Talk:Gibbard-Satterthwaite theorem: Difference between revisions

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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)

Revision as of 09:18, 16 April 2020 (view source) Kristomun (talk \| contribs) No edit summary ← Older edit		Revision as of 19:32, 16 April 2020 (view source) Psephomancy (talk \| contribs) (Respond to User:Kristomun) Newer edit →
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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)

			:: "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)