is a further generalization of the model introduced by Eriksson and Karlander [2]. We prove that the core of our model is …

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 …

without changing the core of the game. These games will be called buyerseller exact games and satisfy the condition that each … mixedpair coalition attains the corresponding matrix entry in the core of the game. For a given assignment game, a unique … buyerseller exact assignment game with the same core is proved to exist. In order to identify this matrix and to provide a …

not be balanced. Some conditions for balancedness are provided and, in that case, properties of the core are analyzed … the cores of two assignment games coincides with the core of the sum game. …