Nonasymptotic mean-field games

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Mean-field games have been studied under the assumption of very large number of players. For such large systems, the basic idea consists to approximate large games by a stylized game model with a continuum of players. The approach has been shown to be useful in some applications. However, the stylized game model with continuum of decision-makers is rarely observed in practice and the approximation proposed in the asymptotic regime is meaningless for networked systems with few entities. In this paper we propose a mean-field framework that is suitable not only for large systems but also for a small world with few number of entities. The applicability of the proposed framework is illustrated through a dynamic auction with asymmetric valuation distributions.

Original languageEnglish (US)
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
PublisherIFAC Secretariat
Pages8989-8994
Number of pages6
Volume19
ISBN (Electronic)9783902823625
StatePublished - Jan 1 2014
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: Aug 24 2014Aug 29 2014

Other

Other19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
CountrySouth Africa
CityCape Town
Period8/24/148/29/14

Keywords

  • Game theory
  • Mean-field
  • Non-asymptotic

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Hamidou, T. (2014). Nonasymptotic mean-field games. In 19th IFAC World Congress IFAC 2014, Proceedings (Vol. 19, pp. 8989-8994). IFAC Secretariat.

Nonasymptotic mean-field games. / Hamidou, Tembine.

19th IFAC World Congress IFAC 2014, Proceedings. Vol. 19 IFAC Secretariat, 2014. p. 8989-8994.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hamidou, T 2014, Nonasymptotic mean-field games. in 19th IFAC World Congress IFAC 2014, Proceedings. vol. 19, IFAC Secretariat, pp. 8989-8994, 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014, Cape Town, South Africa, 8/24/14.
Hamidou T. Nonasymptotic mean-field games. In 19th IFAC World Congress IFAC 2014, Proceedings. Vol. 19. IFAC Secretariat. 2014. p. 8989-8994
Hamidou, Tembine. / Nonasymptotic mean-field games. 19th IFAC World Congress IFAC 2014, Proceedings. Vol. 19 IFAC Secretariat, 2014. pp. 8989-8994
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