Dominance, the D-core and stable sets

Abstract

Let 〈N, υ〉 be an n-person game. Let y, z ∈ I(υ), S ∈ 2^N\{φ}. We say that y dominates z via coalition S, denoted by y dom^S z, if

• (i) yⁱ > zⁱ for all i ∈ S,

• (ii) Σ^i∈Syⁱ ≤ υ(S).