Range Generation method can produce impossible range pairs
Closed this issue · 2 comments
Since the range generation is done for each player independently, there can be impossible range pairs produced such as:
P1:
- A: 70%
- K: 10%
- Q: 20%
P2:
- A: 50%
- K: 25%
- Q: 25%
It's not possible for P1 to have A 70% of the time and P2 also having A 50% of the time.
The impossible ranges could skew the models produced
This is not what ranges exactly mean in this setting.
Given these 'ranges' you can easily compute the probability of all the possible pairs (P1:A, P2:A), (P1:A, P2:B), etc.
So in a sense these ranges just encode probabilities of all the possible pairs.
Now the pair probabilities might not sum to 1 due to blocking effect, which is fine.
What you mean by "impossible" ranges in an extreme case means that all of the pairs have zero probability, which is fine.
Thanks for clarification