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A Characterization of Sub-game Perfect Equilibria for SDEs of Mean-Field Type
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematical Statistics.ORCID iD: 0000-0002-6608-0715
2016 (English)In: Dynamic Games and Applications, ISSN 2153-0785, E-ISSN 2153-0793, Vol. 6, no 1, 55-81 p.Article in journal (Refereed) PublishedText
Abstract [en]

We study a class of dynamic decision problems of mean-field type with time-inconsistent cost functionals and derive a stochastic maximum principle to characterize sub-game perfect equilibrium points. Subsequently, this approach is extended to a mean-field game to construct decentralized strategies and obtain an estimate of their performance.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 6, no 1, 55-81 p.
Keyword [en]
Time-inconsistent stochastic control, Maximum principle, Mean-field SDE, Equilibrium, Mean-field game
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-183184DOI: 10.1007/s13235-015-0140-8ISI: 000369297700003ScopusID: 2-s2.0-84957566168OAI: oai:DiVA.org:kth-183184DiVA: diva2:908947
Note

QC 20160303

Available from: 2016-03-03 Created: 2016-03-03 Last updated: 2016-03-03Bibliographically approved

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Djehiche, Boualem
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