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Score State
Q: What is a score state? A: A score state is one discrete match result used in the model, such as 0:0, 1:0, or 2:1.
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Score State
Q: What is a score state?
A: A score state is the basic unit used to represent match results in the model.
Many football markets can be judged by final score:
- Moneyline depends on home goals versus away goals.
- Over/under depends on total goals.
- Asian handicap depends on adjusted goal difference.
- Correct score depends on the exact score.
So the model first enumerates a score-state set:
\[ S={s_1,s_2,\ldots,s_m} \]
A small example is:
| Score state |
|---|
| 0:0 |
| 0:1 |
| 1:0 |
| 1:1 |
| 2:1 |
In production, the state space may use:
\[ {0,1,2,3,4,5,99}\times{0,1,2,3,4,5,99} \]
The purpose is not to predict the score. The purpose is to express settlement rules completely.
Score states are the coordinate system of the arbitrage model.