کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
419546 683835 2010 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On acyclicity of games with cycles
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
On acyclicity of games with cycles
چکیده انگلیسی

We study restricted improvement cycles (ri-cycles) in finite positional nn-person games with perfect information modeled by directed graphs (di-graphs) that may contain directed cycles (di-cycles). We assume that all these di-cycles form one outcome cc, for example, a draw. We obtain criteria of restricted improvement acyclicity (ri-acyclicity) in two cases: for n=2n=2 and for acyclic di-graphs. We provide several examples that outline the limits of these criteria and show that, essentially, there are no other ri-acyclic cases.We also discuss connections between ri-acyclicity and some open problems related to Nash-solvability.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 158, Issue 10, 28 May 2010, Pages 1049–1063
نویسندگان
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