Consent: Difference between revisions
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==Concise Definition== |
==Concise Definition== |
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A given voter [[consents]] to an alternative if she is willing to form a consensus around that alternative. |
A given voter [[consents]] to an alternative if she is willing to form a consensus around that alternative. |
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==More Details== |
==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. |
Suppose there exists some given voter i who is confronted with the alternatives Ax, Ay, and Az. There are four rationality restrictions. |
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First, if voter i Ax>Ay and consents to Ay, then voter i must consent to Ax. |
First, if voter i Ax>Ay and consents to Ay, then voter i must consent to Ax. |
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Second, if voter i Ax>Ay and does not consent to Ax, then voter i must not consent to Ay. |
Second, if voter i Ax>Ay and does not consent to Ax, then voter i must not consent to Ay. |
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Third, if voter i Ax=Ay and consents to Ax, then voter i must consent to Ay. |
Third, if voter i Ax=Ay and consents to Ax, then voter i must consent to Ay. |
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Fourth, if voter i Ax=Ay and does not consent to Ax, then voter i must not consent to Ay. |
Fourth, if voter i Ax=Ay and does not consent to Ax, then voter i must not consent to Ay. |
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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. |
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. |
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==See |
==See also== |
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[[approval voting]] |
[[approval voting]] |
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[[unanimous consensus winner]] |
[[unanimous consensus winner]] |
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{{Uncategorized|date=January 2019}} |
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