Condorcet//FPTP: Difference between revisions

 

49 B1</blockquote>The Smith set here is (A1, A2, A3). There is no Condorcet winner, and the FPTP winner is B1 (49 1st choices), so Condorcet//FPTP would pick B1. Within the Smith set, the FPTP winner is A1 (has 18 1st choices to A2's 17 and A3's 16), so Smith//FPTP would pick A1. Notice that if any two candidates in the Smith set drop out of the race, the remaining candidate would be the [[Majority criterion|majority's 1st choice]] by 51 voters to 49, and thus win in either Condorcet//FPTP or Smith//FPTP. Thus, this is an example of a [[Mutual majority criterion|mutual majority criterion]] failure for Condorcet//FPTP (a majority preferred the (A1, A2, A3) set of candidates above all other candidates (B1) but none of the majority-preferred candidates won).

[[Category:Condorcet methods]]