Smith Set Comparison
The Schwartz set is closely related to and is always a subset of the Smith set. The Smith set is larger if and only if a candidate in the Schwartz set has a pairwise tie with a candidate that is not in the Schwartz set. For example, given:
- 3 voters preferring candidate A to B to C
- 1 voter preferring candidate B to C to A
- 1 voter preferring candidate C to A to B
- 1 voter preferring candidate C to B to A
then we have A pairwise beating B, B pairwise beating C, and A tying with C in their pairwise comparison, making A the only member of the Schwartz set, while the Smith set on the other hand consists of all the candidates.
Read more about this topic: Schwartz Set
Famous quotes containing the words smith, set and/or comparison:
“Every individual necessarily labours to render the annual revenue of the society as great as he can. He generally, indeed, neither intends to promote the publick interest, nor knows how much he is promoting it.... He intends only his own gain, and he is in this, as in many other cases, led by an invisible hand to promote an end which was no part of his intention.”
—Adam Smith (1723–1790)
“Do I terrify?—
The nose, the eye pits, the full set of teeth?
The sour breath
Will vanish in a day.”
—Sylvia Plath (1932–1963)
“The comparison between Coleridge and Johnson is obvious in so far as each held sway chiefly by the power of his tongue. The difference between their methods is so marked that it is tempting, but also unnecessary, to judge one to be inferior to the other. Johnson was robust, combative, and concrete; Coleridge was the opposite. The contrast was perhaps in his mind when he said of Johnson: “his bow-wow manner must have had a good deal to do with the effect produced.””
—Virginia Woolf (1882–1941)