The number of weak orderings of a finite set
The number of Arrovian constitutions, when N agents are to rank n alternatives, is p(n)p(n)N, where p(n) is the number of weak orderings of n alternatives. For n\leq15, p(n) is the nearest integer to n!/2(log2)n+1, the dominant term of a series derived by contour integration of the generating function. For large n, about n/17 additional terms in the series suffice to compute p(n) exactly.
Year of publication: |
1998-08-06
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Authors: | Bailey, Ralph W. |
Published in: |
Social Choice and Welfare. - Springer. - Vol. 15.1998, 4, p. 559-562
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Publisher: |
Springer |
Saved in:
freely available
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