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Compute the Shapley value for the games represented by the following MC-Nets:

asked 2018-01-08 15:43:22 -0500

shabi gravatar image

a1 ∧ a2 → 6

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Welcome to Ask Sage.

It would make sense to provide references for the vocabulary and notation.

It seems the context is coalitional game theory, and "mc-net" means "marginal contribution net".

Are these the references you have in mind?

slelievre gravatar imageslelievre ( 2018-01-08 18:34:32 -0500 )edit

For example you could change the title to "Shapley values for games". Then, inside the question, you could give a little introduction such as:

In game theory, games can be represented by "marginal contribution nets", also known as "MC-Nets". Using the notation introduced in the book ... / the article ..., consider the game represented by the MC-Net:

a1 ∧ a2 → 6

Is it possible to compute the Shapley value of this game with SageMath?

In particular, an algorithm is described in ... and I would like to know if it is implemented in Sage.

Please adapt to your case. As it is, my guess is that few users would be able to answer your question.

slelievre gravatar imageslelievre ( 2018-01-08 18:47:05 -0500 )edit

Note that the reference manual for game theory in Sage, in html and pdf, is at

Maybe you could say if there is something there that is close to your question.

slelievre gravatar imageslelievre ( 2018-01-08 18:49:30 -0500 )edit

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answered 2018-01-10 13:40:07 -0500

vinceknight gravatar image

I'm not completely familiar with MC-Nets game but if it is possible to obtain a standard coalition function then it is indeed possible using the following functionality in Sage: https doc.sagemath.org/html/en/reference/game_theory/sage/game_theory/cooperative_game.html

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Asked: 2018-01-08 15:43:22 -0500

Seen: 35 times

Last updated: Jan 08