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Arrow's impossibility theorem: Difference between revisions

→‎Systems which claim to evade Arrow's Criteria: Saying that all systems have some bad feature is not specific enough. It is about strategic voting.
(The loopholes in Arrow's theorem were closed by Gibbard. See my comment on the Talk page.)
(→‎Systems which claim to evade Arrow's Criteria: Saying that all systems have some bad feature is not specific enough. It is about strategic voting.)
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==Systems which claim to evade Arrow's Criteria==
 
Some activists believe that Arrow's theorem only applies to [[Ordinal Voting|ordinal voting]] and not [[cardinal voting]]. They point out that that it is technically possible for several cardinal systems to pass all three fairness criteria. The typical example is [[score voting]] but there are also several [[Multi-Member System |multi-winner systems]] which proport to pass all three of Arrow's original criteria. AddtionallyAdditionally, there are cardinal systems which do not pass all criteria but this is not due to Arrow's theorem; for example [[Ebert's Method]] fails [[Monotonicity]].
 
However, subsequent social choice theorists have expanded on Arrow's central insight, and applied his ideas more broadly. For example, the [[W:Gibbard's theorem|Gibbard's-Satterthwaite theorem]] (published in 1973) holds that any deterministic process of collective decision making with multiple options will have atsome leastlevel oneof undesirable[[strategic characteristicvoting]]. As a result of this much of the work of social choice theorists is to find out what types of [[strategic voting]] a system is susceptible to and the level of susceptibility for each. For example [[Single Member system | Single Member systems]] are not susceptible to [[Free riding]].
 
However, subsequent social choice theorists have expanded on Arrow's central insight, and applied his ideas more broadly. For example, [[W:Gibbard's theorem|Gibbard's theorem]] (published in 1973) holds that any deterministic process of collective decision making will have at least one undesirable characteristic.
==See also==
*[[Gibbard-Satterthwaite theorem]]
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