Кафедра математической теории игр и статистических решений

Research Output 1968 2020

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2019

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

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

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
2018

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)

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
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

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

S-strongly time-consistency in differential games

Громова, Е. В. & Петросян, Л. А., 2018, Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG, p. 203-217 15 p.

Research outputpeer-review

2016

Applications in Cooperative Public Goods Provision

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 321-369 49 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

14 Citations (Scopus)

Collaborative Environmental Management

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 371-404 34 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

Cooperation with Technology Switching

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 405-437 33 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

2 Citations (Scopus)

Impact of Propagation Information in the Model of Tax Audit

Gubar, E., Kumacheva, S., Zhitkova, E. & Porokhnyavaya, O., 2016, Recent Advances in Game Theory and Applications. Springer, p. 285. 91-110

Research output

Preface

Petrosyan, L. A. & Mazalov, V. V., 1 Jan 2016, Prefece. p. v-vi (Static and Dynamic Game Theory: Foundations and Applications).

Research outputpeer-review

Subgame Consistency in NTU Cooperative Dynamic Games

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 285-317 33 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

Subgame Consistency in Randomly-Furcating Cooperative Stochastic Differential Games

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 85-105 21 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

Subgame Consistency in Randomly-Furcating Cooperative Stochastic Dynamic Games

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 223-250 28 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

Subgame Consistency Under Asynchronous Players' Horizons

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 107-133 27 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

Subgame Consistency Under Furcating Payoffs, Stochastic Dynamics and Random Horizon

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 251-284 34 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

Subgame Consistent Cooperation in Stochastic Differential Games

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 53-84 32 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

Subgame Consistent Cooperative Solution in Differential Games

Yeung, D. W. K., Petrosyan, L. A., Yeung, DWK. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 15-51 37 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

Subgame Consistent Cooperative Solution in Dynamic Games

Yeung, D. W. K., Petrosyan, L. A., Yeung, DWK. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 165-199 35 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

Subgame Consistent Cooperative Solution in NTU Differential Games

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 135-161 27 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

Subgame Consistent Cooperative Solution in Random Horizon Dynamic Games

Yeung, D. W. K. & Petrosyan, LA., 2016, SUBGAME CONSISTENT COOPERATION: A COMPREHENSIVE TREATISE. Springer, p. 201-222 22 p. (Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research; vol. 47).

Research outputpeer-review

6 Citations (Scopus)

The Shapley Value as a Sustainable Cooperative Solution in Differential Games of Three Players

Gromova, E., 2016, Recent Advances in Game Theory and Applications, Static & Dynamic Game Theory: Foundations & Applications. Springer, p. 280с. 67-91

Research output

Subgame Consistent Cooperative Exploitation of Species in Ecosystems with Faxcilitation

Yeung, D. W. K., Petrosyan, L. A. & Zhang, Y., 2015, Game Theory and Applications, L.Petrosyan, V.Mazalov eds.. Nova Science Publishers, Inc., p. 239 р, 185-204

Research output

2014

Subgame Consistent Cooperative Provision of Public Goods Under Accumulation and Payoff Uncertainties

Yeung, D. W. K. & Petrosyan, L. A., 2014, Dynamic Games in Economics, Dynamic Modeling and Econometrics in Economics and Finance. Springer, p. 316c,, 289-315

Research output

Subgame Consistent Solution for a Dynamic Game of Pollution

Yeung, D. W. K. & Petrosyan, L. A., 2014, Advances in Economics and Optimization. Collected Scientific Studies Dedicated to the Memory of L. V. Kantorovich. Nova Science Publishers, Inc., p. 252, 95-112

Research output

2013

A Class of Differential Games with Random Terminal Time. Chapter 12.

Shevkoplyas, E. V. & Kostyunin, S. Y., 2013, Game Theory and Applications. Nova Science Publishers, Inc., p. 222 стр.,177-192

Research output

1 Citation (Scopus)

Strong Strategic Support of Cooperative Solutions in Differential Games

Chistyakov, S. & Petrosyan, L., 2013, Advances in Dynamic Games Theory, Applications, and Numerical Methods for Differential and Stochastic Games (Annals of the International Society of Dynamic Games, Volume 12). Springer, p. 421 стр., 99-107

Research output

The Game-Theoretical Model of Service Selection in Company

Bure, V. M. & Sergeeva, A. A., 2013, Game Theory and Applications. Nova Science Publishers, Inc., p. 222 стр., 27-44

Research output

2012

A Notational Note on Agreeable Solutions in Cooperative Differential Games

Petrosyan, L. A. & Yeung, D. W. K., 2012, Game Theory and Applications. Nova Science Publishers, Inc., p. 265c., 203-206

Research output

Collaborative environmental management under uncertainty

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 271-293 23 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Environmental Management
Environmental management
Tax
Taxation
Pollution

Cost-saving joint venture under uncertainty

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 239-270 32 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Uncertainty
Costs
Shapley Value
Infinite Horizon
Cost savings

Discrete-time cooperative games under uncertainty

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 343-365 23 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Dynamic Games
Cooperative Game
Stochastic Dynamics
Stochastic Games
Discrete-time

Dynamically stable cost-saving joint venture

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 111-146 36 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Trajectories
Economics
Optimal Trajectory
Costs
Sufficient

Dynamically stable dormant firm cartel

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 177-202 26 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Profitability
Profit
Oligopoly
Output
Optimal Trajectory

Dynamic consistency in discrete-time cooperative games

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 323-342 20 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Dynamic Games
Cooperative Game
Discrete-time
Game Theory
Game theory

Dynamic economic optimization: Group optimality and individual rationality

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 47-76 30 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Rationality
Optimality
Economics
Tsunamis
Optimization

Dynamic strategic interactions in economic systems

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 7-45 39 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Economics
Interaction
Globalization
Feedback
Economic systems

Subgame consistent dormant firm cartel

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 295-321 27 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Uncertainty
Business
Cartel

Subgame consistent economic optimization: An advanced cooperative dynamic game analysis

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 1-395 395 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Subgame consistent economic optimization under uncertainty

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 203-237 35 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Economics
Stochastic Differential Games
Uncertainty
Optimization
Decision making

The Game-Theoretic Emission Reduction Model

Kozlovskaya, N. V., 2012, Game Theory and Applications.Vol.15. Nova Science Publishers, Inc., p. 228 стр., , 105-124

Research output

Time consistency and optimal-trajectory-subgame consistent economic optimization

Yeung, D. W. K. & Petrosyan, L. A., 1 Jan 2012, Static and Dynamic Game Theory: Foundations and Applications. 9780817682613 ed. Birkhäuser Verlag AG, p. 77-110 34 p. (Static and Dynamic Game Theory: Foundations and Applications; no. 9780817682613).

Research outputpeer-review

Time Consistency
Optimal Trajectory
Optimality
Non-cooperative Game
Trajectories
2009

Differential Coaliitonal Environmental Management Game

Petrosyan, L. A. & Kozlovskaya, N. V., 2009, Game Theory and Applications. Nova Science Publishers, Inc., p. 199 стр.,104-113

Research output

Time Consistency in Cooperative Differential Games

Zenkevich, N. A., 2009, Game Theory and Applications. Nova Science Publishers, Inc., p. 191 с., 167-189

Research output

2007
9 Citations (Scopus)

Subgame consistent solutions for a class of cooperative stochastic differential games with nontransferable payoffs

Yeung, D. W. K., Petrosyan, L. & Yeung, P. M., 1 Jan 2007, Annals of the International Society of Dynamic Games. Birkhäuser Verlag AG, p. 153-170 18 p. (Annals of the International Society of Dynamic Games; vol. 9).

Research outputpeer-review

Stochastic Differential Games
Cooperative Game
Differential Games
Class
Stochastic differential games