Shapley Value Calculation
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I have a problem using Shapley value. I have a 3-person game. Related to the Shapley value definition, all coalitions are possible (2^3 = 8 coalitions). But my game is in the real world and 2 of my players cannot cooperate and make a coalition.
For example let N=A,B,C
My feasible coalitions (except null) are: A,B,C,AB,C,A,BC and ABC.
I'm wondering if someone could help me how should I calculate the Shapley value for above set of coalitions.
Regards
game-theory
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up vote
2
down vote
favorite
I have a problem using Shapley value. I have a 3-person game. Related to the Shapley value definition, all coalitions are possible (2^3 = 8 coalitions). But my game is in the real world and 2 of my players cannot cooperate and make a coalition.
For example let N=A,B,C
My feasible coalitions (except null) are: A,B,C,AB,C,A,BC and ABC.
I'm wondering if someone could help me how should I calculate the Shapley value for above set of coalitions.
Regards
game-theory
Welcome to math.SE! Please see this tutorial and reference on how to typeset math on this site.
â joriki
Sep 7 at 23:55
add a comment |Â
up vote
2
down vote
favorite
up vote
2
down vote
favorite
I have a problem using Shapley value. I have a 3-person game. Related to the Shapley value definition, all coalitions are possible (2^3 = 8 coalitions). But my game is in the real world and 2 of my players cannot cooperate and make a coalition.
For example let N=A,B,C
My feasible coalitions (except null) are: A,B,C,AB,C,A,BC and ABC.
I'm wondering if someone could help me how should I calculate the Shapley value for above set of coalitions.
Regards
game-theory
I have a problem using Shapley value. I have a 3-person game. Related to the Shapley value definition, all coalitions are possible (2^3 = 8 coalitions). But my game is in the real world and 2 of my players cannot cooperate and make a coalition.
For example let N=A,B,C
My feasible coalitions (except null) are: A,B,C,AB,C,A,BC and ABC.
I'm wondering if someone could help me how should I calculate the Shapley value for above set of coalitions.
Regards
game-theory
game-theory
asked Sep 1 at 7:47
Sahand M.s
111
111
Welcome to math.SE! Please see this tutorial and reference on how to typeset math on this site.
â joriki
Sep 7 at 23:55
add a comment |Â
Welcome to math.SE! Please see this tutorial and reference on how to typeset math on this site.
â joriki
Sep 7 at 23:55
Welcome to math.SE! Please see this tutorial and reference on how to typeset math on this site.
â joriki
Sep 7 at 23:55
Welcome to math.SE! Please see this tutorial and reference on how to typeset math on this site.
â joriki
Sep 7 at 23:55
add a comment |Â
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