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The laced interactive games and their a posteriori analysis

1999/01/11 by Denis V. Juriev, Juriev, Denis V. · 1 citation
Mathematics · #34H05 #49N55 #90D25 (Primary) 90D05 #93B52 (Secondary) #93C41 #Dynamical Systems (math.DS) #FOS: Mathematics #History and Overview (math.HO) #Mathematical Biology Tumor Growth #Numerical methods for differential equations #advanced mathematical theories #math.DS #math.HO #msc:34H05 #msc:49N55 #msc:90D05 #msc:90D25 #msc:93B52 #msc:93C41

paper · pdf · doi:10.48550/arxiv.math/9901043

revised version - minor additions (ref.[7] and rem.7)

openalex publication_date 1999/01/11 · arxiv created 1999/01/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An important class of differential interactive games, namely, one of the laced interactive games is considered. A posteriori analysis of such games (including the virtual a posteriori decomposition of a collective control) is discussed. Approximations of the laced interactive games by the ordinary differential games, the frozen feedback approximation and the retarded control approximation, are constructed. Applications are briefly specified.

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