Open AccessSuperadditive extension of characteristic functions for cooperative differential games
Author(s) -
Екатерина Викторовна Громова,
Ekaterina Gromova,
Екатерина Марова,
Екатерина Марова
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_25
Subject(s) - superadditivity , mathematics , constructive , differential (mechanical device) , extension (predicate logic) , construct (python library) , function (biology) , additive function , mathematical economics , computer science , mathematical analysis , process (computing) , physics , evolutionary biology , biology , thermodynamics , programming language , operating system
The paper provides a constructive theorem that allows one to construct a superadditive characteristic function in a differential game based on a non-superadditive one. As an example, a differential game is considered in which the delta - and eta - characteristic functions are not superadditive. An additional construction is carried out and it is shown that the obtained functions satisfy superadditivity