Browsing by Subject "hyperbolic partial differential equations"
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Item type:Article, Access status: Open Access , Hyperbolicity of systems describing value functions in differential games which model duopoly problems(2015) Zwierzchowska, JoannaBased on the Bressan and Shen approach (Bressan and Shen, 2004; Shen, 2009), we present an extension of the class of non-zero sum differential games for which value functions are described by a weakly hyperbolic Hamilton–Jacobi system. The considered value functions are determined by a Pareto optimality condition for instantaneous gain functions, for which we compare two methods of the unique choice Pareto optimal strategies. We present the procedure of applying this approach for duopoly.