Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
A class of differential games on networks is considered. The construction of cooperative optimality principles using a special type of characteristic function that takes into account the network structure of the game is investigated. It is assumed that interaction on the network is possible between neighboring players and between players connected by paths whose length does not exceed a given value. It is shown that in such games the characteristic function is convex even if there are cycles in the network. The core is used as cooperative optimality principles. A necessary and sufficient condition for an imputation to belong to the core is obtained. The network differential resource extraction game is investigated as an example.
Original language | English |
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Title of host publication | Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings |
Editors | Panos Pardalos, Michael Khachay, Vladimir Mazalov |
Publisher | Springer Nature |
Pages | 295-314 |
Number of pages | 20 |
ISBN (Print) | 9783031096068 |
DOIs | |
State | Published - 2022 |
Event | 21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022 - Petrozavodsk, Russian Federation Duration: 2 Jul 2022 → 6 Jul 2022 |
Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 13367 LNCS |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Conference | 21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022 |
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Country/Territory | Russian Federation |
City | Petrozavodsk |
Period | 2/07/22 → 6/07/22 |
ID: 97538987