Consent: Difference between revisions
clean up (AWB), added uncategorised tag
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==Concise Definition==
A given voter [[consents]] to an alternative if she is willing to form a consensus around that alternative.
==More Details==
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Suppose there exists some given voter i who is confronted with the alternatives Ax, Ay, and Az. There are four rationality restrictions.
First, if voter i Ax>Ay and consents to Ay, then voter i must consent to Ax.
Second, if voter i Ax>Ay and does not consent to Ax, then voter i must not consent to Ay.
Third, if voter i Ax=Ay and consents to Ax, then voter i must consent to Ay.
Fourth, if voter i Ax=Ay and does not consent to Ax, then voter i must not consent to Ay.
These rules allow us to express voter consent in conjunction with a [[preference order]]. Such expressions are called [[preference-approvals]], or [[total preference orders]] when it contains all alternatives. Total preference orders look exactly like complete preference orders, except they have a line that separates consented alternatives from non-consented alternatives.
==See
[[approval voting]]
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[[unanimous consensus winner]]
{{Uncategorized|date=January 2019}}
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