Write down a tournament model of Frechet selection

korenmiklos / poaching

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Open korenmiklos opened 8 months ago

korenmiklos commented 8 months ago

Winning always takes the Tm of all losers
What about Frechet losers?
Create a DAG of competition and compute the final Frechet parameter.
Compare to Elo algorithm.
Think about adding noise, like win(T1, T2) = T1 + alpha * T2 rather than T1 + T2

korenmiklos commented 8 months ago

If T1 wins in competition with T2 and T3, we learn that its rapport is Frechet with T1+T2+T3.

But 2 and 3 will "ask for a new draw" so that their loss is not persistent. They will remain Frechet with T2 and T3.

Another match will result in a win for 1 with prob (T1 + T2 + T3) / (T1 + 2 T2 + 2 T3).

korenmiklos commented 8 months ago

This provides easy-to-follow dynamics. But have to measure the number of competitions and the participants.