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On a generalization of Arrow's impossibility theorem
Doklady Mathematics. 2014. Vol. 89. No. 3. P. 290-292.
Polyakov N. L., Shamolin M. V.
A complete classification of symmetric sets of choice functions with the Arrow property is obtained.
Language:
English
Polyakov N. L., Шамолин М. В., Итоги науки и техники. Современная математика и ее приложения. Тематические обзоры 2020 Т. 174 С. 46-51
In the paper, combinatorial theorems relating to the theory of social choice are obtained.These theorems describe general conditions under which theproblem on the preserving the preferencesetDby an arbitrary aggregation rulefand the problem on the compatibility of the preference setDwith a pair(f,C)can be reduced to similar problems for two specific aggregation rules: the majority rulemaj and ...
Added: October 13, 2020
Polyakov N. L., Шамолин М. В., Труды семинара им. И.Г. Петровского 2019 Т. 32 С. 257-282
In work we consider algorithms of sequential aggregation. We prove a classification theorem that generalizes the classification of aggregation rules without the Arrow property, previously proposed by the authors. Next, we consider non-local aggregation schemes that simulate the sequential choice. ...
Added: April 5, 2019
Polyakov N. L., Шамолин М. В., Вестник Самарского государственного университета. Естественнонаучная серия 2013 № 6(107) С. 61-73
We give an effective description of symmetric closed classes of discrete functions preserving any unary predicate. ...
Added: October 5, 2018
Polyakov N. L., Интеллектуальные системы. Теория и приложения 2016 Т. 20 № 4 С. 70-75
One of the main tasks of the theory of collective choice is formulated in the language of functional Galois correspondences. A convenient characterization of symmetric classes of decision rules without the Arrow property is proposed. ...
Added: October 6, 2018
Grigoryev D., Социология: методология, методы, математическое моделирование 2021
В свете текущих дебатов о кризисе воспроизводимости в социальных науках, данная статья обращается к основаниям современной частотной статистики в аспекте установления причинных выводов. Чтобы понять как и для чего статистический анализ данных был введён в научную практику, после краткого введения в сегодняшний этап дискуссии о кризисе воспроизводимости, было описано понимание назначения частотного статистического анализа данных ...
Added: May 1, 2020
М. : Энциклопедия, Инфра-М, 2017
The New Russian Encyclopedia is a fundamental reference publication in 18 volumes that characterizes nature, population, economy, history, science, art, technology and other important aspects. Contains about 60,000 articles, about 30,000 biographies, about 15,000 color illustrations, maps, charts, diagrams, tables. Leaves since 2003. ...
Added: October 31, 2018
М. : Институт экономики РАН, 2018
The collection of articles presented is based on materials reported
at the XII Symposium on Evolutionary Economics “Heterodoxia vs. Economomic reductionism: problems of macro- and meso-level "(Pushchino
Moscow region, September 21–23, 2017). Collection articles are offered.
new approaches to economic analysis, taking into account the complexity of modern
economics and the importance of the specificity of macro, meso and ...
Added: October 5, 2018
М. : Энциклопедия, Инфра-М, 2017
The New Russian Encyclopedia is a fundamental reference publication in 18 volumes that characterizes nature, population, economy, history, science, art, technology and other important aspects. Contains about 60,000 articles, about 30,000 biographies, about 15,000 color illustrations, maps, charts, diagrams, tables. Leaves since 2003. ...
Added: October 29, 2018
49606783, Russian Journal of Mathematical Physics 2016 Vol. 23 No. 4 P. 509-524
We show how the abstract analytic number theory of Maier, Postnikov, and others can be extended to include negative numbers and apply this to thermodynamics, information theory, and human thermodynamics. In particular, we introduce a certain large number N_0 on the "zero level" with a high multiplicity number qi ≫ 1 related to the physical ...
Added: February 25, 2017
Zakharov A., / Высшая школа экономики. Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2008. No. 01.
What was the main factor behind the pro-Kremlin United Russia winning the December 2007 State Duma election with 64% of the seats? The party’s centrist ideology, association with Vladimir Putin, as well as media bias, administrative pressure, and vote-rigging have all been suggested as the primary cause behind the party’s success. This work tackles the ...
Added: March 23, 2013
М. : Энциклопедия, Инфра-М, 2018
The New Russian Encyclopedia is a fundamental reference publication in 18 volumes that characterizes nature, population, economy, history, science, art, technology and other important aspects. Contains about 60,000 articles, about 30,000 biographies, about 15,000 color illustrations, maps, charts, diagrams, tables. Leaves since 2003. ...
Added: October 26, 2018
М. : Либроком, 2010
Альманах принадлежит к ставшей уже популярной серии сборников, освещающих различные аспекты использования математических методов в исторических, обществоведческих и экономических исследованиях. Этот выпуск посвящен исследованию макроисторической динамики общества и государства на протяжении огромного периода истории, охватывающего время зарождения и существования Мир-Системы. Альманах представляет собой комплексное исследование ряда важнейших макроисторических процессов, с использованием разнообразных аналитических и формально-математических ...
Added: October 15, 2014
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013
Malkov S. Y., Meshcherina K., Korotayev A., BioSystems 2020 Vol. 198 P. 104231
This paper proposes a methodological approach to analyzing the evolution of the stability of socioeconomic systems and to assessing the risk of their possible destabilization based on the use of mathematical modeling methods. In this paper, a basic model is presented allowing us to describe the joint dynamics of processes in the economic, organizational, and ...
Added: August 20, 2020
Korotayev A., NY : The Edwin Mellen Press, 2004
This book provides a cross-cultural analysis of traditional social organization of the Old World Oikumene civilizations, which suggest that the world religions were its major determinant. The role of Christianity and Islam as determinants of social evolution is analyzed in more detail. Formal analysis performed in this book shows that though such factors as political ...
Added: March 10, 2013
Korotayev A., Вестник Института экономики Российской академии наук 2015 № 1 С. 149-162
The 19th century saw an explosive growth of the gap between the “First” and the “Third” World as regards per capita incomes and levels of life that has become to be known as the “Great Divergence”. In the 20th century the Great Divergence continued up to the early 1970s, and then – in the late ...
Added: December 3, 2015
Akopov A. S., Beklaryan L., International Journal of Pure and Applied Mathematics 2012 Vol. 79 No. 1 P. 121-138
In this research work is presented the approach to modeling of the crowd behavior (ensemble) in extreme situations based on methods of an agent simulation. The main feature of the approach is the taking into account the dynamics of each agent in researched ensemble.
It is important to note, the effect of the full or partial ...
Added: September 26, 2012
Litchfield Park : Emergent Publications, 2013
We see globalization as the growth of the sizes of social systems and the increase in the complexity of intersocietal links. Thus, in certain respects, globalization may be regarded as a process connecting the past, the present, and the future—as a sort of bridge between the past and the future. The title and the composition ...
Added: April 17, 2013
Kalyagin V. A., Чистяков В. В., / Высшая школа экономики. Серия WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2009. № 01.
На практике зачастую мнение коллектива из n индивидуумов выражается при помощи шкалы оценок от 1 до m, проставляемых каждым членом коллектива (например, 1 = плохо, 2 = чуть лучше, 3 = еще лучше, ..., m = отлично). Тем самым имеются наборы
n-мерных векторов (x1, ..., xn) с компонентами xi от 1 до m, каждый из которых ...
Added: March 23, 2013
Yevgeny Gavrilenkov, Leonid Grigoriev, Evsey Gurvich et al., P. : Le cherche midi, 2013
The first yearbook, published by the Observatoire franco-russe, aims to provide the most complete analysis possible of the situation in Russia. Bringing together the contributions of some 50 recognized experts, it is organized around four themes: the economy, internal politics and society, regions and foreign and defense policy. The fifth part, entitled “Franco-Russian Miscellany”, illustrates ...
Added: March 5, 2014
Akopov A. S., Beklaryan L., Automation and Remote Control 2015 Vol. 76 No. 10 P. 1817-1827
An agent model of crowd (ensemble) behavior in emergencies was presented. This model is distinguished for the allowance for dynamics of each agent from the ensemble under consideration. The crowd effect manifests itself mostly as attraction or repulsion of closely set agents with a probability depending on the agent’s psychological type. Consideration was given to ...
Added: October 24, 2015
M. : HSE, 2014
The materials of The Third International Scientific-Practical Conference is presented below. The Conference reflects the modern state of innovation in education, science, industry and social-economic sphere, from the standpoint of introducing new information technologies.
Digest of Conference materials is presented in 3 parts. It is interesting for a wide range of researchers, teachers, graduate students and ...
Added: April 18, 2014
49606783, Maslova T. V., Mathematical notes 2014 Vol. 95 No. 6 P. 881-885
After the work of Irving Fisher, who formulated the main law of economics as an analog of the Claiperon--Clausius--Mendeleev relation corresponding to the Boltzmann--Maxwell ideal gas, the authors have developed this approach on the basis of the general principles of UD-statistics by assigning to the nominal interest rate the role of the chemical potential mu ...
Added: December 21, 2014