространственное развитие в 2 т.: учебник для бакалавриата и магистратуры — 2-е изд., перераб. и доп. Т. 1.: М. : Юрайт, 2017. Гл. 5. С. 200-261.
Рассматриваются факторы, определяющие экономический рост и развитие городов и регионов в неоклассической экономической теории, а также теории полюсов роста, диффузии инноваций, человечекий и социальный капитал, теория кластеров и влияние культуры и институтов на региональную экономику. ...
Added: October 27, 2018
Tsvetkova A., Прикладная эконометрика 2021 Т. 63 С. 91-116
The paper examines technical efficiency of Russian firms during the period from 2013 to 2018 applying the stochastic production frontier method. The estimates obtained indicate that technical efficiency grows with firm size and declines with its age. While macroeconomic situation deteriorated in 2015–2016, technical efficiency in most industries changed insignificantly. However, the number of industries with a negative trend ...
Added: October 12, 2021
Matveenko V. D., , in : Contributions to game theory and management. Issue 6.: St. Petersburg : Graduate School of Management, St. Petersburg University, 2013. P. 289-300.
In the present paper the game theory is applied to an important open question in economics: providing microfoundations for often-used types of production function. Simple differential games of bargaining are proposed to model a behavior of workers and capital-owners in processes of formation of a set of admissible factor prices or participants’ weights (moral-ethical assessments). ...
Added: November 6, 2013
Balashova E., Suvorov N. V., СПб. : Издательство Нестор-История, 2016
The monograph presents the results of calculations of the human capital dynamics and structure for the Russian economy in 1991-2012 years, using the method of accumulated costs by analogy with the calculation of the fixed capital volume. Analysis of the human capital contribution implemented on the basis of the production function model; original mathematical-statistical methods ...
Added: October 20, 2016
Клейнер Г. Б., Piontkovski D., В кн. : Экономика. Моделирование. Математика. Избранные труды. : М. : ЦЭМИ РАН, 2016. С. 594-613.
A class of Solow production functions is a natural extension of the class of the CES functions and the Cobb--Duglas functions. We give a complete descriptions of this class in terms of various differential characteristics such as various elasticity measures. We use also differential description of quasi-homogeneous functions. We give also new characterization of the ...
Added: March 13, 2017
Shitov Y., International Journal of Algebra and Computation 2014 Vol. 24 No. 8 P. 1183-1189
We present a number of new results on the multiplicative structure of univariate polynomials over the Boolean and tropical semirings.We answer the question asked by Kim and Roush in 2005 by proving that almost all Boolean polynomials with nonzero constant term are irreducible.We also give a lower bound for the number of reducible polynomials, and ...
Added: January 8, 2015
Rasskazov S. V., Dalal A., Материаловедение. Энергетика 2014 № 4 С. 49-58
Обсуждается содержание «исламской экономики», отличительной чертой которой является учет исламской этики. Важной особенностью поведения экономического агента в такой экономике является его направленность на повышение не только собственного, но и общественного благосостояния. Показано, каким образом требования религиозной веры встраиваются в количественные модели стандартной экономической теории. На конкретных микроэкономических примерах моделей производства прослежено влияние этических ограничений на ...
Added: October 8, 2018
Shitov Y., / Cornell University. Series math "arxiv.org". 2014. No. 1406.2601.
We construct a nontrivial identity which holds in the semigroup of tropical 3-by-3 matrices. ...
Added: March 14, 2015
Svetunkov I., Svetunkov S., Экономика и математические методы 2012 Т. 48 № 1 С. 67-79
The new economic-mathematical model based on complex variables theory and the new approach to complex variables usage in economics are suggested in the article. The comparison of modeling results of actual production processes using Cobb-Douglass production function and complex variables production function is conducted. It is shown that the instrumental base of economicmathematical methods can ...
Added: July 25, 2012
Matveenko V. D., Управленческое консультирование 2011 № 3 С. 106-114
The author uses the model of production proposed by him earlier for investigation of
interaction of physical and social technologies in industrial process. The model takes
into account not only physical technologies and production factors (labor and capital)
but also social technologies (institutions) and some information resource. In the paper
the results of application of ...
Added: March 18, 2014
Matveenko V. D., Olenev N. N., Shatrov A. V., Perm University Herald. Economy 2015 No. 2(25) P. 42-50
Basing on the theory of endogenous growth, we provide a possible explanation of вifferences in the development of national economies of the world and their reaction to the global economic crises. Earlier an approach to modeling of the choice of technologies in various countrie s was proposed (Matveenko, 2007, 2010). Technological
progress is modeled as a ...
Added: September 22, 2015
Svetunkov S., Чанцалмаа Б., Экономика и предпринимательство 2015 № 4 (ч.1) С. 486-488
Article considers problems of an assessment of efficiency of company’s activity on the basis of complex indicators of production results and resources. Tools of complex-valued economy – the new scientific direction having the theory of functions of complex variables as the basis – are used to modeling of economic dependences. The properties of exponential production ...
Added: June 5, 2015
Shitov Y., Linear and Multilinear Algebra 2015
We give a tropical proof of a recent result of Mohindru on the CP-rank conjecture over min-max semiring. ...
Added: April 14, 2015
Matveenko V. D., Бронштейн Е. М., Экономика и математические методы 2016 Т. 52 № 2 С. 91-102
CES production functions are widely used in economic growth and development researches. However, it is not always taken into account that properties of different specifications of CES functions (continual or discrete, with the weights or without them) are rather differ. The properties of CES production functions, essential for analysis of economic models, are studied. We ...
Added: June 11, 2016
Matveenko V. D., Montenegrin Journal of Economics 2013 Vol. 9 No. 3 P. 7-27
A new approach is proposed revealing duality relations between a physical side of economy (resources and technologies) and its institutional side (institutional relationsd between social groups). Production function is modeled not as a primal object but rather as a secondary one defined in a dual way by the institutional side. Differential games of bargaining are ...
Added: November 1, 2013
Martemyanov Y., Matveenko V. D., LUT Scientific and Expertise Publications 2013 No. 13 P. 34-37
We consider a dependence of the growth rate on the elasticity of factor substitution in a framework of a model of mutual dependence of n agents. This model is interpreted as a network structure and can be used to analyze agglomerations. The development is modeled as an increase in values of the agents in a ...
Added: September 11, 2013
Tretyakova E., Алфёрова Т. В., Иванова О. Г. et al., AlterEconomics (ранее - Журнал экономической теории) 2018 № 2 С. 213-223
. In transition to a new high-tech way of economy, the technological and resource readiness of national and regional economic systems to build into a new model of functioning becomes essential. For that reason, the key objective of the study was to identify the factors that have the greatest impact on the development of the ...
Added: September 28, 2018
Matveenko V. D., Korolev A. V., Алькаева М. С., Научно-технические ведомости Санкт-Петербургского государственного политехнического университета. Экономические науки 2014 № 1(187) С. 184-190
In this article the endogenous growth model with human capital on the simple spatial structure (the line) is considered. We pay main attention to a special case of a combination of parameters for which we were able to solve the central planner problem on the line in an explicit form, which other authors did not ...
Added: April 22, 2015
Providence : American Mathematical Society, 2014
This volume contains the proceedings of the International Workshop on Tropical and Idempotent Mathematics, held at the Independent University of Moscow, Russia, from August 26-31, 2012. The main purpose of the conference was to bring together and unite researchers and specialists in various areas of tropical and idempotent mathematics and applications. This volume contains articles ...
Added: February 1, 2015
Клейнер Г. Б., и другие ..., М. : ЦЭМИ РАН, 2016
Selected works of George Kleiner on economics and mathematics in occasion of his 70th birthday. ...
Added: March 13, 2017