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An Extension of a Class of Cost Sharing Methods to the Solutions of the Class of Two-Person Cooperative Games
NRU Higher School of Economics
,
2016.
No. BRP 127/EC/2016.
Яновская Е. В.
Two-person games and cost/surplus sharing problems are worth for studying because they are the base for their extending to the classes of such problems with variable population with the help of very powerful consistency properties. In the paper a family of cost-sharing methods for cost sharing problems with two agents [Moulin 2000] is extended to a class of solutions for two-person cooperative games that are larger than both cost-sharing and surplus-sharing problems, since cooperative games have no no restrictions on positivity of costs and surpluses. The tool of the extension is a new invariance axiom -- self covariance -- that can be applied both to cost-sharing methods and to cooperative game solutions. In particular, this axiom replaces the Lower composition axiom not applicable to methods for profit sharing problems
Levashev V., / Series arXiv "math". 2026. No. 2609.06010.
We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
Added: September 24, 2026
Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter.
By analyzing the ...
Added: September 24, 2026
Medvedev V., / Series arXiv "math". 2026.
We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
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Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
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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
Pochinka O., Shmukler V., / Series math.RT "arXiv:1808.06395 [math.RT]". 2026.
Anosov flows have a long and rich history, firstly motivated by the
study of geodesic flows in negative curvature surface by Anosov and Sinai.
Not every closed manifold admits an Anosov flow for well-known reasons:
the fundamental group of a 3-manifold M admitting an Anosov flow must
have exponential growth, and M must be universally covered by R3. Nevertheless,
there ...
Added: August 31, 2026
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
Кондилис П., Ад Маргинем Пресс, 2025.
Панайотис Кондилис (1943–1998) — греческий философ и переводчик, написавший свои основные труды по-немецки. Впервые переведенная на русский язык книга «Власть и решение» (1984), одна из его центральных работ, представляет теорию дескриптивного децизионизма — ценностно-нейтрального понимания принятия решений и их связи с формированием представлений о мире и социальными отношениями. Опираясь на историцистский метод, а также на ...
Added: March 22, 2025
Sharko E., Rebiazina V., Vestnik of Saint Petersburg University. Management 2023 Vol. 22 No. 4 P. 476–493
With the growth of digitalisation, more forms of innovative activity of companies emerge; it increases the interest of researchers to the relevance of introducing the concept of servitization in business functioning in an online environment. The problem is in a fragmentary nature of the existing studies since no general definition of the phenomenon of “servitization” has been formed yet. ...
Added: December 22, 2023
A. S. Shvedov, Mathematical notes 2023 Vol. 114 No. 4 P. 619–624
It is proved that the bargaining set for a cooperative game with trapezoidal fuzzy payoffs is nonempty ...
Added: October 18, 2023
Shvedov A. S., Математические заметки 2023 Т. 114 № 4 С. 615–622
It is proved that the bargaining set for a cooperative game with trapezoidal fuzzy payoffs is nonempty. ...
Added: October 6, 2023
Руслан Хестанов, Артём Космарский, Социологическое обозрение 2023 Т. 22 № 3 С. 75–94
The article focuses on two models of political and state formations, those of liberal-democratic and Soviet-Chinese. The use of Niklas Luhmann’s concept of decision in analyzing their systemic foundations opens a new perspective on both these models and the contemporary political process. A brief overview of the discussion on the topic of decision-making in organizations ...
Added: October 2, 2023
Korolev A. V., Котова М. А., Угольницкий Г. А., Известия РАН. Теория и системы управления 2023 № 1 С. 82–105
Аналитически найдены равновесия Нэша и Штакельберга, а также кооперативные решения для динамических теоретико-игровых моделей олигополии Курно в нормальной форме с неоднородными агентами. Построены и исследованы кооперативные теоретико-игровые модели олигополии Курно трех лиц в форме характеристической функции фон Неймана–Моргенштерна и Громовой–Петросяна, включая вычисление вектора Шепли. Проведен сравнительный анализ выигрышей агентов, согласно полученным решениям, для игр в ...
Added: March 14, 2023
Arzamasov Y., Общенациональный интерактивный энциклопедический портал "Знания" 2022 № 11 Статья 127
The article reveals the legal nature of the act of applying the law. The requirements for the act of applying the law, its features and structure, existing classifications are considered. The problem of unification of acts of application of law, connected with the achievement of unity between their content and form, is raised. It is ...
Added: January 13, 2023
Shvedov A. S., Информатика и ее применения 2022 Т. 16 № 3 С. 2–6
Zhao (2001) suggested a new condition for non-emptiness of the core of a cooperative game. At first, a necessary and sufficient condition was found by Zhao for a particular case of games with transferable utility. In this case, as was shown by Zhao, the condition can be easily used for construction of a computational scheme, ...
Added: October 12, 2022
Георгиевский А. Б., Вестник Санкт-Петербургского университета. Серия 8. Менеджмент 2021 Т. 20 № 2 С. 216–241
Accelerating digitalization of the economy and changing pandemic-driven consumer trends provide companies with opportunities for a complete customer satisfaction by using solutions. This work aims to consider the formation of a solution as the basis for the servitization of a company. The analysis of academic and consulting literature on solution and servitization concepts was used as a research ...
Added: June 10, 2022