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JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2025 Volume 21, Issue 2, Pages 246–254 (Mi vspui661)

Applied mathematics

The $\tau$-value in differential game with pairwise interactions

Y. He, L. A. Petrosyan

St. Petersburg State University, 7–9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: A class of cooperative differential games with pairwise interactions is considered. As a solution, the $\tau$-value is proposed. To simplify the calculations, a special characteristic function is introduced. Finally, the results are illustrated with a three-person joint venture differential game with pairwise interactions.

Keywords: cooperative games, differential network games, pairwise interaction, $\tau$-value.

UDC: 519.83

MSC: 91A25

Received: November 21, 2024
Accepted: March 13, 2025

Language: English

DOI: 10.21638/spbu10.2025.206



© Steklov Math. Inst. of RAS, 2025