On stability in game problems of finding Nash set

A finite game of several players in the case of linear payoff functions is considered. Stability of the problem of finding the set of Nash equilibrium situations is investigated. The formula of the stability radius of this problem is derived. Mathematics Subject Classification 2000: 90C27, 90C29...

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Main Authors: Sergey E. Bukhtoyarov, Kirill G. Kuzmin
Format: Article
Language:English
Published: Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova 2005-01-01
Series:Computer Science Journal of Moldova
Subjects:
Online Access:http://www.math.md/files/csjm/v12-n3/v12-n3-(pp381-386).pdf
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spelling doaj-4af19884db8e4e3fa6b8703895b77b7c2020-11-24T23:11:14ZengInstitute of Mathematics and Computer Science of the Academy of Sciences of MoldovaComputer Science Journal of Moldova1561-40422005-01-01123(36)381386On stability in game problems of finding Nash setSergey E. Bukhtoyarov0Kirill G. Kuzmin1Belarusian State University ave. Fr. Skoriny, 4, Minsk, 220050, BelarusBelarusian State University ave. Fr. Skoriny, 4, Minsk, 220050, BelarusA finite game of several players in the case of linear payoff functions is considered. Stability of the problem of finding the set of Nash equilibrium situations is investigated. The formula of the stability radius of this problem is derived. Mathematics Subject Classification 2000: 90C27, 90C29.http://www.math.md/files/csjm/v12-n3/v12-n3-(pp381-386).pdfnon-cooperative finite gameNash equilibrium situationstability radius
collection DOAJ
language English
format Article
sources DOAJ
author Sergey E. Bukhtoyarov
Kirill G. Kuzmin
spellingShingle Sergey E. Bukhtoyarov
Kirill G. Kuzmin
On stability in game problems of finding Nash set
Computer Science Journal of Moldova
non-cooperative finite game
Nash equilibrium situation
stability radius
author_facet Sergey E. Bukhtoyarov
Kirill G. Kuzmin
author_sort Sergey E. Bukhtoyarov
title On stability in game problems of finding Nash set
title_short On stability in game problems of finding Nash set
title_full On stability in game problems of finding Nash set
title_fullStr On stability in game problems of finding Nash set
title_full_unstemmed On stability in game problems of finding Nash set
title_sort on stability in game problems of finding nash set
publisher Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova
series Computer Science Journal of Moldova
issn 1561-4042
publishDate 2005-01-01
description A finite game of several players in the case of linear payoff functions is considered. Stability of the problem of finding the set of Nash equilibrium situations is investigated. The formula of the stability radius of this problem is derived. Mathematics Subject Classification 2000: 90C27, 90C29.
topic non-cooperative finite game
Nash equilibrium situation
stability radius
url http://www.math.md/files/csjm/v12-n3/v12-n3-(pp381-386).pdf
work_keys_str_mv AT sergeyebukhtoyarov onstabilityingameproblemsoffindingnashset
AT kirillgkuzmin onstabilityingameproblemsoffindingnashset
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