Let wi be a number associated with player i = 1, 2, 3. Suppose a coalition Sc{1,2,3} has value v(S) = (Eies Wi)?. (a) Find the Shapley values {$1, $2, $3} for the players when wi = 2, w2 = 3, and w3 (b) Find a general formula for øi in terms of {w1, w2, w3}. (Simplify. %3D =-1.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let w; be a number associated with player i = 1, 2, 3. Suppose a coalition
Sc{1,2,3} has value v(S) = (Eies Wi)².
(a) Find the Shapley values {¢1, ¢2, Ø3} for the players when wi = 2,
w2 = 3, and w3 = -1.
(b) Find a general formula for Øi in terms of {w1, w2, w3}. (Simplify.
Transcribed Image Text:Let w; be a number associated with player i = 1, 2, 3. Suppose a coalition Sc{1,2,3} has value v(S) = (Eies Wi)². (a) Find the Shapley values {¢1, ¢2, Ø3} for the players when wi = 2, w2 = 3, and w3 = -1. (b) Find a general formula for Øi in terms of {w1, w2, w3}. (Simplify.
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