Symmetrical ICT: Difference between revisions
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{{cleanup|reason=This article is written like a personal reflection, personal essay, or argumentative essay that states an editor's personal feelings or presents an original argument about a topic.}}
'''Symmetrical ICT''', short for '''Symmetrical Improved Condorcet, Top''' is a voting method designed by Michael Ossipoff. <!-- when? link to EM? --> It is based on Kevin Venzke's concept of "Improved Condorcet", which is a modification of pairwise comparison logic that enables methods to pass the [[favorite betrayal criterion]] at the cost of sometimes failing the [[Condorcet criterion]].
==Definition==
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# If only one candidate is unbeaten, then s/he wins.
# If everyone or no one is unbeaten, then the winner is the candidate ranked in
# If some, but not all, candidates are unbeaten, then the winner is the unbeaten candidate ranked in
== Improved Condorcet ==
Condorcet methods usually have a low but nonzero rate of [[favorite betrayal]] failures.
Mike Ossipoff argued that improved Condorcet allows a voter who wants one of X and Y to win, and who ranks X first, to change a ranking of X>Y into X=Y without undue risk that this will change the winner from Y to someone lower ranked by that voter; and thus that it's better to satisfy the IC version of Condorcet than the actual [[Condorcet criterion]].
==History==
Mike later proposed that the ICT tied-at-the-top rule also be applied to the bottom end, to almost achieve [[later-no-help]] compliance, which then led to Symmetrical ICT.
==Criterion compliances==
Symmetrical ICT passes the [[favorite betrayal criterion]] and the [[chicken dilemma criterion]]. It fails the [[Condorcet criterion]].
==Notes==
In an election with dichotomous preferences, the best ICT strategy is Approval strategy: equal-rank all approved candidates first and all unapproved candidates last.
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▲If you leave out the + (X=Y)B term, then you'll have ordinary ICT. Ordinary ICT has the most important properties of Symmetrical ICT. Symmetrical ICT merely adds a somewhat less important improvement, consisting of simpler bottom-end strategy.
'''A few improved properties of ICT and Symmetrical ICT:'''
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Michael Ossipoff
==References==
[[Category:Ranked voting methods]]
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