Contingent Isaacs Equations of a Differential Game

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3170 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3170 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3170 archive 351 disk0/00/00/31/25 2016-01-15 01:58:50 2021-08-27 17:13:15 2016-01-15 01:58:50 monograph show 2 Aubin J.-P. 7347 Contingent Isaacs Equations of a Differential Game pub iis_met prog_sds The purpose of this paper is to characterize classical and lower semicontinuous solutions to the Hamilton-Jacobi-Isaacs partial differential equations associated with a differential game and, in particular, characterize closed subsets the indicators of which are solutions to these equations. For doing so, the classical concept of derivative is replaced by contingent epi-derivative, which can apply to any function. The use of indicator of subsets which are solutions of either one of the contingent Isaacs equation allows to characterize areas of the playability set in which some behavior (playability, winability, etc.) of the players can be achieved. 1988-09 published WP-88-080 WP-88-080 10 1134 public working_paper IIASA, Laxenburg, Austria 22 FALSE info:eu-repo/semantics/book