[EM] (no subject)
eric at ericgorr.net
Mon Jul 14 07:23:01 PDT 2003
At 10:18 PM -0700 7/13/03, Alex Small wrote:
>In my opinion, Arrow's theorem is more impressive when you have as few
>assumptions as possible. When the list of incompatible assumptions is
>large, somebody can say "Well, duh! If you pile on a whole bunch of
>assumptions you're likely to make the task impossible."
However, one should not be afraid of more assumptions if there exist
compelling reasons for each of them. Furthermore, I would not
consider 5 assumptions to be beyond the realm of the reasonable.
But, I would be interested where these two different versions came
from. If monotonicity was added later...why and by whom?
I am also wondering if one of the assumptions (or a combination of)
mentioned at, for example,
http://www.math.vanderbilt.edu/~bruff/voting/arrow.html, would imply
that the system is also monotonic.
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