Кафедра математической теории игр и статистических решений

Research Output 1968 2020

2019

Applying Cooperative Games with Coalition Structure for Data Clustering

Bure, V. M. & Staroverova, K. Y., 1 Aug 2019, In : Automation and Remote Control. 80, 8, p. 1541-1551

Research output

A-Subgame Concept and the Solutions Properties for Multistage Games with Vector Payoffs

Kuzyutin, D., Pankratova, Y. & Svetlov, R., 1 Jan 2019, Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG, p. 85-102 18 p. (Static and Dynamic Game Theory: Foundations and Applications).

Research outputpeer-review

Sustainable development
Multicriteria Games
Time Consistency
Trajectories
Game
Infinite Games
Nonzero-sum Games
Coalitions
Nash Equilibrium
Deviation

Cooperative Dynamic Games with Control Lags

Yeung, D. W. K. & Petrosyan, L. A., Jun 2019, In : Dynamic Games and Applications. 9, 2, p. 550-567

Research output

Dynamic Games
Cooperative Game
Optimization Theorems
Optimality Principle
Game

Dynamically Consistent Bi-level Cooperation of a Dynamic Game with Coalitional Blocs

Petrosyan, L. A. & Yeung, D. W. K., 1 Jan 2019, Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG, p. 209-230 22 p. (Static and Dynamic Game Theory: Foundations and Applications).

Research outputpeer-review

Dynamic Games
Coalitions
Dynamic games
Shapley Value
Directly proportional

Endogenous Formation of Cooperation Structure in TU Games

Khmelnitskaya, A., Parilina, E. & Sedakov, A., 1 Sep 2019, Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG, p. 49-64 16 p. (Static and Dynamic Game Theory: Foundations and Applications).

Research outputpeer-review

TU Game
Centrality
Comparative Analysis
Evaluation
Graph in graph theory

Equilibrium and cooperation in repeated hierarchical games

Petrosyan, L. & Pankratova, Y., 1 Jan 2019, Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. Khachay, M., Pardalos, P. & Kochetov, Y. (eds.). Springer, p. 685-696 12 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11548 LNCS).

Research outputpeer-review

Nash Equilibrium
Game
Resource allocation
Cooperative Behavior
Resources

Game of competition for opinion with two centers of influence

Mazalov, V. & Parilina, E., 1 Jan 2019, Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. Khachay, M., Pardalos, P. & Kochetov, Y. (eds.). Springer, p. 673-684 12 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11548 LNCS).

Research outputpeer-review

Game
Stars
Star
Opinion Dynamics
Euler equations
1 Citation (Scopus)
Open Access
Multicriteria Games
Imputation
Shapley Value
Path
Vector-valued Functions

Modeling the behaviour of economic agents as a response to information on tax audits

Kumacheva, S., Gubar, E., Zhitkova, E. & Tomilina, G., 1 Jan 2019, Modeling and Simulation of Social-Behavioral Phenomena in Creative Societies - 1st International EURO Mini Conference, MSBC 2019, Proceedings. Agarwal, N., Sakalauskas, L. & Weber, G-W. (eds.). Springer, p. 96-111 16 p. (Communications in Computer and Information Science; vol. 1079).

Research outputpeer-review

Audit
Tax
Taxation
Economics
Modeling
Boundary Problem
Nonlinear systems
Perturbation
Robot Manipulator
Control Function
Iteration Method
Differential Games
Maximin
Iterative Procedure
Game Theory
4 Citations (Scopus)
Open Access
Differential Games
Economics
Nash Equilibrium
Maximise
Game

Optimal Impulse Control of SIR Epidemics Over Scale-Free Networks

Taynitskiy, V., Gubar, E. & Zhu, Q., Aug 2019, Game Theory for Networking Applications. Springer, p. 119-129 (EAI/Springer Innovations in Communication and Computing book series (EAISICC)).

Research outputpeer-review

Complex networks
Controllers
Experiments
Malware
Open Access
Costs
Decomposition
Telecommunication systems
Freight transportation
Uncertainty

Solution of the differential game with hybrid structure

Громова, Е. В. & Магнитская, Н. Г., 2019, Contributions to Game Theory and Management. Vol. 12. p. 159-176

Research outputpeer-review

Stable coalition structures in dynamic competitive environment

Parilina, E. & Sedakov, A., 15 Aug 2019, Games in Management Science. Pineau, P-O., Sigué, S. & Taboubi, S. (eds.). Springer, p. 381-396 (International Series in Operations Research and Management Science; vol. 280).

Research outputpeer-review

Coalitions
Profitability
Profit
Redistribution
Game theory

Stochastic game of data transmission with three asymmetric players

Сунь, Ф. & Парилина, Е. М., 2019, CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XII. Petrosyan, LA. & Zenkevich, NA. (eds.). Издательство Санкт-Петербургского университета, p. 303-315 13 p. (Contributions to Game Theory and Management; vol. 12).

Research outputpeer-review

Data communication systems
Open Access
Game
Solution Concepts
Optimal Solution
Time Consistency
Strong Consistency

Utilization of large-sized dolomite by-product particles and losses of cations from acidic soil

Litvinovich, A., Salaev, I., Pavlova, O., Lavrishchev, A., Bure, V. & Saljnikov, E., 1 Jan 2019, In : Communications in Soil Science and Plant Analysis.

Research output

dolomite
acid soils
cations
cation
dropouts
Open Access
Spatial Analysis
kriging
statistics
logit analysis
Logistic Models
2018

A Survey on Cooperative Stochastic Games with Finite and Infinite Duration

Parilina, E., 2018, CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI. Petrosyan, LA. & Zenkevich, NA. (eds.). Издательство Санкт-Петербургского университета, p. 129-195 67 p. (Contributions to Game Theory and Management; vol. 11).

Research outputpeer-review

A System of Models for Constructing a Progressive Income Tax Scale

Chistyakov, S. V., Uspasskaya, I. S., Kvitko, A. N. & Kichinsky, D. B., 31 Dec 2018, In : IFAC-PapersOnLine. 51, 32, p. 474-478 5 p.

Research output

Taxation
Mathematical models

Characteristic functions in a linear oligopoly TU game

Sedakov, A., 1 Jan 2018, Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG, p. 219-235 17 p. (Static and Dynamic Game Theory: Foundations and Applications).

Research outputpeer-review

TU Game
Oligopoly
Characteristic Function
Supermodularity
Superadditivity
1 Citation (Scopus)
Equations of motion
1 Citation (Scopus)

Cooperative differential games with transferable payoffs

Petrosyan, L. A. & Zaccour, G., 12 Aug 2018, Handbook of Dynamic Game Theory. Springer, p. 595-632 38 p.

Research outputpeer-review

Cooperative Game
Differential Games
Time Consistency
Cooperative Control
Instant

Design of the stabilizing control of the orbital motion in the vicinity of the collinear libration point L1 using the analytical representation of the invariant manifold

Maliavkin, G. P., Shmyrov, A. S. & Shmyrov, V. A., 2 May 2018, 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. Kustova, E. V., Leonov, G. A., Yushkov, M. P., Morosov, N. F. & Mekhonoshina, M. A. (eds.). American Institute of Physics, Vol. 1959. 040010

Research outputpeer-review

libration
orbits
energy consumption
geocentric coordinates
spacecraft
15 Citations (Scopus)

Effect of remediation strategies on biological activity of oil-contaminated soil - A field study

Поляк, Ю. М., Бакина, Л. Г., Чугунова, М. В., Маячкина, Н. В., Герасимов, А. О. & Буре, В. М., 2018, In : International Biodeterioration and Biodegradation. 126, p. 57-68

Research output

1 Citation (Scopus)

Evolution of Risk-Statuses in One Model of Tax Control

Kumacheva, S., Gubar, E., Zhitkova, E. & Tomilina, G., 2018, Frontiers of Dynamic Games. Birkhäuser Verlag AG, p. 121-138

Research outputpeer-review

Existence of Stable Coalition Structures in Four-person Games

Sun, F. & Parilina, E., 2018, CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI. Petrosyan, LA. & Zenkevich, NA. (eds.). Издательство Санкт-Петербургского университета, p. 224-248 25 p. (Contributions to Game Theory and Management; vol. 11).

Research outputpeer-review

Influence of limestone and dolomite on the duration of liming effect and Ca losses in Umbric Albeluvisols Abruptic

Буре, В. М., Litvinovich, A., Lavrishchev, A., Pavlova, O., Kovleva, A. & Saljnikov, E., 2018, In : Agrochimica.

Research output

1 Citation (Scopus)

Nontransferable utility cooperative dynamic games

Yeung, D. W. K. & Petrosyan, L. A., 12 Aug 2018, Handbook of Dynamic Game Theory. Springer, p. 633-670 38 p.

Research outputpeer-review

Dynamic Games
Cooperative Game
Differential Games
Optimality Principle
Game