Explaining the Shapley value in terms of the “synergies” (and the helpful split in the Venn diagram) makes much more intuitive sense than the more complex normal formula without synergies, which is usually just given without motivation. That being said, it requires first computing the synergies, which seems somewhat confusing for more than three players. The article itself doesn’t mention the formula for the synergy function, but Wikipedia has it.
I thought this too- working with Shapley values is quite intuitive, and the article does an excellent job of this- but how do we derive the synergy values to plug-in in the first place? How do we know that Liam + Emma’s synergy = 0?
Explaining the Shapley value in terms of the “synergies” (and the helpful split in the Venn diagram) makes much more intuitive sense than the more complex normal formula without synergies, which is usually just given without motivation. That being said, it requires first computing the synergies, which seems somewhat confusing for more than three players. The article itself doesn’t mention the formula for the synergy function, but Wikipedia has it.
I thought this too- working with Shapley values is quite intuitive, and the article does an excellent job of this- but how do we derive the synergy values to plug-in in the first place? How do we know that Liam + Emma’s synergy = 0?
Liam alone makes $10
Emma alone makes $20
Liam + Emma make $30
$30 - ($10 + $20) = $0, their synergy.
In general: the synergy is how much more or less the coalition gets than each member’s individual contribution plus all subset synergies.