Approval equilibrium. Pushover strategy.
ntk at netcom.com
Sun Sep 27 18:46:32 PDT 1998
In reply to Mike Allen's letter:
The Smith Criterion says:
If every member of a particular set of alternatives beats
everything outside that set, then the winner should come from
The Smith set is the smallest set of alternatives that beat
everything outside that set.
Choosing from the Smith set meets the Smith Criterion.
Obviously the Smith Criterion is only for comparing various
Quite right about the pushover strategy in IRO. I haven't
talked about that offensive strategy, because I've been
emphasizing IRO's big problem of defeating Condorcet winners
& forcing abandonment of favorites even if no one uses
Pushover strategy can, of course also be used in Runoff. Again,
they don't call IRO "Instant Runoff" for nothing.
Also quite right about that Approval example not being a wrong
And the things that critics of Approval point to are things
that don't happen at equilibrium. An equilibrium, as defined
by the 1st proponent of Approval, is an outcome that doesn't
contradict the voter beliefs that led to that outcome.
At equilibrium, Approval gives as good results as you could ask
Someone named Myerson showed that, at equilibrium, Approval is
all that would be needed to drive dishonest politicians, or
politicians of questionble desirability, out of office.
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