It's just occurred to me that the 2 voters that I mentioned in my latest definition of probability in an Approval election would obviously end up with equally high overall totals for their utility for the winners, since they have the same utilities. Since I don't want to speak of repeating the same election, I don't know how it would be possible to compare the results of 2 different P, consisting of different Pijk. Ok, how about this?: The Pijk used by a voter are the probabilities for i & j being the frontrunners in each elecion k iff, provided that we do sufficiently many Approval elections, then when we go through the ballots of the elections afterwards, we can always make it be that strategy for him calculated from different Pijk will result in that voter getting a lower overall total for his utilities of the winners in all those elections. And by doing sufficiently many Approval elections, we can make his actual outcome utility total exceed the one with the modified Pijk by as much as we want it to. Now, nothing more about this from me till I'm absolutely sure or am copying from a book or journal. Mike Ossipoff _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com
