Decomposition of Differential Games - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year :

Decomposition of Differential Games


This paper provides a decomposition technique for the purpose of simplifying the solution of certain zero-sum differential games. The games considered terminate when the state reaches a target, which can be expressed as the union of a collection of target subsets; the decomposition consists of replacing the original target by each of the target subsets. The value of the original game is then obtained as the lower envelope of the values of the collection of games resulting from the decomposition, which can be much easier to solve than the original game. Criteria are given for the validity of the decomposition. The paper includes examples, illustrating the application of the technique to pursuit/evasion games, where the decomposition arises from considering the interaction of individual pursuer/evader pairs.
Fichier principal
Vignette du fichier
1409.4624v1.pdf (452.69 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01122921 , version 1 (04-03-2015)



Adriano Festa, Richard Vinter. Decomposition of Differential Games. 2014. ⟨hal-01122921⟩
84 View
42 Download



Gmail Facebook Twitter LinkedIn More