Talk:Shapley value
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[edit] Characterized by properties 2, 3, and 5?
Isn't property number 1 also necessary? Otherwise, you could just divide the total value of the game evenly between all the players, and this function would clearly satisfy properties 2, 3, and 5.
[edit] Properties 2, 3 and 5 do NOT characterize the Shapley value
One property is missing: If a player is null, it receives zero. A player i is null if 
for all S not containg i. The Shapley value is the only value that satisfies this property, plus 2, 3, and 5. —Preceding unsigned comment added by 193.147.86.254 (talk) 17:26, 14 September 2007 (UTC)
- You are right. Just take v(N) and divide it evenly among the players. This is another solution, different from the Shapley value, that satisfies 2, 3, and 5. --Fioravante Patrone en (talk) 01:19, 29 April 2008 (UTC)
