There's no disagreeing with an example. Yes, if the 2 Pij are always
the same, then the 2000 Presidential election was legitimate & valid.

I'd taken it for granted that which 2 candidates are at the front of
the pack wasn't related to whether the front 2 candidates' totals were close
enough for a tie, and so I believed that the probability of i & j
being frontrunners when there's a tie for 1st place would be the same
as their probability of being frontrunners.

But the example shows that that isn't necessarily so. And the example
makes it look obvious. If 1 candidate has a durable
lead over another, maybe they can be frontrunners, but they can't be
in a tie.

In fairness to myself, I asked for an example demonstrating this early
in the discussion. I didn't look for one myself, because I was completely
convinced that it was impossible.

Mike Ossipoff

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