Abstract:
The abstract game problem of control and its relaxations connected with a weakening of constraints on the choice of programmed strategies are considered. In this case, the series of maximin problems is realized; for this series, the sets of admissible strategies of participants form directed systems. It is established that realized maximins are convergent. The representation of the corresponding generalized limit is established.
Keywords:
maximin, attraction set, constraints of asymptotic character.
Citation:
A. G. Chentsov, “About presentation of maximin in the game problem with constraints of asymptotic character”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3, 104–119
\Bibitem{Che10}
\by A.~G.~Chentsov
\paper About presentation of maximin in the game problem with constraints of asymptotic character
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2010
\issue 3
\pages 104--119
\mathnet{http://mi.mathnet.ru/vuu171}
\crossref{https://doi.org/10.20537/vm100312}
Linking options:
https://www.mathnet.ru/eng/vuu171
https://www.mathnet.ru/eng/vuu/y2010/i3/p104
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