Finally , we showed that the final odds for the underbet horse fall as the number of professional bettors increases .
We also showed that an increase in the initial odds causes expected profits per professional bettor to rise and therefore would be expected to attract more professional bettors .
We showed that the final odds for the underbet horse fall as the number of professional bettors increases .
We also showed that an increase in the initial odds causes expected profits per professional bettor to rise and therefore would be expected to attract more professional bettors .