کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4628968 | 1340572 | 2013 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
Under the assumption of an iso-elastic demand function, we consider a continuous-time dynamic Cournot adjustment game for n oligopolists. We first show the existence and uniqueness of a positive Cournot equilibrium and, for any n, we show that positive response functions are bounded in time. For the n = 3 case, we analytically show that the positive equilibrium is locally asymptotically stable, while, for n > 3, we are able to give some asymptotic results. As an application, we then introduce a proportional tax or subsidy to the model, and discuss the influence of such policies on the positive equilibrium. Furthermore, we briefly discuss a generalization of the results to non-iso-elastic demand functions. Comments on possible areas of future work are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 12, 15 February 2013, Pages 6400-6409
Journal: Applied Mathematics and Computation - Volume 219, Issue 12, 15 February 2013, Pages 6400-6409
نویسندگان
Brooke C. Snyder, Robert A. Van Gorder, K. Vajravelu,