Balanced Weights and Three-Sided Coalition Formation
We consider three-sided coalition formation problems when each agent is concerned about his local status as measured by his relative rank position within the group of his own type and about his global status as measured by the weighted sum of the average rankings of the other types of groups. We sho...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2010-06-01
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| Series: | Games |
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| Online Access: | http://www.mdpi.com/2073-4336/1/2/159/ |
| _version_ | 1818270390666919936 |
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| author | Emiliya Lazarova Dinko Dimitrov |
| author_facet | Emiliya Lazarova Dinko Dimitrov |
| author_sort | Emiliya Lazarova |
| collection | DOAJ |
| description | We consider three-sided coalition formation problems when each agent is concerned about his local status as measured by his relative rank position within the group of his own type and about his global status as measured by the weighted sum of the average rankings of the other types of groups. We show that a core stable coalition structure always exists, provided that the corresponding weights are balanced and each agent perceives the two types of status as being substitutable. |
| first_indexed | 2024-12-12T21:09:31Z |
| format | Article |
| id | doaj.art-14ad2f7ba4c04637923b066a92519ac2 |
| institution | Directory Open Access Journal |
| issn | 2073-4336 |
| language | English |
| last_indexed | 2024-12-12T21:09:31Z |
| publishDate | 2010-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Games |
| spelling | doaj.art-14ad2f7ba4c04637923b066a92519ac22022-12-22T00:11:56ZengMDPI AGGames2073-43362010-06-011215916710.3390/g1020159Balanced Weights and Three-Sided Coalition FormationEmiliya LazarovaDinko DimitrovWe consider three-sided coalition formation problems when each agent is concerned about his local status as measured by his relative rank position within the group of his own type and about his global status as measured by the weighted sum of the average rankings of the other types of groups. We show that a core stable coalition structure always exists, provided that the corresponding weights are balanced and each agent perceives the two types of status as being substitutable.http://www.mdpi.com/2073-4336/1/2/159/corehedonic gamesthree-sided matching |
| spellingShingle | Emiliya Lazarova Dinko Dimitrov Balanced Weights and Three-Sided Coalition Formation Games core hedonic games three-sided matching |
| title | Balanced Weights and Three-Sided Coalition Formation |
| title_full | Balanced Weights and Three-Sided Coalition Formation |
| title_fullStr | Balanced Weights and Three-Sided Coalition Formation |
| title_full_unstemmed | Balanced Weights and Three-Sided Coalition Formation |
| title_short | Balanced Weights and Three-Sided Coalition Formation |
| title_sort | balanced weights and three sided coalition formation |
| topic | core hedonic games three-sided matching |
| url | http://www.mdpi.com/2073-4336/1/2/159/ |
| work_keys_str_mv | AT emiliyalazarova balancedweightsandthreesidedcoalitionformation AT dinkodimitrov balancedweightsandthreesidedcoalitionformation |