Satisfied and Failed Criteria
Minimax using winning votes or margins satisfies the Condorcet and the Majority criterion, but not the Smith criterion, Mutual majority criterion, Independence of clones criterion, or Condorcet loser criterion. When winning votes is used, Minimax also satisfies the Plurality criterion.
When the pairwise opposition variant is used, Minimax also does not satisfy the Condorcet criterion. However, when equal-ranking is permitted, there is never an incentive to put one's first-choice candidate below another one on one's ranking. It also satisfies the Later-no-harm criterion, which means that by listing additional, lower preferences in one's ranking, one cannot cause a preferred candidate to lose.
Read more about this topic: Minimax Condorcet
Famous quotes containing the words satisfied, failed and/or criteria:
“And if you ask again whether there is any justice in the world, you’ll have to be satisfied with the reply: Not for the time being; at any rate, not up to this Friday.”
—Alfred Döblin (1878–1957)
“I never failed to convince an audience that the best thing they could do was to go away.”
—Thomas Love Peacock (1785–1866)
“There are ... two minimum conditions necessary and sufficient for the existence of a legal system. On the one hand those rules of behavior which are valid according to the system’s ultimate criteria of validity must be generally obeyed, and on the other hand, its rules of recognition specifying the criteria of legal validity and its rules of change and adjudication must be effectively accepted as common public standards of official behavior by its officials.”
—H.L.A. (Herbert Lionel Adolphus)