These are two different games. The joint game would be
Value of {}: 0 Value of {1}: 60 Value of {2}: 0 Value of {1,2}: 100`
and in that game player one is indeed better off in shapley value terms if he joins together with 2.
I’ll let you reflect on how/whether adding an additional option can’t decrease someone’s shapley value, but I’ll get back to my job :)
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These are two different games. The joint game would be
Value of {}: 0 Value of {1}: 60 Value of {2}: 0 Value of {1,2}: 100`
and in that game player one is indeed better off in shapley value terms if he joins together with 2.
I’ll let you reflect on how/whether adding an additional option can’t decrease someone’s shapley value, but I’ll get back to my job :)