Talk:Gibbard-Satterthwaite theorem: Difference between revisions
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Psephomancy (talk | contribs) Respond to User:Kristomun |
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: Yes. G-S is about ranked methods. Gibbard's theorem shows that you can't escape the conclusions simply by making your method cardinal. See the introductory paragraph at [[w:Gibbard–Satterthwaite_theorem]]. [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 09:17, 16 April 2020 (UTC) |
: Yes. G-S is about ranked methods. Gibbard's theorem shows that you can't escape the conclusions simply by making your method cardinal. See the introductory paragraph at [[w:Gibbard–Satterthwaite_theorem]]. [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 09:17, 16 April 2020 (UTC) |
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:: "Whereas Satterthwaite's version only applies to ordinal voting systems, Gibbard's version applies to all deterministic voting systems, including non-ordinal ones. Combining Gibbard's version and a remark made by Satterthwaite" ... gives us G-S? Or Gibbard's theorem is a separate one from G-S? https://politics.stackexchange.com/a/14245 — [[User:Psephomancy|Psephomancy]] ([[User talk:Psephomancy|talk]]) 19:32, 16 April 2020 (UTC) |
Revision as of 19:32, 16 April 2020
I redirected Gibbard's theorem here though I've heard they're actually different? (Gibbard had multiple theorems?) But I'm not sure. — Psephomancy (talk) 03:46, 16 April 2020 (UTC)
- Yes. G-S is about ranked methods. Gibbard's theorem shows that you can't escape the conclusions simply by making your method cardinal. See the introductory paragraph at w:Gibbard–Satterthwaite_theorem. Kristomun (talk) 09:17, 16 April 2020 (UTC)
- "Whereas Satterthwaite's version only applies to ordinal voting systems, Gibbard's version applies to all deterministic voting systems, including non-ordinal ones. Combining Gibbard's version and a remark made by Satterthwaite" ... gives us G-S? Or Gibbard's theorem is a separate one from G-S? https://politics.stackexchange.com/a/14245 — Psephomancy (talk) 19:32, 16 April 2020 (UTC)