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О структуре равновесий Нэша и их устойчивости к локальному объединению в модели эндогенного формирования коалиций
Математическое моделирование. 2013. Т. 25. № 4. С. 44–64.
Vartanov S., Сосина Ю. В.
Language:
Russian
Смирнов С. В., Миллионщиков Д. В., Уфимский математический журнал 2021 Т. 13 № 2 С. 44–73
В данной работе изучаются характеристические алгебры для систем экспоненциального типа, соответствующих вырожденным матрицам Картана. Эти системы обобщают хорошо известные в теории интегрируемых систем гиперболические уравнения синус-Гордон и Цицейки. Для таких систем, соответствующих матрицам Картана ранга 2, характеристические алгебры описаны явно в терминах образующих и соотношений, и доказано, что они имеют линейный рост. Исследуется связь между ...
Added: September 11, 2026
Смирнов С. В., Glasgow Mathematical Journal 2026 Vol. 68 No. 2 P. 299–316
In the second half of the 19th century Darboux obtained determinant formulae that provide the general solution for a linear hyperbolic second order PDE with finite Laplace series. These formulae played an important role in his study of the theory of surfaces and, in particular, in the theory of conjugate nets. During the last three ...
Added: September 11, 2026
Смирнов С. В., Journal of Physics A: Mathematical and Theoretical 2023 Vol. 56 No. 26 Article 265204
There are different methods of discretizing integrable systems. We consider semi-discrete analog of two-dimensional Toda lattices associated to the Cartan matrices of simple Lie algebras that was proposed by Habibullin in 2011. This discretization is based on the notion of Darboux integrability. Generalized Toda lattices are known to be Darboux integrable in the continuous case ...
Added: September 11, 2026
Luzyanin S., Умаров О. М., Вестник Российского университета дружбы народов. Серия: Политология 2026 Т. 26 № 2 С. 240–255
A digital model for neutralizing challenges and threats facing Central Asia has been developed, along with a framework for its implementation based on Russian and Central Asian experience in the sphere of regional security. ...
Added: September 11, 2026
Enatskaya N., Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии 2026 № 6 С. 132–138
In schemes S for placing r particles in n distinguishable cells, their placement in selected m cells – schemes S∗ is studied, for which the analysis is carried out by a new enumerative method (EM) in extended areas of enumerative combinatorics: finding the number of outcomes and, based on the construction of a model of ...
Added: September 11, 2026
Enatskaya N., Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии 2026 № 6 С. 139–147
The class of particle cell arrangements under consideration is characterized by the introduction of an upper limit on the filling levels of the cells, which must be achieved in at least one cell of each outcome of each arrangement. The circuits are distinguished by the paired qualities of their constituent elements (cells and particles) according ...
Added: September 11, 2026
Киселева Д. А., Сунгуров А. Ю., Вестник Томского государственного университета. Философия. Социология. Политология 2025 № 86 С. 159–170
The article presents the results of a study of the experience of developing participatory budgeting in St. Petersburg and the subsequent attempt to use this mechanism not only for local problems solution, but also for digitalization development. Data were collected by interviewing participants (including organizers) of the projects “Your Budget” and “Your Budget 2.0” and ...
Added: September 10, 2026
Grishina D., Soloviev A., Международная аналитика 2026 Т. 17 № 2 С. 10–29
This publication analyzes the historical and geopolitical context of the formation and development of the concept of the “Russian threat” – a public narrative about the territorial ambitions of the Russian Empire that became widespread in Northeast Asia in the late 19th and early 20th centuries. Using the example of the concept’s origins and transformation ...
Added: September 10, 2026
ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, 2027.
This Handbook examines relations between Japan and Korea from 1850 to the present.
Analyzing almost 200 years of Japan and Korea relations uncovers a relationship that has been both congenial and confrontational. This Handbook examines these relations in this age of modernity by dividing it into four periods: precolonial relations (1850–1905); colonial rule (1905–1945); post-war/post-liberation (1945–1965); ...
Added: September 9, 2026
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 8 С. 110–123
Для многокритериальных задач принятия решений по аналогии с качественной вероятностью введены понятия полной и частичной качественной важности как бинарных отношений, обладающих постулируемыми
свойствами. Предложено новое определение отношения нестрогого предпочтения на множестве вариантов решений, порождаемое качественной
важностью. Исследованы его свойства. Указаны аналитические правила,
позволяющие попарно сравнивать варианты по предпочтительности. Проведено сравнение новых отношений предпочтения с разработанными ранее для задач, ...
Added: September 9, 2026
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 7 С. 113–126
Рассматриваются задачи принятия решений, когда предпочтения оцениваются в порядковой шкале, а возможности реализации значений
неопределенного фактора описываются качественной вероятностью (полной или только частичной). Вводятся определения отношений предпочтения и безразличий на множестве стратегий. Предлагаются простые
решающие правила, позволяющие сравнивать стратегии по предпочтительности, и приводятся иллюстративные примеры. ...
Added: September 9, 2026
Милькова А. А., Ойкумена. Регионоведческие исследования 2026 Т. 20 С. 123–133
This article aims to classify and characterize problematic narratives used in the official foreign policy discourse of Chinese President Xi Jinping to justify his foreign policy, respond to international challenges, and strengthen the country’s position on the international stage. Using content analysis, the authors identify eight of the most frequently occurring problematic narratives in this ...
Added: September 8, 2026
Chemical Papers 2026
Benzenoid hydrocarbons are structurally regular aromatic compounds, which makes them well suited for quantitative structure–property relationship (QSPR) studies. This study presents a QSPR analysis of nineteen benzenoid hydrocarbon species using degree-based topological co-indices. We developed a Python program to compute eleven degree-based topological co-indices from molecular graphs and evaluated their ability to explain variations in ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
A planar dual billiard is a planar curve γ equipped with a family (σP)|P∈γ of projective involutions of the projective lines LP tangent to γ at P that fix P. A dual billiard is called rationally integrable, if there exists a rational function R(x,y) of two variables (called first integral) whose restriction to each tangent ...
Added: September 8, 2026
Alexandrov A., Glutsyuk A., Journal of Differential Equations 2026 Vol. 465 Article 114178
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an equivalent description by a family of second-order differential equations: special double confluent Heun equations. In the present paper, we construct two new families of dynamical systems on ...
Added: September 8, 2026
Glutsyuk A., Inventiones Mathematicae 2026 Vol. 245 P. 977–1058
A caustic of a strictly convex planar bounded billiard is a smooth curve whose tangent lines are reflected from the billiard boundary to its tangent lines. The famous Birkhoff Conjecture, studied by many mathematicians, states that if the billiard boundary has an inner neighborhood foliated by closed caustics, then it is an ellipse. In the paper we study ...
Added: September 8, 2026
Вохминцев И. В., Вестник международных организаций: образование, наука, новая экономика 2026 Т. 21 № 2
The EAEU and the CSTO are Russia’s principal regional international organisations. Understanding, assessing, and analysing the foreign-policy positions of the countries that belong to them is a matter of the state’s national interests. This determines the purpose of the study: to identify the level and the form of cohesion in the voting of EAEU and ...
Added: September 7, 2026
Prikhodko Artem, Kubrak D., Compositio Mathematica 2026 Vol. 162 No. 6 P. 1377–1438
In this follow-up paper we show that smooth Hodge-proper stacks over O𝐾 are ℚ𝑝-locally acyclic: namely the natural map between étale ℚ𝑝-cohomology of the algebraic and Raynaud generic fibers is an equivalence. This establishes the ℚ𝑝-case of general conjectures made in D. Kubrak and A. Prikhodko [p-adic Hodge theory for Artin stacks, Mem. Amer. Math. ...
Added: September 7, 2026
Ismailov A., Constructive Approximation 2026
The measure of the positivity set {x ∈ [0; 2π] | f (x) > 0} of a trigonometric polynomial f is bounded from below by the Motzkin density.
We generalize the bound to polynomials in several variables and almost periodic functions.
We then use these generalizations to extend known results on Taikov’s problem. ...
Added: September 7, 2026
Leonid Grinin, Anton Grinin, Korotayev A., Journal of World-Systems Research 2026 Vol. 32 No. 2 P. 391–420
The article analyzes the direction, mechanisms, and causes through which President Trump’s actions contribute to the destruction of the foundations of U.S. influence in the world and to the transformation of the world order. For almost two decades we have been observing such an important phenomenon as the reconfiguration of the WorldSystem, which means that ...
Added: September 7, 2026
Kelbert M., Statistics 2026 Vol. 60
We present variational representations for the weighted divergencies
and exponential error function, and discuss implications for the
statistical inference and entropic optimal transport. ...
Added: September 7, 2026
Vasily Gusev, Iakov Zhukov, / Series WP BRP 268/EC/2024 " ECONOMICS". 2024.
This paper investigates two approaches to determining the leader of a coalition partition: the individual and the collective. In the first approach, each coalition in the partition chooses a representative, and then the leader is chosen from among all the representatives. In the second approach, the leading coalition in the partition is chosen, and then ...
Added: October 14, 2024
Vartanov S., Математическая теория игр и ее приложения 2012 Т. 4 № 1
Рассматривается модель эндогенного формирования коалиций в больших множествах игроков (агентов). Предпочтения каждого агента характеризуются его идеальной точкой, при этом агенты распределены на множестве идеальных точек в соответствии с некоторым законом. Политика коалиций определяется как медиана распределения по идеальным точкам её участников. Выигрыш агента зависит от удаленности его идеальной точки от политики выбранной им коалиции и ...
Added: October 1, 2023