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

, 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. …

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

We examine the notion of the core when cooperation takes place in a setting with time and uncertainty. We do so in a … possible binding commitments regarding their actions at different date-events. We unify various treatments of dynamic core … concepts existing in the literature. This results in definitions of the Classical Core, the Segregated Core, the Two-stage Core …

commitment possibilities and propose the Weak Sequential Core as a solution concept. We characterize the Weak Sequential Core and …

noncooperative, sequential coalition formation model and show that the set of equilibrium outcomes coincides with the recursive core …, a generalisation of the core to such games. In order to extend past results limited to totally recursive … remaining players: the stability of core payoff configurations is ensured by a combination of the pessimism of players going for …

-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 …

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

stable solutions of a multiple partners matching game in two different ways and perform a study on the core of the … the existence of a stable solution and the non-emptiness of the core, which holds in the other models with payments, is no …