-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 …

service that generates the revenues. We focus on the study of the core of cost-revenue games. Under the assumption that … shown that a cost-revenue game has a non-empty core for any vector of revenues if, and only if, the dual game of the cost … game has a large core. Using this result, we investigate minimum cost spanning tree games with revenues. We show that if …

In the classical setting of cooperative game theory, it is always assumed that all coalitions are feasible. However in … graphs. We study in this perspective the core of games defined on k-regular set systems. We show that the core may be …

: (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 …

This paper investigates core stability of cooperative (TU) games via a fuzzy extension of the totally balanced cover of … a cooperative 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 …

: (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 …

to the c-core, while the latter corresponds to the aspiration core or d-core, where in both case, the best configuration …, that is, coalitions for which any solution of the d-core yields a payment for that coalition equal to its worht. In … possible payment (core element) and a single possible configuration. We also introduce the notion of inescapable coalitions …

Finding a solution concept is one of the central problems in cooperative game theory, and the notion of core is the …, one or several players with all their subordinates. In these situations, the core in its usual formulation may be … unbounded, making its use difficult in practice. We propose a new notion of core, called the restricted core, which imposes …

My Back-Yard") problem. We derive and discuss conditions for core solutions to exist. These conditions are driven by the … particular, we construct a hypothetical example on a real administrative unit in which the core is shown to be empty. These …