Then, we identify general properties of the preference aggregation function, such as independence to irrelevant alternatives, which are sufficient for such sets to be computed in polynomial time.
In arguing that we cannot know the sorts of things we ordinarily claim to know, the sceptic appeals to irrelevant alternatives that the purported knower cannot eliminate.
In the research literature, what we are calling robust to candidates is referred to as independence of irrelevant alternatives, or IIA for short.
It was designed to relax the independence from irrelevant alternatives (IIA) property while keeping the random terms independently and identically distributed extreme value distributed (McFadden et al., 1978).
It is often open to strategic manipulation, due to dependence on irrelevant alternatives, and it tends to impose particular and unjustified non-linearity in bid prices.
Third, we extend the set of rational postulates in order to consider the epistemic versions of the classical postulates of social choice theory: standard domain, Pareto property, independence of irrelevant alternatives and absence of dictator.
(3) The outcome is independent of irrelevant alternatives (in other words, if unattractive options are added to or dropped from the list of alternatives, the solution will not change).
Independence of irrelevant alternatives.
They were, intuitively, irrelevant alternatives.
(5) Independence of irrelevant alternatives: The solution should be independent of irrelevant alternatives.
According to the first, we should distinguish between relevant and irrelevant alternatives.
