Pairwise mergers in bipartite matching games with an application in collaborative logistics
Merging among players in a cooperative game can alter the structure of the core. This paper shows that in bipartite matching games, if pairs of players from different sides merge, the structure of the core remains unchanged. This allows us to extend the well-known result regarding the characterizati...
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| Format: | Article |
| Language: | English |
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Elsevier
2016
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| Online Access: | https://eprints.nottingham.ac.uk/39121/ |
| _version_ | 1848795767646453760 |
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| author | Hezarkhni, Behzad |
| author_facet | Hezarkhni, Behzad |
| author_sort | Hezarkhni, Behzad |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Merging among players in a cooperative game can alter the structure of the core. This paper shows that in bipartite matching games, if pairs of players from different sides merge, the structure of the core remains unchanged. This allows us to extend the well-known result regarding the characterization of the core with dual solutions for simple games to their associated pairwise merger games. We introduce the class of vehicle scheduling games as an area of application for our result. |
| first_indexed | 2025-11-14T19:37:19Z |
| format | Article |
| id | nottingham-39121 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T19:37:19Z |
| publishDate | 2016 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-391212018-04-17T14:26:48Z https://eprints.nottingham.ac.uk/39121/ Pairwise mergers in bipartite matching games with an application in collaborative logistics Hezarkhni, Behzad Merging among players in a cooperative game can alter the structure of the core. This paper shows that in bipartite matching games, if pairs of players from different sides merge, the structure of the core remains unchanged. This allows us to extend the well-known result regarding the characterization of the core with dual solutions for simple games to their associated pairwise merger games. We introduce the class of vehicle scheduling games as an area of application for our result. Elsevier 2016-10-14 Article PeerReviewed application/pdf en cc_by_nc_nd https://eprints.nottingham.ac.uk/39121/1/pairwise%20mergers%20in%20bipartite.pdf Hezarkhni, Behzad (2016) Pairwise mergers in bipartite matching games with an application in collaborative logistics. Operations Research Letters, 44 (6). pp. 818-822. ISSN 0167-6377 Cooperative game theory; Bipartite matching; Core; Logistics; Collaboration http://www.sciencedirect.com/science/article/pii/S0167637716301183 doi:10.1016/j.orl.2016.10.004 doi:10.1016/j.orl.2016.10.004 |
| spellingShingle | Cooperative game theory; Bipartite matching; Core; Logistics; Collaboration Hezarkhni, Behzad Pairwise mergers in bipartite matching games with an application in collaborative logistics |
| title | Pairwise mergers in bipartite matching games with an application in collaborative logistics |
| title_full | Pairwise mergers in bipartite matching games with an application in collaborative logistics |
| title_fullStr | Pairwise mergers in bipartite matching games with an application in collaborative logistics |
| title_full_unstemmed | Pairwise mergers in bipartite matching games with an application in collaborative logistics |
| title_short | Pairwise mergers in bipartite matching games with an application in collaborative logistics |
| title_sort | pairwise mergers in bipartite matching games with an application in collaborative logistics |
| topic | Cooperative game theory; Bipartite matching; Core; Logistics; Collaboration |
| url | https://eprints.nottingham.ac.uk/39121/ https://eprints.nottingham.ac.uk/39121/ https://eprints.nottingham.ac.uk/39121/ |