Markov approximations of nonzero-sum differential games

Averboukh, Yu. V.

doi:10.35634/VM200101

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dc.contributor.author	Averboukh, Yu. V.	en
dc.date.accessioned	2020-09-29T09:46:54Z	-
dc.date.available	2020-09-29T09:46:54Z	-
dc.date.issued	2020	-
dc.identifier.citation	Averboukh, Yu. V. Markov approximations of nonzero-sum differential games / Yu. V. Averboukh. — DOI 10.35634/VM200101 // Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki. — 2020. — Vol. 1. — Iss. 30. — P. 3-17.	en
dc.identifier.issn	1994-9197	-
dc.identifier.other	http://www.mathnet.ru/php/getFT.phtml?jrnid=vuu&paperid=706&what=fullt&option_lang=eng	pdf
dc.identifier.other	1	good_DOI
dc.identifier.other	b979b8a0-5714-473a-8dd7-4cf48e34dc68	pure_uuid
dc.identifier.other	http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85085385234	m
dc.identifier.uri	http://elar.urfu.ru/handle/10995/90315	-
dc.description.abstract	The paper is concerned with approximate solutions of nonzero-sum differential games. An approximate Nash equilibrium can be designed by a given solution of an auxiliary continuous-time dynamic game. We consider the case when dynamics is determined by a Markov chain. For this game the value function is determined by an ordinary differential inclusion. Thus, we obtain a construction of approximate equilibria with the players' outcome close to the solution of the differential inclusion. Additionally, we propose a way of designing a continuous-time Markov game approximating the original dynamics. © 2020 Udmurt State University. All rights reserved.	en
dc.description.sponsorship	Russian Science Foundation, RSF: 17-11-01093	en
dc.description.sponsorship	Funding. This work was funded by the Russian Science Foundation (Project No. 17-11-01093).	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Udmurt State University	en
dc.relation	info:eu-repo/grantAgreement/RSF//17-11-01093	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki	en
dc.subject	APPROXIMATE NASH EQUILIBRIA	en
dc.subject	DIFFERENTIAL INCLUSION	en
dc.subject	MARKOV GAMES	en
dc.subject	NONZERO-SUM DIFFERENTIAL GAMES	en
dc.title	Markov approximations of nonzero-sum differential games	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.identifier.rsi	42665635	-
dc.identifier.doi	10.35634/VM200101	-
dc.identifier.scopus	85085385234	-
local.affiliation	Department of Control Systems, Krasovskii Institute of Mathematics and Mechanics, 16, ul. S. Kovalevskoi, Yekaterinburg, 620219, Russian Federation	en
local.affiliation	Institute of Natural Sciences and Mathematics, Ural Federal University, ul. Turgeneva, 4, Yekaterinburg, 620000, Russian Federation	en
local.contributor.employee	Averboukh, Yu.V., Department of Control Systems, Krasovskii Institute of Mathematics and Mechanics, 16, ul. S. Kovalevskoi, Yekaterinburg, 620219, Russian Federation, Institute of Natural Sciences and Mathematics, Ural Federal University, ul. Turgeneva, 4, Yekaterinburg, 620000, Russian Federation	ru
local.description.firstpage	3	-
local.description.lastpage	17	-
local.issue	30	-
local.volume	1	-
dc.identifier.wos	000526106800001	-
local.identifier.pure	12674216	-
local.identifier.eid	2-s2.0-85085385234	-
local.fund.rsf	17-11-01093	-
local.identifier.wos	WOS:000526106800001	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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