[EM] Simple Tournament Proposal

[Kristofer Munsterhjelm]

On 3/22/23 05:00, Forest Simmons wrote:
> Here's my suggestion for choice of tournament champion:
> 
> Lacking an undefeated team, elect the pairwise victor of the defensive 
> and offensive champs.

I'll have to investigate further, but my impression from working with 
burial-resistant methods is that it's impossible to make a method that's 
burial resistant (in the DMTCBR sense) without using positional data.

However, another important property to note is that the modes of 
strategy very much depend on how the data is gathered. In an election 
situation, burial is fairly easy: just change A>X>B>C>D>E>F into 
A>B>C>D>E>F>X. But in sports, the analog would be that A decides to tell 
B to "strategically defeat X", e.g. to score more goals against X (or 
similar) to push X further down the ranking. Presumably any team B would 
be doing its best to defeat X already, so "burial" doesn't really seem 
to be a strategy in sports.

Thus it's not a problem that we don't have positional data, because we 
don't need to defend against that particular strategy.

In sports, what strategies could exist? I'd imagine something more 
like... team B tells team X to play badly against team C, because the 
tiebreaker won't make X win anyway. Thus if say, the Smith set is ABCX, 
then it's possible that X losing more heavily against C could make B win 
instead of A. That's more like compromising, but it's not quite the same 
thing.

-km