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In probability theory, Luce's choice axiom, formulated by R. Duncan Luce (1959),[1] states that the relative odds of selecting one item over another from a pool of many items is not affected by the presence or absence of other items in the pool. Selection of this kind is said to have "independence from irrelevant alternatives" (IIA).[2]
- ^ Luce, R. Duncan (2005). Individual choice behavior : a theoretical analysis. Mineola, N.Y.: Dover Publications. ISBN 0-486-44136-9. OCLC 874031603.
- ^ Luce, R.Duncan (June 1977). "The choice axiom after twenty years". Journal of Mathematical Psychology. 15 (3): 215–233. doi:10.1016/0022-2496(77)90032-3.