and the transformed one, which is called the Weber set of level k. We prove that the core of the original game is included …

-submodular. Therefore the core is non-empty and it has a lattice structure which contains the allocation where every buyer receives his … equilibrium and vice versa. We study conditions under which the buyers-optimal and the seller-optimal core allocations are … competitive equilibrium payoff vectors. Moreover, we characterize the markets for which the core coincidences with the set of …

core and the kernel of a coalitional game in Maschler et al (1979). …

-optimal and the sellers-optimal core allocations. Non- square markets are analyzed also by reducing them to appropriate square …

-Bawerk assignment games to situations with an arbitrary number of sectors. We reach the extreme core allocations of any multi-sided B … sellers and buyers. We also study when the core of these games is stable in the sense of von Neumann-Morgenstern. …

We characterize single-valued solutions of transferable utility cooperative games satisfying core selection and …

the same core. We state conditions on matrix entries that ensure that the related assignment games have the same core. We … prove that the set of matrices leading to the same core form a join-semilattice with a nite number of minimal elements and a …