[EM] Condorcet Criterion vs. Condorcet Efficiency

Alex Small asmall at physics.ucsb.edu
Mon Jul 1 11:41:10 PDT 2002

Donald has claimed that using the Condorcet criterion is inherently
prejudicial, since only methods in the Condorcet family can comply.

However, there's also a concept called "Condorcet Efficiency":  Quantify
the likelihood that a given non-Condorcet method will elect the Condorcet
winner.  We can debate the best way to measure this (Monte-Carlo seems
reasonable off the top of my head), but it is used in the literature. 
Brams and Fishburn, two men who are most definitely NOT Condorcet
partisans (why else would Brams devote a considerable portion of his
academic work to studying, promoting, and defending Approval Voting?) use
this concept in their book.

I'm curious if any work has been done comparing the Condorcet efficiencies
of Approval and IRV.  It's been a few months since I looked at Brams and
Fishburn, and I don't have a copy handy, so I don't know if they compared
the two.  When my copy arrives (ordered it used) I'll check it out.


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