Open AccessCooperative optimality principals in differential games on networks
Author(s) -
Анна Тур,
Anna Tur,
Леон Аганесович Петросян,
Leon A. Petrosyan
Publication year - 2020
Publication title -
matematičeskaâ teoriâ igr i eë priloženiâ
Language(s) - English
Resource type - Journals
ISSN - 2074-9872
DOI - 10.17076/mgta_2020_4_27
Subject(s) - shapley value , differential game , core (optical fiber) , differential (mechanical device) , bondareva–shapley theorem , mathematical economics , cooperative game theory , value (mathematics) , class (philosophy) , function (biology) , game theory , computer science , mathematical optimization , mathematics , repeated game , combinatorial game theory , artificial intelligence , engineering , telecommunications , machine learning , evolutionary biology , biology , aerospace engineering
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.