The Probability of a Condorcet Paradox Occuring tends to 0.087739828045910... as the (odd) number of voters tends to infinity

The Probability of a Condorcet Paradox Occuring tends to 0.087739828045910... as the (odd) number of voters tends to infinity
By Shalosh B. Ekhad and Doron Zeilberger
.pdf .ps .tex

(Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger and arxiv.org )
Written: Nov. 7, 2016

Abstract:

Maple packages

CONDORCET.txt,a Maple package to study the Condorcet paradox

[Also needed] LinDiophantus,a Maple package to compute generating functions for solutions of linear diophantine equalities and inequalities

Sample Input and Output Files for the Maple package CONDORCET.txt

If you want to see
the input file generates the output file.

If you want to see
the input file generates the output file.

If you want to see
the input file generates the output file.

If you want to see
the input file generates the output file.

Input and Output File for the Maple package LinDiophantus

If you want to see the generating function for the Condorcet paradox
the input file generates the the output.

Personal Journal of Shalosh B. Ekhad and Doron Zeilberger
Doron Zeilberger's Home Page