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'''Local independence of irrelevant alternatives''' (LIIA), also known as '''Independence of Smith-dominated alternatives''' (ISDA), is a [[voting system criterion]] defined such that its satisfaction by a voting system occurs when the selection of the winner is independent of candidates who are not within the [[Smith set]].
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THE ABOVE IS *NOT* THE DEFINITION OF
LOCAL INDEPENDENCE OF IRRELEVANT ALTERNATIVES! See the discussion page for details. The information
below, which relates to the above bogus definition, is also wrong. --Steve Eppley Jan-11-2008 ****
A simple way to describe is that if a voting system is LIIA, then whenever you can partition the candidates into group ''A'' and group ''B'' such that each candidate in group ''A'' is preferred over each candidate in group ''B'', you can eliminate all candidates of group ''B'' without changing the outcome of the election.
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