TITLE

Method of resolving functions in the theory of conflict-controlled processes

AUTHOR(S)
Chikrii, A.; Rappoport, I.
PUB. DATE
July 2012
SOURCE
Cybernetics & Systems Analysis;Jul2012, Vol. 48 Issue 4, p512
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The method of resolving functions is analyzed concerning the theory of conflict-controlled processes. Inverse Minkowski functionals play the key role. They are used to form special multivalued mappings and corresponding resolving functions, closely related to the parameters of the original conflict-controlled process. A modern technique of the theory of multivalued mappings is effectively used to substantiate game constructions and get substantial results on their basis. The problems related to the properties of special multivalued mappings and their selectors, which play a crucial role in proving the assertions, are brought into the foreground.
ACCESSION #
79824073

 

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