Cooperative optimality principals in differential games on networks | Zendy

Анна Тур | Zendy; Anna Tur | Zendy; Леон Аганесович Петросян | Zendy; Leon A. Petrosyan | Zendy

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Cooperative optimality principals in differential games on networks

Author(s) -

Анна Тур,

Anna Tur,

Леон Аганесович Петросян,

Leon A. Petrosyan

Publication year - 2020

Publication title -

mathematical game theory and applications

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.

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