[EM] Re: Arrow's axioms
Kevin Venzke
stepjak at yahoo.fr
Thu Mar 4 14:28:01 PST 2004
Ken,
--- Ken Johnson <kjinnovation at earthlink.net> a écrit : >
> Arrow's axioms could well be justifiable, but his proof doesn't provide
> the justification. There may be good reasons why CR should be rejected
> as a viable election method, but Arrow's premises don't elucidate those
> reasons because if the theorem were generalized to encompass cardinal
> methods, its conclusion would be that rank methods cannot satisfy the
> axioms whereas CR can.
This is like saying "There may be good reasons why Random Ballot should be
rejected as a viable election method, but Arrow's premises don't elucidate
those reasons because if the theorem were generalized to encompass dictatorship
methods, its conclusion would be that non-dictatorial methods cannot satisfy
the axioms whereas Random Ballot can."
I hope it's evident why this is a strange way of speaking.
Kevin Venzke
stepjak at yahoo.fr
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