axiomatization of the Shapley value that the requirements of Core Compatibility, Equal Treatment Property and Strong Monotonicity are …

-based cost games. We demonstrate that in general a DAG-game is not concave, even its core might be empty, but we provide an … associated DAG-game. We introduce a network canonization process and prove various structural results for the core of canonized … DAG-games. In particular, we characterize classes of coalitions that have a constant payoff in the core. In addition, we …

games with non-empty cores this means that the core can be reached via a bounded sequence of blocks. …

, hence agreements must be stable against both types of deviations. The appropriate extension of the classicakl core concept …, the Sustainable Core, is defined for this new setup to test the stability of allocations in such a complex environment. A … achieved by choosing an element in the Sustainable Core. …

In this paper we investigate some new applications of Scarf's Lemma. First, we introduce the notion of fractional core …

is in the core, it is an extreme point of the core. We first investigate the general relationships between these … over the set of dual coalitionally rational payoff vectors), lemacols (vectors of lexicographic maxima over the core) and … extreme core points. As byproducts, we show that, similarly to the core and the coalitionally rational payoff set, also the …

matchings, which are called Q-stable matchings. These matchings are core consistent and we offer an efficient algorithm for …

coalitions determine both the core and the nucleolus in monotonic games whenever the core is non-empty. We show how these two …