Editing Talk:1844: Voting Systems
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Generally the idea behind Arrow's Theorem is that you would get different results if you did a vote where the choices were just A or B, B or C, C or A, thus no option wins head to head against the others (Condorset Paradox). An example I recently read was economic policy, and how the options being presented can cause policy to fluctuate wildly in a democracy as the outcome depends on the options compared. -- [[Special:Contributions/108.162.249.10|108.162.249.10]] 16:01, 31 May 2017 (UTC) | Generally the idea behind Arrow's Theorem is that you would get different results if you did a vote where the choices were just A or B, B or C, C or A, thus no option wins head to head against the others (Condorset Paradox). An example I recently read was economic policy, and how the options being presented can cause policy to fluctuate wildly in a democracy as the outcome depends on the options compared. -- [[Special:Contributions/108.162.249.10|108.162.249.10]] 16:01, 31 May 2017 (UTC) | ||
:Neither Arrow's Theorem nor the joke makes any reference to Condorcet's paradox. Rather, the joke is that it shows an individual voter who apparently fails to satisfy [https://en.wikipedia.org/wiki/Independence_of_irrelevant_alternatives independence of irrelevant alternatives]. This is one of the criteria in Arrow's theorem, and it is normally always regarded as being true of any individual's opinions, just not necessarily of the outcome of an election. [[User:Zmatt|Zmatt]] ([[User talk:Zmatt|talk]]) 18:38, 31 May 2017 (UTC) | :Neither Arrow's Theorem nor the joke makes any reference to Condorcet's paradox. Rather, the joke is that it shows an individual voter who apparently fails to satisfy [https://en.wikipedia.org/wiki/Independence_of_irrelevant_alternatives independence of irrelevant alternatives]. This is one of the criteria in Arrow's theorem, and it is normally always regarded as being true of any individual's opinions, just not necessarily of the outcome of an election. [[User:Zmatt|Zmatt]] ([[User talk:Zmatt|talk]]) 18:38, 31 May 2017 (UTC) | ||
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"<i>Arrow's impossibility theorem states that when voters have three or more distinct alternatives (options), no ranked voting electoral system can convert the ranked preferences of individuals into a community-wide ranking.</i>" Arrow's theorem does not say that. Arrow's impossibility theorem says "When voters have three or more distinct alternatives (options), no ranked voting electoral system can convert the ranked preferences of individuals into a community-wide ranking that is <b>complete, transitive, Pareto efficient, have universal domain, has no dictator, and independent of irrelevant alternatives</b>." The conditions matter, and the non-dictatorship condition in particular is horrible misnamed. | "<i>Arrow's impossibility theorem states that when voters have three or more distinct alternatives (options), no ranked voting electoral system can convert the ranked preferences of individuals into a community-wide ranking.</i>" Arrow's theorem does not say that. Arrow's impossibility theorem says "When voters have three or more distinct alternatives (options), no ranked voting electoral system can convert the ranked preferences of individuals into a community-wide ranking that is <b>complete, transitive, Pareto efficient, have universal domain, has no dictator, and independent of irrelevant alternatives</b>." The conditions matter, and the non-dictatorship condition in particular is horrible misnamed. |