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	Rugged defense Information

Large scores

Let's turn now more closely to the large score function defined above, which is a good approximation starting with 5000 points.

• This function is linear in z so we can have a look at it for z=1. And for another z we just need to multiply by z whatever quantity we found for z=1.
• This function is an upside down branch of parabola in w, the win percent. See below how your winnings evolve according to your win percent. There is one curve for each possible outcome.
• if your outcome is half of your win percent, your winnings is zéro. If below, you loose points.

  So starting with draw you can't loose points, since you can't have a win percent superior to 100.

  For an MD, you loose points if your win percent is above 66, for an SD if above 44 and for an OD you are sure to loose points.

  In general, to know how many points you will gain just choose the curve corresponding to the outcome of the match, and set your win percent on the X axis.

  This is for size 1. for another size of scenario z, multiply what you found here by the size z. You see clearly here the concept of more risky match for bigger scenario size. It's just like a bet with more stakes.

         
         Reading of the graph:
         your winnings is read at the intersection of your win percent
         on the X-axis and the curve corresponding to the outcome of the match.
         if size z of the match different from 1, multiply the number just read by
         this z to get your winnings.
         Example
     
              w=60, outcome=MV => winnings=178, for size 1
              winnings = 356 for size 2, etc...