We ran a bit late last Wednesday. The final match pitted Philippe and Alec. Instead of duking it out, they agreed to split the match evenly. Nice resolution, but that meant I had to figure out how to split the points fairly.
Going into the match, Philippe had 3 points and Alec 4. The winner would get 8 points (Alec’s 4 + Philippe’s 3 + 1 for the win. Note this equals, as it should, n-1, where n is the number of players in the tournament, 9.)
Here is my solution: each player takes the average points of the two possible outcomes of the match.
|OUTCOME||Philippe's Points||Alec's Points|
|If Philippe wins||8||4|
|If Alec wins||3||8|
|Average of 2 outcomes||5.5||6.0|
Thus, Alec gets 6 points and Philippe 5.5.