Atay, AtaNúñez, Marina (Núñez Oliva)2020-02-192020-12-3120190254-5330https://hdl.handle.net/2445/150702We consider a multi-sided assignment game with the following characteristics: (a) the agents are organized in m sectors that are connected by a graph that induces a weighted m-partite graph on the set of agents, (b) a basic coalition is formed by agents from different connected sectors, and (c) the worth of a basic coalition is the addition of the weights of all its pairs that belong to connected sectors. We provide a sufficient condition on the weights to guarantee balancedness of the related multi-sided assignment game. Moreover, when the graph on the sectors is cycle-free, we prove the game is strongly balanced and the core is fully described by means of the cores of the underlying two-sided assignment games associated with the edges of this graph. As a consequence, the complexity of the computation of an optimal matching is reduced and existence of optimal core allocations for each sector of the market is guaranteed.20 p.application/pdfeng(c) Springer Verlag, 2019Jocs cooperatius (Matemàtica)Assignació de recursosEquilibri (Economia)Cooperative games (Mathematics)Resource allocationEquilibrium (Economics)info:eu-repo/semantics/article6947112020-02-19info:eu-repo/semantics/openAccess