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SODA voting (Simple Optionally-Delegated Approval): Difference between revisions
SODA voting (Simple Optionally-Delegated Approval) (view source)
Revision as of 14:23, 20 June 2013
, 11 years ago→Criteria Compliance
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== Criteria Compliance ==
SODA itself does not satisfy [[monotonicity]] due to a complicated and implausible scenario involving 5 or more candidates. However, a slightly-modified version in which, before the delegated assignments, candidates can self-assign a penalty to be assessed at the end of the delegated assignment round, does. This modified version, MODA, is effectively identical to SODA for any plausible real-world election.
It does not satisfy the [[independence of irrelevant alternatives]] criterion in general, but it does if the "irrelevant alternative" is assumed to delegate votes in the same way as any candidate whose delegable votes they supplant. Similarly, it can only pass the [[participation]] and [[consistency]] criteria if it is assumed that candidate delegations do not change. These assumptions are ''not'' realistic, but they do show that the method is in some sense "close to" passing these criteria.
In any case where honest delegation could show a majority Condorcet winner, such delegation forms a strong Nash equilibrium. This shows that in general, strategic refusal to delegate is likely to fail.
=== Condorcet criterion (includes highly technical discussion) ===
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