Hyperbolicity of systems describing value functions in differential games which model duopoly problems
Journal Title: Decision Making in Manufacturing and Services - Year 2015, Vol 9, Issue 1
Abstract
Based on the Bressan and Shen approach ([2] or [7]), we present the extension of the class of non-zero sum dierential 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.
Authors and Affiliations
Joanna Zwierzchowska
Keywords
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- EP ID EP420112
- DOI 10.7494/dmms.2015.9.1.89
- Views 83
- Downloads 0
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