کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4612538 | 1338693 | 2010 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bifurcation analysis of a non-cooperative differential game with one weak player
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study a bifurcation problem for a system of two differential equations in implicit form. For each value of the parameter θ, the solution yields a pair of Nash equilibrium strategies in feedback form, for a non-cooperative differential game. When θ=0, the second player has no power to influence the dynamics of the system, and his optimal strategy is myopic. The game thus reduces to an optimal control problem for the first player. By studying the bifurcation in the solutions to the corresponding system of Hamilton–Jacobi equations, one can establish existence and multiplicity of solutions to the differential game, as θ becomes strictly positive.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 248, Issue 6, 15 March 2010, Pages 1297-1314
Journal: Journal of Differential Equations - Volume 248, Issue 6, 15 March 2010, Pages 1297-1314