having a nonempty core, and this core is usually considered as the solution of game. Based on the concept of k-additivity, we … define to so-called k-balanced games and the corresponding generalization of core, the k-additive core, whose elements are … corresponding k-additive core is not empty. For the games in the k-additive core, we propose a sharing procedure to get an …

graphs. We study in this perspective the core of games defined on k-regular set systems. We show that the core may be …

The core of a cooperative game on a set of players N is one of the most popular concept of solution. When cooperation … is restricted (feasible coalitions form a subcollection F of 2N), the core may become unbounded, which makes it usage … questionable in practice. Our proposal is to make the core bounded by turning some of the inequalities defining the core into …

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 …

-multicoalitional core and the c-multicoalitional core, and both arise as the strong Nash equilibrium of two games, where in the first … utility per active unit of time is maximized, while in the second it is the utility per total unit of time. We show that the d-core … (or aspiration core) of Benett, and the c-core of Guesnerie and Oddou are strongly related to the d-multicoalitional and c …

In cooperative games, the core is one of the most popular solution concept since it ensures coalitional rationality …. For non-balanced games however, the core is empty, and other solution concepts have to be found. We propose the use of … particular, the k-additive core proposed by Grabisch and Miranda is a general solution preserving coalitional rationality which …

core (nonemptiness, boundedness, pointedness, extremal rays). …