Independence of irrelevant alternatives "... does not rule out "intensity" of preference in making social choices.

Selection of this kind is said to have "independence from irrelevant alternatives" (IIA).

Independence of irrelevant alternatives, however, is a very hard property for a voting system to satisfy.

Ranked pairs fails independence of irrelevant alternatives.

Note that this model allows for arbitrary correlation between the error variables, so that it doesn't necessarily respect independence of irrelevant alternatives.

This assumption states that the odds of preferring one class over another do not depend on the presence or absence of other "irrelevant" alternatives.

The fact that we run multiple regressions reveals why the model relies on the assumption of independence of irrelevant alternatives described above.

The relative positions of A and B are reversed by the introduction of C, an "irrelevant" alternative.

Most controversial of his four (1963) or five (1950/1951) conditions is the independence of irrelevant alternatives.

These criteria are called unrestricted domain, non-dictatorship, Pareto efficiency, and independence of irrelevant alternatives.