Talk:Monotonicity: Difference between revisions
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(Is it still considered IRV? See the link on my user page). |
(Is it still considered IRV? See the link on my user page). |
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[[User:RalphInOttawa|RalphInOttawa]] ([[User talk:RalphInOttawa|talk]]) 14:54, 13 December 2023 (UTC) |
[[User:RalphInOttawa|RalphInOttawa]] ([[User talk:RalphInOttawa|talk]]) 14:54, 13 December 2023 (UTC) |
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: For a method to be monotone, there must be no monotonicity failures anywhere. Checking against an example only shows that there's no monotonicity failure there; there might still be others elsewhere. The only way to know would be by checking a large number of elections, e.g. by simulations, or being entirely certain by mathematical proof. [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 14:50, 18 December 2023 (UTC) |
Revision as of 14:50, 18 December 2023
This is the discussion page (the "Talk:" page) for Monotonicity. Please use this page to discuss the topic described in the corresponding page in the main namespace (i.e. the "Monotonicity" page here on electowiki), or visit Help:Talk to learn more about talk pages.
Merging with mono-raise
From what I understand, the mono-raise criterion and the "monotonicity criterion" are the same thing. Moreover, when I brought this up on EM list, folks there agreed.[1]. So, any problem with merging these? Can anyone help make it happen? -- RobLa (talk) 07:52, 30 November 2020 (UTC)
- There are montonicity criteria (of which mono-raise is one), but when EM members refer to "the" monotonicity criterion (or just monotonicity), it's mono-raise. So "a monotonicity criterion" could be any of them, while "the monotonicity criterion" is mono-raise. Kristomun (talk) 18:37, 27 November 2021 (UTC)
Footnotes
We need a better example
I have an improved version of IRV that is monotonic in the example given. I would elect Center (the Condorcet winner). Can I claim that it is monotonic or just more often monotonic? (Is it still considered IRV? See the link on my user page). RalphInOttawa (talk) 14:54, 13 December 2023 (UTC)
- For a method to be monotone, there must be no monotonicity failures anywhere. Checking against an example only shows that there's no monotonicity failure there; there might still be others elsewhere. The only way to know would be by checking a large number of elections, e.g. by simulations, or being entirely certain by mathematical proof. Kristomun (talk) 14:50, 18 December 2023 (UTC)