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An Extension of a Class of Cost Sharing Methods to the Solutions of the Class of Two-Person Cooperative Games
Высшая школа экономики
,
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
Yanovskaya E. B., Математическая теория игр и ее приложения 2017 Т. 9 № 3 С. 93-127
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 is extended to a class ...
Added: November 27, 2017
Yanovskaya E. B., / Высшая школа экономики. Series EC "Economics". 2016. No. 127.
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 ...
Added: October 14, 2016
Yanovskaya E. B., / Высшая школа экономики. Series WP BRP "Economics/EC". 2014. No. WP BRP 85/EC/2014.
A weakening of covariance property for solutions of cooperative games with transferable utilities - self-covariance - is defined. Self-covariant solutions are positively homogenous and satisfy a "restricted" translation covariance such that feasible shifts are only the solution vectors themselves and their multipliers. A description of all nonempty, efficient, anonymous, self-covariant, and single-valued solution for the ...
Added: December 17, 2014
E.B.Yanovskaya, Automation and Remote Control 2018 Vol. 79 No. 12 P. 2237-2258
A weakening of the property covariance named self-covariance is defined. Sels-covariant solutions are positively homogenous and satisfy a "restricted" translation covariance so that feasible shifts are only the solution vectors and their multipliers. A description of all non-empty, single-valued,efficient,anonytmous, weakly and self-covariant solutions inn the class of two-person games is given. As demonstrated below, among ...
Added: October 29, 2019
Yanovskaya E. B., Математическая теория игр и ее приложения 2016 Т. 8 № 3 С. 100-133
A weakening of covariance property for solutions of cooperative games with transferable utilities -- self-covariance -- is defined.
Self-covariant solutions are positively homogenous and satisfy a "restricted" translation covariance such that feasible shifts are only the solution vectors themselves and their multipliers. A description of all nonempty efficient, anonymous, self-covariant, and single-valued solution for ...
Added: October 13, 2016
Enatskaya N., "Издательство Юрайт" (Москва), 2020
The test assignments are given to the main topics of the textbook Probability theory and mathematical statistics for engineering and technical areas (Moscow, 2017, Yurayt ed.) In two parts: tests - tasks and tests - theoretical exam questions. The tests of each part are presented in two forms: complete (with solutions and answers) and - ...
Added: January 26, 2021
Elena Yanovskaya, Automation and Remote Control 2016 Vol. 77 No. 9 P. 1699- 1710
On the class of cooperative games with restricted cooperation the most popular solution -- the core -- may
be unbounded. The bounded core is the union of all bounded faces of the core. It can be empty even if
the core itself is not empty. Two axiomatizations of the bouded core atre ngiven: the first one
is ...
Added: October 13, 2016
Митрофанов С. А., Рождественский А., Makarov S., Инновации 2009 № 8 С. 91-97
The main idea of the article is a possibility of creating software which could generate an expert estimation of START program innovation project description stored in a certain structure file. The software algorithm and some features of the software as long as the future of this kind of approach to the problem are also discussed. ...
Added: December 10, 2012
Георгиевский А. Б., Вестник Санкт-Петербургского университета. Серия 8. Менеджмент 2022 Т. 21 № 1 С. 74-104
The article defines the concept of “servitization”, identifies its features, and outlines the antecedents and consequences of servitization for the company. The analysis of academic literature on the concept of servitization was used as a research method. The author presents two approaches to the definition of the concept of “servitization”: the transformation process and the innovation of the ...
Added: June 7, 2022
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
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
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., Математическая теория игр и ее приложения 2013 Т. 5 № 3 С. 88-114
The lexicographic prekernel of a cooperative game with transferable utilities (TU) is a subset of the payoff vectors lexicographically minimizing the vector of maximal surpluses of one player over another one. This solution is non-empty for every TU game, it is efficient, is contained both in the prekernel and in the least core, and may ...
Added: March 20, 2014
Георгиевский А. Б., Вестник Московского университета. Серия 6: Экономика 2021 № 3 С. 158-200
The article is devoted to studying approaches to determining a value proposition and creating an ecosystem value proposition in the retail sector. The aim of this paper is to identify the components of a value proposition based on selling solutions in the ecosystem of retailers. The object of the research is the value proposition based on selling ...
Added: June 10, 2022
Shvedov A. S., Математические заметки 2021 Т. 110 № 2 С. 282-288
It is well known that, for cooperative games with transferable utility (and with crisp
payoffs), the set of reasonable imputations is nonempty. It is also known for what values of ε the
set of reasonable imputations belongs to the ε-core. Then the ε-core is also nonempty. This result
is of considerable interest, because the 0-core of a cooperative ...
Added: August 5, 2021
191574970, Functional Analysis and Its Applications 2006 Vol. 40 No. 2 P. 81-90
It is well known that every module M over the algebra ℒ(X) of operators on a finite-dimensional space X can be represented as the tensor product of X by some vector space E, M ≅ = E ⊗ X. We generalize this assertion to the case of topological modules by proving that if X is a stereotype space with the stereotype approximation property, then for each stereotype module M over the ...
Added: September 23, 2016
Losev A. S., Slizovskiy S., JETP Letters 2010 Vol. 91 P. 620-624
Added: February 27, 2013
Ilyashenko Y., Яковенко С. Ю., М. : МЦНМО, 2013
Предлагаемая книга—первый том двухтомной монографии, посвящённой аналитической теории дифференциальных уравнений.
В первой части этого тома излагается формальная и аналитическая теория нормальных форм и теорема о разрешении особенностей для векторных полей на плоскости.
Вторая часть посвящена алгебраически разрешимым локальным задачам теории аналитических дифференциальных уравнений , квадратичным векторным полям и проблеме локальной классификации ростков векторных полей в комплексной области ...
Added: February 5, 2014
Kalyagin V.A., Koldanov A.P., Koldanov P.A. et al., Physica A: Statistical Mechanics and its Applications 2014 Vol. 413 No. 1 P. 59-70
A general approach to measure statistical uncertainty of different filtration techniques for market network analysis is proposed. Two measures of statistical uncertainty are introduced and discussed. One is based on conditional risk for multiple decision statistical procedures and another one is based on average fraction of errors. It is shown that for some important cases ...
Added: July 19, 2014
Maslov V., Теоретическая и математическая физика 2019 Т. 201 № 1 С. 65-83
We study the process of a nucleon separating from an atomic nucleus from the mathematical standpoint
using experimental values of the binding energy for the nucleus of the given substance. A nucleon becomes
a boson at the instant of separating from a fermionic nucleus. We study the further transformations of
boson and fermion states of separation in a ...
Added: November 1, 2019
Pahomov F., Известия РАН. Серия математическая 2016 Т. 80 № 6 С. 173-216
Полимодальная логика доказуемости
GLP была введена Г. К. Джапаридзе в 1986 г. Она является логикой доказуемости для ряда цепочек предикатов доказуемости возрастающей силы. Всякой полимодальной логике соответствует многообразие полимодальных алгебр. Л. Д. Беклемишевым и А. Виссером был поставлен вопрос о разрешимости элементарной теории свободной GLP-алгебры, порожденной константами 0, 1 [1]. В этой статье для любого натурального n решается аналогичный вопрос для логик GLPn, являющихся ...
Added: December 4, 2017
Sinelshchikov D., Кудряшов Н. А., Theoretical and Mathematical Physics 2018 Vol. 196 No. 2 P. 1230-1240
We study a family of nonautonomous generalized Liénard-type equations. We consider the equivalence problem via the generalized Sundman transformations between this family of equations and type-I Painlevé–Gambier equations. As a result, we find four criteria of equivalence, which give four integrable families of Liénard-type equations. We demonstrate that these criteria can be used to construct ...
Added: February 9, 2019
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
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