Geodesic
About absence maximin strategy in to one differential game
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 3 (2010), pp. 13-20 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article, we consider cooperative games with side payments under uncertainly. We formalize and prove existence of such game solution, guaranteed for winnings and risk.
Keywords: differential games, cooperative games, uncertainly, risk. 
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K. N. Kudryavtsev. About absence maximin strategy in to one differential game. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 3 (2010), pp. 13-20. http://geodesic.mathdoc.fr/item/VYURM_2010_3_a1/

[1] V. I. Zhukovskii, Kooperativnye igry pri neopredelennosti i ikh prilozheniya, Editorial URSS, M., 1999, 340 pp. | MR

[2] K. N. Kudryavtsev, “Funktsii riska v odnoi kooperativnoi differentsialnoi igre”, Informatsionnye tekhnologii modelirovaniya i upravleniya, 2008, no. 6(49), 665–674

[3] K. N. Kudryavtsev, “O garantirovannykh po vyigrysham i riskam resheniyakh v nekotorykh kooperativnykh igrakh”, Nauka YuUrGU, Materialy 61-i nauchnoi konferentsii. Sektsiya estestvenno-nauchnykh i gumanitarnykh nauk, v. 2, Izd-vo YuUrGU, Chelyabinsk, 2009, 149–153

[4] N. N. Krasovskii, A. I. Subbotin, Pozitsionnye differentsialnye igry, Nauka, M., 1974, 455 pp. | MR | Zbl

[5] V. A. Kolemaev, Matematicheskaya ekonomika, YuNITI, M., 2002

[6] L. S. Pontryagin, Obyknovennye differentsialnye uravneniya, GIFML, M., 1961, 212 pp.

[7] L. Y. Savage, “The theory of statistical decusion”, J. American Statistic Association, 46 (1951), 55–67 | DOI | Zbl