A Brief Review of The Shapley Value

Given a value function v, the Shapley value is a solution to distributing the payoff v(N) to parties in N [14]. Given an order of parties (i.e., a permutation π of N), party i joins the coalition P The Shapley value is'fair' since it is the unique solution that satisfies several desirable properties as elaborated below. It ensures that all of v(N) are distributed to the parties. It implies parties with equal marginal contributions to any coalitions have the same payoff. A reward allocation scheme is replication-robust if a party cannot increase its rewards by replicating its data and participating in the collaboration as multiple parties.