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Differential games through viability theory : old and recent results

Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick (2007), Differential games through viability theory : old and recent results, in Vincent, Thomas L.; Quincampoix, Marc; Jorgensen, Steffen, Advances in Dynamic Game Theory. Numerical Methods, Algorithms, and Applications to Ecology and Economics, Springer : Berlin, p. 3-35. http://dx.doi.org/10.1007/978-0-8176-4553-3_1

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Type
Chapitre d'ouvrage
Date
2007
Book title
Advances in Dynamic Game Theory. Numerical Methods, Algorithms, and Applications to Ecology and Economics
Book author
Vincent, Thomas L.; Quincampoix, Marc; Jorgensen, Steffen
Publisher
Springer
Series title
Annals of the International Society of Dynamic Games
Series number
9
Published in
Berlin
ISBN
978-0-8176-4399-7
Pages
3-35
Publication identifier
Metadata
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Author(s)
Cardaliaguet, Pierre
Quincampoix, Marc
Saint-Pierre, Patrick
Abstract (EN)
This article is devoted to a survey of results for differential games obtained through Viability Theory. We recall the basic theory for differential games (obtained in the 1990s), but we also give an overview of recent advances in the following areas : games with hard constraints, stochastic differential games, and hybrid differential games. We also discuss several applications.
Subjects / Keywords
Game theory; Differential game; viability algorithm
JEL
C79 - Other
C73 - Stochastic and Dynamic Games; Evolutionary Games; Repeated Games