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 and, satisfied, failed and/or criteria:
“The first year was critical to my assessment of myself as a person. It forced me to realize that, like being married, having children is not an end in itself. You don’t at last arrive at being a parent and suddenly feel satisfied and joyful. It is a constantly reopening adventure.”
—Anonymous Mother. From the Boston Women’s Health Book Collection. Quoted in The Joys of Having a Child, by Bill and Gloria Adler (1993)
“The classicist, and the naturalist who has much in common with him, refuse to see in the highest works of art anything but the exercise of judgement, sensibility, and skill. The romanticist cannot be satisfied with such a normal standard; for him art is essentially irrational—an experience beyond normality, sometimes destructive of normality, and at the very least evocative of that state of wonder which is the state of mind induced by the immediately inexplicable.”
—Sir Herbert Read (1893–1968)
“The situation of our youth is not mysterious. Children have never been very good at listening to their elders, but they have never failed to imitate them. They must, they have no other models.”
—James Baldwin (1924–1987)
“We should have learnt by now that laws and court decisions can only point the way. They can establish criteria of right and wrong. And they can provide a basis for rooting out the evils of bigotry and racism. But they cannot wipe away centuries of oppression and injustice—however much we might desire it.”
—Hubert H. Humphrey (1911–1978)