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Multi-Sided Assignment Games on M-Partite Graphs
| Content Provider | Scilit |
|---|---|
| Author | Atay, Ata Nnnez, Marina |
| Copyright Year | 2017 |
| Description | Journal: SSRN Electronic Journal 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. |
| Related Links | https://link.springer.com/content/pdf/10.1007/s10479-019-03256-5.pdf https://papers.ssrn.com/sol3/Delivery.cfm?abstractid=2905538 |
| ISSN | 10914358 |
| e-ISSN | 15565068 |
| DOI | 10.2139/ssrn.2905538 |
| Journal | SSRN Electronic Journal |
| Language | English |
| Publisher | Elsevier BV |
| Publisher Date | 2017-01-19 |
| Access Restriction | Open |
| Subject Keyword | Journal: SSRN Electronic Journal Automotive Engineering Cooperative Games Multi-sided Assignment Games Competitive Equilibria |
| Content Type | Text |
| Resource Type | Article |
| Subject | Public Health, Environmental and Occupational Health Psychiatry and Mental Health |
