In a strategic coalitional game, we consider the relations among four cores α, β, γ, and the one we call δ which is obtained by slightly weakening the conjectural cooperative equilibria due to Currarini and Marini. We show that the α-core and the γ-core are refined by the δ-core; and,...

In a strategic cooperative game, we consider four cores α, β, γ and the one we call δ which is essentially the same to conjectural cooperative equilibria due to Currarini and Marini [2]. We show that if every player has a dominant strategy, the β-core includes the γ-core, and therefore...