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The minority’s success under majority rule

✍ Scribed by Gan Huang; Jinde Cao; Yuzhong Qu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
615 KB
Volume
388
Category
Article
ISSN
0378-4371

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Let ‫ނ‬ s y1, 1 denote the vertices of the n-dimensional cube. Let U m be a random m-element subset of ‫ނ‬ n and suppose w g ‫ނ‬ n is a vertex closest to the centroid of Ž . U m . Using a large deviation, multivariate local limit theorem due to Richter, we show that Ž . nr log n is a threshold funct