JGWeissman comments on Blame Theory - Less Wrong

9 Post author: cousin_it 19 May 2010 09:49PM

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Comment author: JGWeissman 19 May 2010 11:47:53PM *  2 points [-]

The formula for the Shapley value (from the wiki article):

What this means is you take all sub coalition S of the total coalition N, excluding sub coalition that include yourself. Then average over the difference in value of the sub coalition S plus yourself and just the sub coalition S. (The first term in the sum makes it a weighted average depending on the sizes of S and N.) These sub coalitions S, and S plus yourself, did not actually happen, you are considering the counterfactual value of those being the actual coalitions.

The point is that the formula knows how your inclusion in a coalition changes its value.