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The number of weak orderings of a finite set

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Author Info
Ralph W. Bailey () (Economics Department, University of Birmingham, Birmingham B15 2TT, UK)

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Abstract

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.

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Publisher Info
Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 15 (1998)
Issue (Month): 4 ()
Pages: 559-562
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Handle: RePEc:spr:sochwe:v:15:y:1998:i:4:p:559-562

Note: Received: 29 May 1995 / Accepted: 22 May 1997
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