if you allocated π2 for a gold, π for a silver and 1 for a bronze, there could never be any tie in the total scores except when two countries had exactly the same medal counts in all three categories!
LOL. That's nice.
I expect that's true. Can any olympic sports result in a draw? If a timed event is a dead heat according to the best measurements, or a scored event has two players receive (a permutation of) the same scores from each judge, I don't know if: they can share a medal; or if they have to do it again; or if there's a coin-toss; or if it varies by event.
I assume no sport would divide a medal in any proportion but equally (since, obviously the player with a larger portion did better and ought to win outright), but I wouldn't be absolutely certain -- there are some very freaky sports out there somewhere :)
I guess the only other way pi-scoring could fail is if someone had the bright idea of partly introducing a game to the Olympics. Like Cambridge University awards (iirc) half- and quarter- blues to some varsity teams, instead of a blue[1]. If a gold at caber-toss counted as (pi-2) of a gold... But that would be silly :)
[1] That sounds unfair, but some varsity matches (eg. Tolkien Quiz, Tolkien Croquet, don't get blues at all! :)
I believe there are a few exact draws, yes, and what happens is that the medal does get shared. A draw in third place leads to that event awarding a gold, a silver and two bronzes; a draw in second place leads to two silvers and (I think) no bronze. In fact, apparently each of those happened once this year. I don't think there was a draw in first place at any point, but it seems clear that there'd be two golds and a bronze awarded if there were. (Or there might be emergency sudden-death playoffs of some sort, but if those failed then that'd be the obvious fallback position.)
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LOL. That's nice.
I expect that's true. Can any olympic sports result in a draw? If a timed event is a dead heat according to the best measurements, or a scored event has two players receive (a permutation of) the same scores from each judge, I don't know if: they can share a medal; or if they have to do it again; or if there's a coin-toss; or if it varies by event.
I assume no sport would divide a medal in any proportion but equally (since, obviously the player with a larger portion did better and ought to win outright), but I wouldn't be absolutely certain -- there are some very freaky sports out there somewhere :)
I guess the only other way pi-scoring could fail is if someone had the bright idea of partly introducing a game to the Olympics. Like Cambridge University awards (iirc) half- and quarter- blues to some varsity teams, instead of a blue[1]. If a gold at caber-toss counted as (pi-2) of a gold... But that would be silly :)
[1] That sounds unfair, but some varsity matches (eg. Tolkien Quiz, Tolkien Croquet, don't get blues at all! :)
I believe there are a few exact draws, yes, and what happens is that the medal does get shared. A draw in third place leads to that event awarding a gold, a silver and two bronzes; a draw in second place leads to two silvers and (I think) no bronze. In fact, apparently each of those happened once this year. I don't think there was a draw in first place at any point, but it seems clear that there'd be two golds and a bronze awarded if there were. (Or there might be emergency sudden-death playoffs of some sort, but if those failed then that'd be the obvious fallback position.)