Scientific publications

А.В. Тур, Л.А. Петросян.

Кооперативные принципы оптимальности в дифференциальных играх на сетях

// Математическая Теория Игр и ее Приложения, т. 12, в. 4. 2020. C. 93-111

Anna V. Tur, Leon A. Petrosyan. Cooperative optimality principals in differential games on networks // Mathematical Game Theory and Applications. Vol 12, No 4. 2020. Pp. 93-111

Keywords: differential games, games on networks, cooperative game

The paper describes a class of differential games on networks. 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. The core, the Shapley value and the τ -value are used as cooperative optimality principles. The results are demonstrated on a model of a differential research investment game, where the Shapley value and the τ -value are explicitly constructed.

DOI: 10.17076/mgta_2020_4_27

Indexed at RSCI, RSCI (WS)

vol_12_4_93-111_tur.pdf (567 Kb, total downloads: 114)

Last modified: December 23, 2020