-firm-buyer games have non-empty core. We show that for these games the core coincides with the classical bargaining set (Davis and …

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. …

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 …

In this paper, we study different notions of stability for three-sided assignment games. Since the core may be empty in …-Morgenstern stable sets. The dominant diagonal property is necessary for the core to be a stable set, and also sufficient in the case … of the extended cores of all μ-compatible subgames, for a given optimal matching μ, is the core with …

staying with the original outcome with the risk of deviating. Employing this idea to the core leads to a new concept that we … call the risk-based core. We introduce this concept and discuss its properties. We find an inclusion relation between cores … yields many of the familiar inclusion relations as corollaries, while the inclusion of the optimistic core in the optimistic …

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 …