[EM] math 103 website - Arrow & Saari

[Steve Barney]

Bart:

What is the definition of a "deterministic" voting system, as Saari apparently
uses the term?

I thought that it had something to do with being able to determine what the
ballots said, from the final tally. I guess that the Borda Count is more
"determinant" than the Plurality Vote that way, as you can't tell what the 2nd,
3rd, etc., preferences were at all. Perhaps the Approval Vote is similar to the
Plurality Vote to the extent that voters choose to bullet vote, or because you
cannot tell which approved candidates were more preferred than others. With the
BC you can always tell (correct me if I'm wrong) how many first place votes,
second place votes, etc., a candidate got, if you have the final tally and the
number of ballots (assuming no truncated ballots).

Steve Barney

--- In election-methods-list at y..., Bart Ingles <bartman at n...> wrote:
> 
[...]
> Of course, how many voters would be willing to strategize in such a way
> depends on the sophisication of the voters, and on the actual
> intensities involved, so the actual outcome would be difficult to
> predict.  So much for Borda being a deterministic voting system (one of
> Saari's justifications for preferring Borda over approval voting).
> 
> In this case, behavior under approval voting should be much more
> predictable, since most or all of the voters could be expected to bullet
> vote.
> 
> Bart


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