Atay, AtaNúñez, Marina (Núñez Oliva)2017-01-242017-01-2420171136-8365https://hdl.handle.net/2445/106002We 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 described by means of the cores of the underlying two-sided assignment games associated with the edges of this graph. Moreover, once selected a spanning tree of the cycle-free graph on the sectors, the equivalence between core and competitive equilibria is established.25 p.application/pdfengcc-by-nc-nd, (c) Ata et al., 2017http://creativecommons.org/licenses/by-nc-nd/3.0/Jocs cooperatius (Matemàtica)Assignació de recursosEquilibri (Economia)Cooperative games (Mathematics)Resource allocationEquilibrium (Economics)Multi-sided assignment games on m-partite graphs [WP]info:eu-repo/semantics/workingPaper2017-01-24info:eu-repo/semantics/openAccess