Cooperative optimality principals in differential games on networks

Анна Тур, Anna Tur, Леон Аганесович Петросян, Leon Petrosyan
2020 Mathematical Game Theory and Applications  
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 tau-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 tau-value are explicitly constructed.
doi:10.17076/mgta_2020_4_27 fatcat:ciowdasotnet7p52q6c5crdms4