Geodesic
Finitely additive measures and extensions of the game problems with constraints of asymptotic character
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2010), pp. 89-111 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The maximin game problem under sequential weakening of moment constraints is considered. The extension in the class of finitely additive measures realizing the asymptotic of maximin is constructed. The effectively verifiable sufficient conditions of stability “by maximin” is established.
Keywords: finitely additive measure, weak absolute continuity
Mots-clés : maximin. 
@article{VUU_2010_1_a8,
     author = {A. G. Chentsov and Yu. V. Shapar'},
     title = {Finitely additive measures and extensions of the game problems with constraints of asymptotic character},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {89--111},
     year = {2010},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2010_1_a8/}
}
TY  - JOUR
AU  - A. G. Chentsov
AU  - Yu. V. Shapar'
TI  - Finitely additive measures and extensions of the game problems with constraints of asymptotic character
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2010
SP  - 89
EP  - 111
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VUU_2010_1_a8/
LA  - ru
ID  - VUU_2010_1_a8
ER  - 
%0 Journal Article
%A A. G. Chentsov
%A Yu. V. Shapar'
%T Finitely additive measures and extensions of the game problems with constraints of asymptotic character
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2010
%P 89-111
%N 1
%U http://geodesic.mathdoc.fr/item/VUU_2010_1_a8/
%G ru
%F VUU_2010_1_a8
A. G. Chentsov; Yu. V. Shapar'. Finitely additive measures and extensions of the game problems with constraints of asymptotic character. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2010), pp. 89-111. http://geodesic.mathdoc.fr/item/VUU_2010_1_a8/

[1] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1968, 475 pp. | MR

[2] Burbaki N., Obschaya topologiya. Osnovnye struktury, Nauka, M., 1968, 272 pp. | MR

[3] Engelking R., Obschaya topologiya, Mir, M., 1986, 751 pp. | MR

[4] Chentsov A. G., “Rasshireniya abstraktnykh zadach o dostizhimosti: nesekventsialnaya versiya”, Trudy Instituta matematiki i mekhaniki UrO RAN, 13, no. 2, 2007, 184–217

[5] Chentsov A. G., Asymptotic attainability, Kluwer Academic Publishers, Dordrecht–Boston–London, 1997, 322 pp. | MR | Zbl

[6] Rao K. P. S. B., Rao M. B., Theory of charges. A Study of finitely additive measures, Acad. Press, New York, 1983, 253 pp. | MR

[7] Chentsov A. G., Finitely additive measures and relaxations of extremal problems, Plenum Publishing Corporation, New York–London–Moscow, 1996, 244 pp. | MR | Zbl

[8] Neve Zh., Matematicheskie osnovy teorii veroyatnostei, Mir, M., 1969, 309 pp. | MR | Zbl

[9] Danford H., Shvarts Dzh. T., Lineinye operatory. Obschaya teoriya, Izdatelstvo inostrannoi literatury, M., 1962, 895 pp.

[10] Chentsov A. G., Elementy konechno-additivnoi teorii mery, v. I, RIO UGTU-UPI, Ekaterinburg, 2008, 388 pp.

[11] Chentsov A. G., Morina S. I., Extensions and Relaxations, Kluwer Academic Publishers, Dordrecht–Boston–London, 2002, 408 pp. | MR | Zbl

[12] Varga Dzh., Optimalnoe upravlenie differentsialnymi i funktsionalnymi uravneniyami, Nauka, M., 1977, 624 pp. | MR