Repeated Games and Qualitative Differential Games: Approachability and Comparison of Strategies
We study the notion of approachability in a repeated game with vector payoffs from a new point of view using techniques recently developed for qualitative differential games. Namely, we relate the sufficient condition for approachability (B-set) to the notion of discriminating domain for a suitably...
Saved in:
Published in | SIAM journal on control and optimization Vol. 48; no. 4; pp. 2461 - 2479 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Philadelphia
Society for Industrial and Applied Mathematics
01.01.2009
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | We study the notion of approachability in a repeated game with vector payoffs from a new point of view using techniques recently developed for qualitative differential games. Namely, we relate the sufficient condition for approachability (B-set) to the notion of discriminating domain for a suitably chosen differential game. The other goal of the present article is to obtain a new precise link between the strategies in the differential game and in the repeated game preserving approachability properties. [PUBLICATION ABSTRACT] |
---|---|
Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0363-0129 1095-7138 |
DOI: | 10.1137/090749098 |