4 ms·
> Under these assumptions, Laura uses a computational technique called Dynamic Programming to evaluate all possible scenarios in the game tree. Once you factor
by gok 3y ago
> Under these assumptions, Laura uses a computational technique called Dynamic Programming to evaluate all possible scenarios in the game tree. Once you factor in this more complex set of possibilities, the “62.5%” mirage disappears. Laura finds that if you are down by 2 TDs, G42D8 increases your probability of winning by less than 1%.
This is misreading the original source [1]. The <1% figure applies when you have not already gotten the first TD.
[1] https://punkrockor.com/2019/11/15/when-should-a-football-team-attempt-a-two-point-conversion-instead-of-an-extra-point-a-dynamic-programming-approach/ https://punkrockor.com/2019/11/15/when-should-a-football-tea...
- aidenn0 3y ago> We can examine the decision in more detail. When down by 8 with four possessions to go (which matches up with when Carolina went for a two point conversion), a team has one of two choices: Down by 8 and facing a conversion opportunity means you were down by 14 and just scored a touchdown (6 points). It's more that 1 percentage point change (1.7%) not less (and as others have pointed out, it increases your win probability by about 15%), so there is still a misreading.