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http://hdl.handle.net/2445/106002
Title: | Multi-sided assignment games on m-partite graphs [WP] |
Author: | Atay, Ata Núñez, Marina (Núñez Oliva) |
Keywords: | Jocs cooperatius (Matemàtica) Assignació de recursos Equilibri (Economia) Cooperative games (Mathematics) Resource allocation Equilibrium (Economics) |
Issue Date: | 2017 |
Publisher: | Universitat de Barcelona. Facultat d'Economia i Empresa |
Series/Report no: | [WP E-Eco17/357] |
Abstract: | We 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. |
It is part of: | UB Economics – Working Papers, 2017, E17/357 |
URI: | http://hdl.handle.net/2445/106002 |
ISSN: | 1136-8365 |
Appears in Collections: | UB Economics – Working Papers [ERE] Documents de treball (Matemàtica Econòmica, Financera i Actuarial) |
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File | Description | Size | Format | |
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E17-357_Atay_MultiSided.pdf | 449.64 kB | Adobe PDF | View/Open |
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