This paper presents a complete description and the results of the Looking Forward Approach for cooperative differential games with transferable utility. The approach is used for constructing game theoretical models and defining solutions for conflict-controlled processes where information about the process updates dynamically or for differential games with dynamic updating. It is supposed that players lack certain information about the dynamical system and payoff function over the whole time interval on which the game is played. At each instant, information about the game structure updates, players receive new updated information about the dynamical system and payoff functions. A resource extraction game serves as an illustration in order to compare a cooperative trajectory, imputations, and the imputation distribution procedure in a game with the Looking Forward Approach and in the original game with a prescribed duration.

Original languageEnglish
Title of host publicationFrontiers of Dynamic Games
Subtitle of host publicationGame Theory and Management, St. Petersburg, 2018
EditorsLeon A. Petrosyan, Vladimir V. Mazalov, Nikolay A. ч Zenkevich
Place of PublicationBirkhäuser, Cham
PublisherBirkhäuser Verlag AG
Pages175-208
ISBN (Electronic)9783030236991
ISBN (Print)9783030236984
DOIs
StatePublished - 1 Jan 2019

Publication series

NameStatic and Dynamic Game Theory: Foundations and Applications
ISSN (Print)2363-8516
ISSN (Electronic)2363-8524

    Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

    Research areas

  • Differential cooperative games, Differential games, Looking forward approach, Time consistency

ID: 51526978