Let w; be a number associated with player i = 1, 2, 3. Suppose a coalitionSc{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.

Given: Let wi be a number associated with player i=1,2,3 and a coalition S⊂1,2,3 has value…

Answered: Let wi be a number associated with…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...

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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.