Independence of irrelevant alternatives (IIA) is an axiom of decision theory which codifies the intuition that a choice between A {\displaystyle A} and...
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Spoiler effect (redirect from Local independence of irrelevant alternatives)
to be spoilerproof and satisfy independence of irrelevant alternatives. The frequency and severity of spoiler effects depends substantially on the voting...
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nomination consists of manipulating a feature of voting systems which lies in their lacking the property of ‘independence of irrelevant alternatives’. Arrow's impossibility...
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in that methods passing independence of irrelevant alternatives (but not the Smith criterion) also satisfy this definition of Smith-IIA. If the criterion...
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independent of irrelevant alternatives, it still satisfies local independence of irrelevant alternatives and independence of Smith-dominated alternatives, meaning...
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considered a weak form of the independence of irrelevant alternatives (IIA) criterion that nevertheless is failed by a number of voting rules. A method...
4 KB (5,937 words) - 18:13, 27 June 2025
considered a weak form of the independence of irrelevant alternatives (IIA) criterion that nevertheless is failed by a number of voting rules. A method...
31 KB (2,665 words) - 22:58, 11 November 2024
Arrow's impossibility theorem (category Articles with Stanford Encyclopedia of Philosophy links)
satisfy the requirements of rational choice. Specifically, Arrow showed no such rule can satisfy independence of irrelevant alternatives, the principle that...
72 KB (6,839 words) - 05:37, 16 July 2025
Instant-runoff voting (redirect from Alternative vote)
occurred in the 2009 Burlington mayoral election. The independence of irrelevant alternatives criterion states that "the election outcome remains the...
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Condorcet method (section Use of Condorcet voting)
incompatible with the consistency, independence of irrelevant alternatives (though it implies a weaker analogous form of IIA: when there is a Condorcet winner...
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problem that satisfies the axioms of scale invariance, symmetry, efficiency, and independence of irrelevant alternatives. According to Paul Walker, Nash's...
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can cause voting mechanisms to violate the axiom of independence of irrelevant alternatives—the choice of winner by a voting mechanism could be influenced...
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option. The decoy effect is also an example of the violation of the independence of irrelevant alternatives axiom of decision theory. More simply, when deciding...
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combination of these two methods creates a highly strategy-resistant system. Tideman's Alternative fails independence of irrelevant alternatives, meaning...
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satisfies independence of irrelevant alternatives, while the KS solution instead satisfies resource monotonicity. A two-person bargain problem consists of a pair...
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Minimax fails independence of irrelevant alternatives, independence of clones, local independence of irrelevant alternatives, and independence of Smith-dominated...
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Schulze method (redirect from Schulze method of voting)
Schulze method also fails Peyton Young's criterion of Local Independence of Irrelevant Alternatives. The following table compares the Schulze method with...
50 KB (4,225 words) - 19:34, 1 July 2025
voters turning out to support them. Score voting satisfies independence of irrelevant alternatives, and does not tend to exhibit spoiler effects. It does...
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First-past-the-post voting (section Use of single-member plurality in mixed systems for electing legislatures)
Supporters of electoral reform generally see the kingmaker ability as a positive development, and claim that cross party ties produced by some alternatives to...
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of this kind is said to have "independence from irrelevant alternatives" (IIA). Consider a set X {\displaystyle X} of possible outcomes, and consider...
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impossibility theorem, and satisfy both unanimity and independence of irrelevant alternatives. However, highest medians fail the slightly stronger near-unanimity...
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regressions reveals why the model relies on the assumption of independence of irrelevant alternatives described above. The unknown parameters in each vector...
31 KB (5,225 words) - 12:07, 3 March 2025
Arrow's independence of irrelevant alternatives and Pareto efficiency. Maximal lotteries do not satisfy the standard notion of strategyproofness, as Allan...
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symmetry, the Condorcet loser criterion and the independence of irrelevant alternatives criterion. If equal and skipped rankings are allowed, Bucklin passes...
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Consistency Independence of Smith-dominated alternatives Independence of clones Independence of irrelevant alternatives Local independence of irrelevant alternatives...
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C} . Independence of irrelevant alternatives pertains to well-defined preferences as well. It assumes that two gambles mixed with an irrelevant third...
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in the alternative vote system, candidates are ranked numerically in order of preference. The important difference is that an additional group of members...
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Softmax function (section Alternatives)
The use of the softmax in decision theory is credited to R. Duncan Luce,: 1 who used the axiom of independence of irrelevant alternatives in rational...
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shows that the sincere favorite criterion is distinct from independence of irrelevant alternatives, and that ranked voting methods do not necessarily fail...
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Borda count (section Effect of irrelevant candidates)
the probability of one of those candidates winning increases. This is illustrated by the example 'Effect of irrelevant alternatives' above. Therefore...
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