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Геометрические свойства [0,1]-N-ядра
Математическая теория игр и ее приложения. 2012. Т. 4. № 1. С. 55-73.
Smirnova N., Тарашнина С. И.
In the paper we consider a new solution concept of a cooperative TU-game called the [0,1]-nucleolus. It is based on the ideas of the SM-nucleolus, the modiclus and the prenucleolus. The [0,1]-nucleolus takes into account both the constructive power v(S) and the blocking power v*(S) of coalition S with coefficients alpha and 1-alpha, accordingly, with alpha\in[0,1]. The geometrical structure of the [0,1]-nucleolus is investigated. We prove the solution consists of a finite number of sequentally connected segments in R^{n}. The [0,1]-nucleolus is represented by the unique point for the class of constant-sum games.
Smirnova N., Тарашнина С. И., Известия высших учебных заведений. Математика 2016 Т. 6 С. 63-74
As a solution concept of cooperative TU-game we propose the set of $\alpha$-prenucleoli, $\alpha\in R$, that is a generalization of the $[0,1]$-prenucleolus. In the paper we show that in a cooperative game the set of $\alpha$-prenucleoli takes into account the constructive power with weight $\alpha$ and the blocking power with weight $(1-\alpha)$ for all possible ...
Added: October 20, 2015
Smirnova N., Тарашнина С. И., Дискретный анализ и исследование операций 2011 Т. 18 № 4 С. 77-93
Added: September 28, 2015
Smirnova N., Tarashnina S. I., Russian Mathematics 2016 Vol. 60 No. 6 P. 63-74
We understand a solution of a cooperative TU-game as the α-prenucleoli set, α ∈ R, which is a generalization of the notion of the [0, 1]-prenucleolus. We show that the set of all α-nucleoli takes into account the constructive power with the weight α and the blocking power with the weight (1 − α) for all possible values of the parameter α. The ...
Added: July 7, 2016
Smirnova N., Тарашнина С. И., TOP 2017
We investigate a new solution concept of a TU-game --- the $\alpha$-prenucleoli set. For an arbitrary $3$-person TU-game we construct analytical formulas for calculating the considered solution. Since the $\alpha$-prenucleoli set always contains the pre\-nucleolus and the $SM$-nucleolus the analytical formulas for calculating these solution concepts have also been verified. ...
Added: October 17, 2016
Katsev I., Yanovskaya E. B., Mathematical Social Sciences 2013 Vol. 66 No. 1 P. 56-65
A game with restricted cooperation is a triple (N,v,Omega), where N is a finite set of players, Omega is a non-empty collection of feasible coalitions such that N belongs to Omega, and v: Omega -> R is a characteristic function. The definition implies that if Omega=2^N, then the game (N,v,Omega)=(N,v) is the classical TU cooperative ...
Added: March 19, 2014
Yanovskaya E. B., Математическая теория игр и ее приложения 2011 Т. 3 № 4 С. 23-48
A cooperative game with restricted cooperation is a triple (N,v,Omega), where N is a finite set of players, Omega is a collection of feasible} coalitions, v:Omega -->R is a characteristic function. The definition implies that if Omega=2^N, then the game (N,v,Omega)=(N,v) is a classical cooperative game with transferable utilities (TU). The class of all games ...
Added: March 20, 2014
Yanovskaya E. B., Katsev I., Mathematical Social Sciences 2013 Vol. 66 No. 1 P. 56-65
A game with restricted cooperation is a triple (N,v,Ω), where N is a finite set of players, Ω⊂2N is a nonempty collection of feasible coalitions such that N∈Ω, andv:Ω→R is a characteristic function. The definition implies that if Ω=2N, then the game(N,v,Ω)=(N,v) is the classical transferable utility (TU) cooperative game.
The class of all games with restricted cooperation Gr with an arbitrary universal set of players is considered. ...
Added: October 23, 2015
Yanovskaya E. B., Математическая теория игр и ее приложения 2012 Т. 4 № 2 С. 96-123
Most of solutions for cooperative games with transferable utilities (TU) are covariant with respect to positive linear transformations of individual utilities. However, this property does not take into account interpersonal comparisons of players' payoffs. The constrained egalitarian solution defined by Dutta and Ray for the class of convex TU games, being not covariant, served as ...
Added: March 20, 2014
Кацев И. В., Yanovskaya E. B., Математическая теория игр и ее приложения 2009 Т. 1 № 1 С. 46-66
A collection of TU games solutions intermediate between the prekernel and the prenucleolus is considered. All these solutions
are Davis-Maschler consistent, symmetric and covariant. Each solution from the collection is parametrized by a positive integer k such that for all games with the number of players not greater than k, the solution for parameter k coincides
with ...
Added: March 20, 2014
Елнова М. И., Smirnova N., , in : Contributions to Game Theory and Management Volume XI. : Saint Petersburg State University, 2018. P. 42-52.
Transport industry in economy had been studied for many years, however, only recently researchers have begun to widely apply concepts of cooperative game theory to optimize costs and profits which are incurred in hauling. Today a wide range of cost/profit allocation methods have become a trend in transport segment, particularly in logistics operations. The most ...
Added: October 1, 2018
Smirnova N., Tarashnina S., International Game Theory Review 2016
We investigate the alpha-prenucleoli set in the game "The Landowner and his serfs". In that game we present the theorem giving analytical formulas for calculating the solution. Since the alpha-prenucleoli set contains the prenucleolus, the simplified modified nucleolus for arbitrary n-person TU-game and the modiclus for balanced games we also have formulas for them. ...
Added: October 17, 2016
Arin J., Katsev I., Mathematical Methods of Operations Research 2014 Vol. 80 No. 3 P. 307-327
We introduce and characterize a new solution concept for TU games: The Surplus Distributor Prenucleolus. The new solution is a lexicographic value although it is not a weighted prenucleolus. The SD-prenucleolus satisfies core stability, strong aggregate monotonicity, null player out property in the class of balanced games and coalitional monotonicity in the class of monotonic ...
Added: October 23, 2015
Kotelnikova M. V., Aistov A., Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки 2019 Т. 55 № 3 С. 183-189
The article describes a method that allows to improve the content of disciplines of the mathematical cycle by dividing them into invariant (general) and variable parts. The invariants were identified for such disciplines as «Linear algebra», «Mathematical analysis», «Probability theory and mathematical statistics» delivered to Bachelors program students of economics at several universities. Based on ...
Added: January 28, 2020
Borzykh D., ЛЕНАНД, 2021
Книга представляет собой экспресс-курс по теории вероятностей в контексте начального курса эконометрики. В курсе в максимально доступной форме изложен тот минимум, который необходим для осознанного изучения начального курса эконометрики. Данная книга может не только помочь ликвидировать пробелы в знаниях по теории вероятностей, но и позволить в первом приближении выучить предмет «с нуля». При этом, благодаря доступности изложения и небольшому объему книги, ...
Added: February 20, 2021
В. Л. Попов, Математические заметки 2017 Т. 102 № 1 С. 72-80
Мы доказываем, что аффинно-треугольные подгруппы являются борелевскими подгруппами групп Кремоны. ...
Added: May 3, 2017
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
Grines V., Gurevich E., Pochinka O., Russian Mathematical Surveys 2017 Vol. 71 No. 6 P. 1146-1148
In the paper a Palis problem on finding sufficient conditions on embedding of Morse-Smale diffeomorphisms in topological flow is discussed. ...
Added: May 17, 2017
Okounkov A., Aganagic M., Moscow Mathematical Journal 2017 Vol. 17 No. 4 P. 565-600
We associate an explicit equivalent descendent insertion to any relative insertion in quantum K-theory of Nakajima varieties.
This also serves as an explicit formula for off-shell Bethe eigenfunctions for general quantum loop algebras associated to quivers and gives the general integral solution to the corresponding quantum Knizhnik Zamolodchikov and dynamical q-difference equations. ...
Added: October 25, 2018
Danilov B.R., Moscow University Computational Mathematics and Cybernetics 2013 Vol. 37 No. 4 P. 180-188
The article investigates a model of delays in a network of functional elements (a gate network) in an arbitrary finite complete basis B, where basis elements delays are arbitrary positive real numbers that are specified for each input and each set of boolean variables supplied on the other inputs. Asymptotic bounds of the form τ ...
Added: December 2, 2019
Beklemishev L. D., Оноприенко А. А., Математический сборник 2015 Т. 206 № 9 С. 3-20
We formulate some term rewriting systems in which the number of computation steps is finite for each output, but this number cannot be bounded by a provably total computable function in Peano arithmetic PA. Thus, the termination of such systems is unprovable in PA. These systems are derived from an independent combinatorial result known as the Worm ...
Added: March 13, 2016
Levashov M., Кухаренко А. В., Вопросы защиты информации 2018 № 2 С. 66-71
Рассматривается статистическая модель одного этапа системы фрод-мониторинга транзакций в интернет-банкинге. Построен и рассчитан близкий к отношению правдоподобия критерий отсева мошеннических транзакций. Для выборочных распределений, полученных на выборке объема в 1 млн реальных транзакций, вычислены параметры эффективности этого критерия. ...
Added: June 14, 2018
Amerik E., Verbitsky M., / Cornell University. Series arXiv "math". 2021.
An MBM locus on a hyperkahler manifold is the union of all deformations of a minimal rational curve with negative self-intersection. MBM loci can be equivalently defined as centers of bimeromorphic contractions. It was shown that the MBM loci on deformation equivalent hyperkahler manifolds are diffeomorphic. We determine the MBM loci on a hyperkahler manifold ...
Added: April 7, 2022
Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18
Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...
Added: November 16, 2020
Litvin Y. V., Абрамов И. В., Технологии техносферной безопасности 2016 № 66
Advanced approach to the assessment of a random time of arrival fire fighting calculation on the object of protection, the time of their employment and the free combustion. There is some quantitative assessments with the review of analytical methods and simulation ...
Added: August 27, 2016