Favorite Betrayal Criterion (FBC)

Statement of Criterion

By voting another candidate over his favorite, a voter should never get a result that he considers preferable to every result he could get without doing so.

Complying Methods

The Approval method complies with the Favorite Betrayal Criterion, but none of the other methods in the compliance table above comply.

Commentary

Election methods that meet this criterion provide no incentive for voters to betray their favorite candidate by voting another candidate over him. FBC is the only criteria that favors Approval over Condorcet. In fact, it is the only criteria that favors any of the methods listed in Table 1 over Condorcet. Although Condorcet technically fails to comply with FBC, the probability is very small that a voter can cause a preferable result by not voting for his or her favorite in a Condorcet system.