Addendum Definitions
1. Anonymous: If i and j are two actors, and w is the gain function that acts just like v except that the roles of i and j have been exchanged, then φi(v) = φj(w). In essence, this means that the labeling of the actors doesn't play a role in the assignment of their gains. Such a function is said to be anonymous.
2. Marginalism: the Shapley value can be defined as a function which uses only the marginal contributions of player i as the arguments.
Read more about this topic: Shapley Value
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