Shapley Value

versión 1.0.0.0 (2.47 KB) por RMS Danaraj
This programs determines the shapley value of a cooperative game

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Actualizada 25 Apr 2014

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his software determines the shapley value of the transferable utility game.This developed as part of my research in cooperative games.This software can be utilised for transferable utility games.
Unzip the folder TU-RAJ and add it to the path.
if want to have the coalition matrix.Coalition matrix is the set of the all coalition combinations.for n player there are 2^n-1 colaition constraints.

The command coalition(n) will give the colaition matrix A;

Example-1

n=5;

A=coalition(n)

A =
1 0 0 0 0
0 1 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 1
1 1 0 0 0
1 0 1 0 0
1 0 0 1 0
1 0 0 0 1
0 1 1 0 0
0 1 0 1 0
0 1 0 0 1
0 0 1 1 0
0 0 1 0 1
0 0 0 1 1
1 1 1 0 0
1 1 0 1 0
1 1 0 0 1
1 0 1 1 0
1 0 1 0 1
1 0 0 1 1
0 1 1 1 0
0 1 1 0 1
0 1 0 1 1
0 0 1 1 1
1 1 1 1 0
1 1 1 0 1
1 1 0 1 1
1 0 1 1 1
0 1 1 1 1

To determine shapley value the no of players and the coalition values should be given as input to the program.

Example-2
n=5;

v=[1 2 3 4 5 3 4 5 6 5 6 7 7 8 9 6 7 8 8 9 10 9 10 11 12 10 11 12 13 14 15];
S=shap1(n,v)

Citar como

RMS Danaraj (2022). Shapley Value (https://www.mathworks.com/matlabcentral/fileexchange/46358-shapley-value), MATLAB Central File Exchange. Recuperado .

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Se creó con R14
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