The Shapley value is an established mechanism for “fair” wealth distribution in coalitional games, just as the core and kernel are established mechanisms for “ ...

In this paper, we consider the class of supermodular games (sometimes called convex games), and give a fully polynomial-time randomized approximation scheme ( ...

Definition: For all S,T, v(S ∪ T) + v(S ∩ T) ≥ v(S) + v(T). or: For all S ⊆ T, for all i /∈ T, v(T ∪ {i}) − v(T) ≥ v(S ∪ {i}) − v(S).

PDF | Coalitional games allow subsets (coalitions) of players to cooperate to receive a collective payoff. This payoff is then distributed “fairly”.

Abstract. Coalitional games allow subsets (coalitions) of players to co- operate to receive a collective payoff. This payoff is then distributed.

Jan 1, 2012 · In particular, we give a fully polynomial-time randomized approximation scheme (FPRAS) to compute the Shapley value to within a (1 plus/minus ...

Jan 23, 2022 · Consider a coalitional game with 5 players (that is, these 4 parties and the president P). How do I find the Core and the Shapley value?

Finally, in Section 4.3 we show that the Shapley value (and the Banzhaf value) can be computed by counting suitable solutions (corresponding to coalitions) of ...

The Shapley value is a popular solution concept in cooperative game theory that provides a unique allocation to a set of players in a coalitional game.

the core of a supermodular game is nonempty; in particular, a value division called the Shapley value is always in the core (Shapley 1967). If we wish to ...