Editing Condorcet paradox (section)

=== Practical scenario ===
The voters in Cactus County prefer the incumbent [[county executive]] '''Alex''' of the Farmers' Party over rival '''Beatrice''' of the Solar Panel Party by about a 2-to-1 margin. This year a third candidate, '''Charlie''', is running as an independent. Charlie is a wealthy and outspoken businessman, of whom the voters hold polarized views.

The voters divide into three groups:

* Group 1 revere Charlie for saving the high school football team. They rank Charlie first, and then Alex above Beatrice as usual ('''CAB''').
* Group 2 despise Charlie for his sharp business practices. They rank Charlie ''last'', and then Alex above Beatrice as usual ('''ABC''').
* Group 3 are Beatrice's core supporters. They want the Farmers' Party out of office in favor of the Solar Panel Party, and regard Charlie's candidacy as a sideshow. They rank Beatrice first and Alex last as usual, and Charlie second by default ('''BCA''').

Therefore a majority of voters prefer Alex to Beatrice (A > B), as they always have. A majority of voters are either Beatrice-lovers or Charlie-haters, so prefer Beatrice to Charlie (B > C). And a majority of voters are either Charlie-lovers or Alex-haters, so prefer Charlie to Alex (C > A). Combining the three preferences gives us A > B > C > A, a Condorcet cycle.