[EM] No, Random Candidate doesn´t meet FBC (as of now)
MIKE OSSIPOFF
nkklrp at hotmail.com
Thu Mar 3 08:23:57 PST 2005
Yes, Random did meet FBC, till I posted this message. I´m adding brief
wording to FBC, so that Random Candidate (RC) won´t meet FBC. Then FBC will
be acting in the spirit and intent of FBC even if the method is RC.
I define two changed FBCs, for that purpose:
Non-Random FBC adds wording to the effect that the criterion only applies to
nonrandom methods.
A nonrandom method is a method that ordinarily doesn´t use randomization in
its choice process, but only uses randomization if, because two or more of
its count sums, as could rarely happen, are the same, it either doesn´t
return a winner, or it returns more than one winner.
Feel free to suggest a better definition of a nonrandom method, or to point
out a problem with the above definition, if it has one. If it has one, I´ll
change the definition.
Certainty FBC makes the following small wording change: Change "...s/he can
get his/her best outcome..." to "...s/he can get his/her best outcome with
certainty...".
Either is fine with me. I propose and advocate them both.
SARC would probably need some overhaul to achieve what Certainty FBC
achieves, and so, at least for now, the only RC-proof SARC that I propose is
Non-Random SARC, which only applies to nonrandom methods.
The Non-Random versions of those criteria are, of course, strictly speaking,
rules-criteria. I´ve said that I don´t like rule-criteria. But when the only
rules stipulation is that the method be a nonrandom method, that isn´t a
rules criterion in the objecionable sense, since all the main proposals are
nonrandom methods, and nonrandom methods are the only ones proposable as a
first voting system reform proposal.
Mike Ossipoff
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