Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Semicooperative games. / Petrosyan, L. A.
в: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, № 2, 01.04.1998, стр. 62-69.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Semicooperative games
AU - Petrosyan, L. A.
PY - 1998/4/1
Y1 - 1998/4/1
N2 - The n-person differential game Γ(x0,T-t0) with prescribed duration and independent motions is considered. The regularization of the game is constructed which alters players payoffs along the so-called 'optimal trajectory' maximizing the sum of players payoffs. It is shown that in a regularized game Γα(x0,T-t0) there always exist the Nash equilibria with cooperative payoffs. Under some additional assumptions it is proved that these equilibria are strong, i.e. stable against deviations of coalitions.
AB - The n-person differential game Γ(x0,T-t0) with prescribed duration and independent motions is considered. The regularization of the game is constructed which alters players payoffs along the so-called 'optimal trajectory' maximizing the sum of players payoffs. It is shown that in a regularized game Γα(x0,T-t0) there always exist the Nash equilibria with cooperative payoffs. Under some additional assumptions it is proved that these equilibria are strong, i.e. stable against deviations of coalitions.
UR - http://www.scopus.com/inward/record.url?scp=0032036257&partnerID=8YFLogxK
M3 - статья
AN - SCOPUS:0032036257
SP - 62
EP - 69
JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
SN - 1025-3106
IS - 2
ER -
ID: 36953238