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shapley_value's Introduction

Shapley Value

This is python code to compute a Shapley Value of a characteristic form game.

Run

python2 shapley.py <inputfilename>

Input File Format

N = n

v(1),...,v(1,2,…,n)

(Number of players in the first row and valuations for all the coalitions in the second row except the empty set. Valuations are ordered in this manner: v(1),..,v(n),v(12),..,v(1n),v(23)..,v(2n),..,v(n-1n),v(123),v(124),.,v(12n),v(234)..,..,v(12..n) )

Files

TestCases/divide_dollar file has been provided which is for the Divide the Dollar version 2 game from Prof. Y. Narahari's Game Theory lecture notes http://lcm.csa.iisc.ernet.in/gametheory/ln/web-cp3-TUgames.pdf

There are many other input test files in the TestCases directory

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shapley_value's Issues

V value

Hi, I am sorry to bother you again. May I please ask how did you derive the parameter for V? What is the function of the V? When I went through your text files TC1.Text. I found this N = 4
1, 1, 2, 1, 3, 4, 4, 3, 4, 4, 5, 7, 6, 6, 8

The value is of N is clear, how did you get the following values : 1, 1, 2, 1, 3, 4, 4, 3, 4, 4, 5, 7, 6, 6, 8 (text file TC1.Text)

The coalition order

Hi ,
9 players should have 511 coalitions, that is N=9.
3 players (in a team with 9 members)will have 84 coalitions . As your document, i have the following list:
v(123),v(124),v(125),v(126),v(127),v(128),v(129),
v(234),v(235),...v(239),
v(345),v(346)..........v(349)
...
v(789)
Above is 24 coalitions, so still have 84-24=60 coalitions, would you like to let me know what’s next?
V(134) v(135) ...v(139)
V(145)v(146)...v(149)
V(156)v(157)..v(159)
...
V(189)
Are these right?

The order of these data seems to have some impact on the result.
Much appreciated it if any help could be provided.
Thanks.

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