Martins, Natália; Torres, Delfim F. M. Necessary conditions for linear noncooperative \(N\)-player delta differential games on time scales. (English) Zbl 1258.49064 Discuss. Math., Differ. Incl. Control Optim. 31, No. 1, 23-37 (2011). Summary: We present necessary conditions for linear noncooperative \(N\)-player delta dynamic games on an arbitrary time scale. Necessary conditions for an open-loop Nash-equilibrium and for a memoryles perfect state Nash-equilibrium are obtained. Cited in 4 Documents MSC: 49N70 Differential games and control 49K35 Optimality conditions for minimax problems 91A10 Noncooperative games 39A10 Additive difference equations Keywords:delta differential games; dynamic games on time scales; Nash-equilibrium PDFBibTeX XMLCite \textit{N. Martins} and \textit{D. F. M. Torres}, Discuss. Math., Differ. Incl. Control Optim. 31, No. 1, 23--37 (2011; Zbl 1258.49064) Full Text: DOI arXiv