• Independence of irrelevant alternatives (IIA) is an axiom of decision theory which codifies the intuition that a choice between A {\displaystyle A} and...
    16 KB (1,993 words) - 07:32, 2 July 2025
  • Thumbnail for Spoiler effect
    to be spoilerproof and satisfy independence of irrelevant alternatives. The frequency and severity of spoiler effects depends substantially on the voting...
    48 KB (5,011 words) - 08:27, 15 July 2025
  • nomination consists of manipulating a feature of voting systems which lies in their lacking the property ofindependence of irrelevant alternatives’. Arrow's impossibility...
    5 KB (614 words) - 20:02, 27 April 2025
  • in that methods passing independence of irrelevant alternatives (but not the Smith criterion) also satisfy this definition of Smith-IIA. If the criterion...
    2 KB (247 words) - 21:36, 14 May 2025
  • Thumbnail for Ranked pairs
    independent of irrelevant alternatives, it still satisfies local independence of irrelevant alternatives and independence of Smith-dominated alternatives, meaning...
    9 KB (972 words) - 17:21, 20 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...
    4 KB (5,937 words) - 18:13, 27 June 2025
  • Thumbnail for Independence of clones criterion
    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
  • Thumbnail for Arrow's impossibility theorem
    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
  • Thumbnail for Instant-runoff voting
    occurred in the 2009 Burlington mayoral election. The independence of irrelevant alternatives criterion states that "the election outcome remains the...
    82 KB (9,112 words) - 00:07, 3 July 2025
  • Thumbnail for Condorcet method
    incompatible with the consistency, independence of irrelevant alternatives (though it implies a weaker analogous form of IIA: when there is a Condorcet winner...
    71 KB (9,470 words) - 22:39, 9 July 2025
  • problem that satisfies the axioms of scale invariance, symmetry, efficiency, and independence of irrelevant alternatives. According to Paul Walker, Nash's...
    16 KB (2,002 words) - 11:09, 3 December 2024
  • Thumbnail for Condorcet paradox
    can cause voting mechanisms to violate the axiom of independence of irrelevant alternatives—the choice of winner by a voting mechanism could be influenced...
    26 KB (3,469 words) - 11:09, 24 June 2025
  • Thumbnail for Decoy effect
    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...
    10 KB (1,216 words) - 06:18, 9 January 2024
  • Thumbnail for Tideman alternative method
    combination of these two methods creates a highly strategy-resistant system. Tideman's Alternative fails independence of irrelevant alternatives, meaning...
    4 KB (439 words) - 19:46, 11 June 2025
  • satisfies independence of irrelevant alternatives, while the KS solution instead satisfies resource monotonicity. A two-person bargain problem consists of a pair...
    9 KB (1,575 words) - 00:57, 16 September 2024
  • Thumbnail for Minimax Condorcet method
    Minimax fails independence of irrelevant alternatives, independence of clones, local independence of irrelevant alternatives, and independence of Smith-dominated...
    13 KB (1,159 words) - 08:26, 22 May 2024
  • Thumbnail for Schulze method
    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
  • Thumbnail for Score voting
    voters turning out to support them. Score voting satisfies independence of irrelevant alternatives, and does not tend to exhibit spoiler effects. It does...
    23 KB (2,330 words) - 17:14, 28 June 2025
  • Thumbnail for First-past-the-post voting
    Supporters of electoral reform generally see the kingmaker ability as a positive development, and claim that cross party ties produced by some alternatives to...
    75 KB (7,715 words) - 06:37, 15 July 2025
  • of this kind is said to have "independence from irrelevant alternatives" (IIA). Consider a set X {\displaystyle X} of possible outcomes, and consider...
    3 KB (496 words) - 05:40, 18 July 2025
  • Thumbnail for Highest median voting rules
    impossibility theorem, and satisfy both unanimity and independence of irrelevant alternatives. However, highest medians fail the slightly stronger near-unanimity...
    14 KB (1,434 words) - 19:51, 26 May 2025
  • 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
  • Thumbnail for Maximal lotteries
    Arrow's independence of irrelevant alternatives and Pareto efficiency. Maximal lotteries do not satisfy the standard notion of strategyproofness, as Allan...
    10 KB (1,282 words) - 04:41, 24 June 2025
  • Thumbnail for Bucklin voting
    symmetry, the Condorcet loser criterion and the independence of irrelevant alternatives criterion. If equal and skipped rankings are allowed, Bucklin passes...
    12 KB (1,328 words) - 00:40, 7 March 2025
  • Thumbnail for Black's method
    Consistency Independence of Smith-dominated alternatives Independence of clones Independence of irrelevant alternatives Local independence of irrelevant alternatives...
    3 KB (224 words) - 17:54, 6 September 2024
  • C} . Independence of irrelevant alternatives pertains to well-defined preferences as well. It assumes that two gambles mixed with an irrelevant third...
    43 KB (5,770 words) - 10:39, 12 July 2025
  • Thumbnail for Alternative vote plus
    in the alternative vote system, candidates are ranked numerically in order of preference. The important difference is that an additional group of members...
    11 KB (1,256 words) - 11:55, 10 May 2025
  • 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...
    33 KB (5,279 words) - 19:53, 29 May 2025
  • Thumbnail for Sincere favorite criterion
    shows that the sincere favorite criterion is distinct from independence of irrelevant alternatives, and that ranked voting methods do not necessarily fail...
    18 KB (1,143 words) - 09:16, 30 June 2025
  • Thumbnail for Borda count
    the probability of one of those candidates winning increases. This is illustrated by the example 'Effect of irrelevant alternatives' above. Therefore...
    44 KB (5,488 words) - 18:57, 21 June 2025