Contents

Doklady Mathematics


Vol. 110, No. 2, 2024


MATHEMATICS

On Solvability of a Pursuit Game with Nonlinear Dynamics in Hilbert Space

A. V. Chernov p. S333  abstract

Model of a Two-Level Hierarchical System with Cooperative Behavior of Lower-Level Elements

M. A. Gorelov p. S346  abstract

Dynamic Models of Competition with Endogenous Network Formation: The Case of Constant Output

V. A. Kochevadov, and A. A. Sedakov p. S357  abstract

Intransitive Sets of Financial Strategies with Constant Levels

A. A. Kovalchuk p. S367  abstract

On Integer Imputations of the Core of Totally Balanced Cooperative Games

V. V. Morozov, and S. I. Romanov p. S376  abstract

Approximate Equilibrium in a Finitely Repeated Prisoner’s Dilemma

A. M. Pisareva, and E. M. Parilina p. S383  abstract

Intransitively Winning Chess Players’ Positions

A. Poddiakov p. S391  abstract

One-Armed Bandit Problem and the Mirror Descent Algorithm

D. N. Shiyan p. S399  abstract

Coalition Pareto-Optimal Solution in a Nontransferable Game

V. I. Zhukovskiy, L. V. Zhukovskaya, and L. V. Smirnova p. S409  abstract

UCB Strategies and Optimization of Batch Processing in a One-Armed Bandit Problem

S. V. Garbar, A. V. Kolnogorov, and A. N. Lazutchenko p. S422  abstract

Potential in Congestion Game with Different Types of Vehicles

N. N. Nikitina, and V. V. Mazalov p. S433  abstract

Potential Game in a Parallel Transportation Network with Symmetric Externalities

Yu. V. Chirkova p. S440  abstract

Multistage Model for Renewable Resource Extraction by Players of Two Types

D. V. Kuzyutin, N. V. Smirnova, and I. R. Tantlevskij p. S445  abstract

How to Maximize the Total Strength of Survivors in a Battle and Tournament in Gladiator Game Models

M. A. Khodiakova p. S452  abstract

On the Number of Pursuers That Guarantees the Capture of the Evader in a Game on the Graph of Icosahedral Edges

A. A. Azamov, and A. G. Holboyev p. S463  abstract

Models of Optimal Organization of Tax Inspection

A. A. Vasin, and N. I. Tsyganov p. S468  abstract

Dynamic Models of Competition and Cooperation in Cournot Oligopoly Taking into Account the Environmental Impact

P. D. Demchuk, A. V. Korolev, and G. A. Ugolnitsky p. S473  abstract

Cooperative Multicriteria Dynamic Games: Application to Transportation Problems

A. N. Rettieva p. S487  abstract

Minimax Differential Game with a Fixed End Moment

V. N. Ushakov, A. M. Tarasyev, and A. V. Ushakov p. S495  abstract

Large Language Models in Cyberattacks

S. V. Lebed, D. E. Namiot, E. V. Zubareva, P. V. Khenkin, A. A. Vorobeva, and D. A. Svichkar p. S510  abstract