4.7. The instant recall method works as follows. If there is a candidate with the majority of the first-place votes, that candidate is declared the unique winner. Otherwise, the candidate with the plurality of the first-place votes is eliminated from the slate and the process is repeated among the remaining candidates. (Ignore the possibility that there may be a tie for plurality winner.) The method is inspired by the recall elections that are permitted for California gubernatorial elections, which in effect leave a system where plurality winners lacking majority support are recallable, and so the ultimate holder of the governor’s office, if the electorate so chooses, is the first candidate able to withstand a recall (the first candidate to have majority support) after prior plurality winners are eliminated (i.e., recalled). Arnold Schwarzenegger took office in California via a recall election. (a) Does instant recall satisfy anonymity? (b) Does instant recall satisfy neutrality? (c) Does instant recall satisfy the Condorcet criterion? (d) Does instant recall satisfy the anti-Condorcet criterion? (e) Does instant recall satisfy monotonicity? (f) Does instant recall satisfy Pareto? (g) Does instant recall satisfy the majority criterion? (h) Does instant recall satisfy the independence criterion? (i) Does instant recall satisfy the top criterion
4.7. The instant recall method works as follows. If there is a candidate
with the majority of the first-place votes, that candidate is declared
the unique winner. Otherwise, the candidate with the plurality of the
first-place votes is eliminated from the slate and the process is repeated
among the remaining candidates. (Ignore the possibility that there may
be a tie for plurality winner.) The method is inspired by the recall elections that are permitted for California gubernatorial elections, which in
effect leave a system where plurality winners lacking majority support
are recallable, and so the ultimate holder of the governor’s office, if the
electorate so chooses, is the first candidate able to withstand a recall
(the first candidate to have majority support) after prior plurality winners are eliminated (i.e., recalled). Arnold Schwarzenegger took office in
California via a recall election.
(a) Does instant recall satisfy anonymity?
(b) Does instant recall satisfy neutrality?
(c) Does instant recall satisfy the Condorcet criterion?
(d) Does instant recall satisfy the anti-Condorcet criterion?
(e) Does instant recall satisfy monotonicity?
(f) Does instant recall satisfy Pareto?
(g) Does instant recall satisfy the majority criterion?
(h) Does instant recall satisfy the independence criterion?
(i) Does instant recall satisfy the top criterion
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