Экономика. Моделирование. Математика. Избранные труды.
Selected works of George Kleiner on economics and mathematics in occasion of his 70th birthday.
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 class of multifactor production functions which such that the elasticity of substitution of each factor by another one is constant and the same for each pairr of factors. We show also that each quasi-homogeneous multifactor function which can be linearized via an autonomous scaling of its arguments is a Solow function.
The second edition of a paper from `Economics and Mathematical Methods' in a collection of selected works of George Kleiner in occasion of his 70th birthday.
The proposed monograph - one of the first scientific papers, which the system based on the conceptual model of the households in the structure of the national economy. Updated theoretical and methodological basis of the research institute of the household, its place in the reproductive and financial systems of the national economy. A special place in the book takes the study of households in the institutional system, including property relations and informal institutions. The analysis of the functioning of households in different economic systems proposed directions of households in the context of the national economy.
For teachers, researchers and graduate students, as well as for all those interested in the functioning of the household and efficient interaction of economic agents.
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 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). These games result, correspondingly, in a factor price curve and a weight curve – structures dual to production function. Ultimately, under constant bargaining powers of the participants, the Cobb-Douglas production function is received.
We review the transition of the Russian banking sector focusing on the interplay between ownership change and institutional change. We find that the state's withdrawal from commercial banking has been inconsistent and limited in scope. To this day, core banks have yet to be privatized and the state has made a comeback as owner of the dominant market participants. We also look at the new institutions imported into Russia to regulate banking and finance, including rule of law, competition, deposit insurance, confidentiality, bankruptcy, and corporate governance. The unfortunate combination of this new institutional overlay and traditional local norms of behavior have brought Russia to an impasse - the banking sector's ownership structure hinders further advancement of market institutions. Indeed, we may now be witnessing is a retreat from the original market-based goals of transition.
The article examines the specifics of small business sector institutional development in the transitional economy of Russia. It shows that small business adjustment has brought about a number of economic institutions, for example, business networks and vertically integrated structures. But business associations as a fully-fledged institution representing and protecting the interests of small business have not been established yet. Business ties and transactions are maintained through informal contracts, businessmen' personal relations. This practice has triggered the development of the shadow economy. A similar institutional development of the sector has had mainly negative results. The analysis has used the results of formalized surveys and in-depth interviews with entrepreneurs and small business managers held by IPSSA (with the participation of the article's author) in 1992 to 1998.
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 be widen with usage of complex variables theory.
The Summer School is aimed at creating and supporting the academic network of young researchers from all regions of Russia as well as from CIS and other countries, who work in the field of New Institutional Economics. The schedule of the Summer School includes lectures, seminars and plenty of possibilities for discussion and communication. This year we will focus on possibilities and challenges of applied research in the institutional economics framework.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.