- Tytuł:
- Hyperbolicity of Systems Describing Value Functions in Differential Games which Model Duopoly Problems
- Autorzy:
- Zwierzchowska, J.
- Powiązania:
- https://bibliotekanauki.pl/articles/375973.pdf
- Data publikacji:
- 2015
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
duopoly models
semi-cooperative feedback strategies
Pareto optimality
hyperbolic partial differential equations - Opis:
- Based 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.
- Źródło:
-
Decision Making in Manufacturing and Services; 2015, 9, 1; 89-100
1896-8325
2300-7087 - Pojawia się w:
- Decision Making in Manufacturing and Services
- Dostawca treści:
- Biblioteka Nauki
Artykuł