کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4624666 | 1631634 | 2015 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The structure of symmetric n-player games when influence and independence collide
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study the mathematical properties of probabilistic processes in which the independent actions of n players ('causes') can influence the outcome of each player ('effects'). In such a setting, each pair of outcomes will generally be statistically correlated, even if the actions of all the players provide a complete causal description of the players' outcomes, and even if we condition on the outcome of any one player's action. This correlation always holds when n=2, but when n=3 there exists a highly symmetric process, recently studied, in which each cause can influence each effect, and yet each pair of effects is probabilistically independent (even upon conditioning on any one cause). We study such symmetric processes in more detail, obtaining a complete classification for all nâ¥3. Using a variety of mathematical techniques, we describe the geometry and topology of the underlying probability space that allows independence and influence to coexist.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Applied Mathematics - Volume 62, January 2015, Pages 15-40
Journal: Advances in Applied Mathematics - Volume 62, January 2015, Pages 15-40
نویسندگان
Denali Molitor, Mike Steel, Amelia Taylor,