Perplexed comments on Fair Division of Black-Hole Negentropy: an Introduction to Cooperative Game Theory - Less Wrong

26 Post author: Wei_Dai 16 July 2009 04:17AM

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Comment author: Wei_Dai 19 July 2009 11:34:18AM 2 points [-]

Ok, I think I can articulate a reason for my doubt about the Shapley Value. One nice property for a fair division method to have is that the players can't game the system by transferring their underlying contributions to one another. That is, Alice and Eve shouldn't be able to increase their total negentropy allocation (at Bob's expense) by transferring matter from one to the other ahead of time. Proportional allocation satisfies this property, but Shapley Value doesn't (unless it happens to coincide with proportional allocation).

Comment author: Perplexed 14 February 2011 01:24:51PM 0 points [-]

In Shapley value, a coalition of Alice and Eve against Bob is given equal weight with the other two possible two-against-one coalitions. Yes, Shapley does permit 'gaming; in ways that proportional allocation does not, but it treats all possible 'gamings' (or coalition structures) equally.