game, a payoff is in the partnered core of the game if it is partnered, feasible and cannot be improved upon by any … coalition of players. We show that the relative interior of the core of a game with side payments is contained in the partnered … core. For quasi-strictly convex games the partnered core coincides with the relative interior of the core. When there are …

-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …

This paper studies the core of combined games, obtained by summing two coalitional games. It is shown that the set of … core of the combined game coincides with the sum of the cores of its components. On the other hand, for non-balanced games …, the binary relation associating two component games whose combination has an empty core is not transitive. However, we …

This paper investigates core stability of cooperative, TU games via a fuzzy extension of the totally balanced cover of … a TU game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to reflect the … core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the existence …

: (a) equivalence of the core and the set of competitive outcomes; (b) the Shapley value is contained in the core or … approximate cores; (c) the equal treatment property holds -- that is, both market equilibrium and the core treat similar players …

Finding a solution concept is one of the central problems in cooperative game theory, and the notion of core is the … core, reflecting the team structure, and previous attempts are not satisfactory in this respect. We propose a new notion of … core, which imposes efficiency of the allocation at each level of the hierarchy, and answers the problem of sharing …

function f. And we give the explicit expression, in the case of a convex capacity v = f o P, of a probability in the core of v …