| Title:
|
Top responsiveness and Nash stability in coalition formation games (English) |
| Author:
|
Dimitrov, Dinko |
| Author:
|
Sung, Shao Chin |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
42 |
| Issue:
|
4 |
| Year:
|
2006 |
| Pages:
|
453-460 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Top responsiveness was shown by Alcalde and Revilla [AR] to guarantee the existence of core stable partitions in hedonic coalition formation games. In this paper we prove the existence of Nash stable partitions under top responsiveness when a mutuality condition is imposed. (English) |
| Keyword:
|
coalition formation |
| Keyword:
|
hedonic games |
| Keyword:
|
Nash stability |
| Keyword:
|
top responsiveness |
| MSC:
|
91A12 |
| idZBL:
|
Zbl 1249.91006 |
| idMR:
|
MR2275347 |
| . |
| Date available:
|
2009-09-24T20:17:33Z |
| Last updated:
|
2015-03-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135727 |
| . |
| Reference:
|
[1] Alcalde J., Revilla P.: Researching with whom? Stability and manipulation.J. Math. Econom. 40 (2004), 869–887 Zbl 1117.91331, MR 2096351, 10.1016/j.jmateco.2003.12.001 |
| Reference:
|
[2] Banerjee S., Konishi, H., Sönmez T.: Core in a simple coalition formation game.Soc. Choice Welf. 18 (2001), 135–153 Zbl 1069.91504, MR 1818583, 10.1007/s003550000067 |
| Reference:
|
[3] Bogomolnaia A., Jackson M. O.: The stability of hedonic coalition structures.Games and Economic Behavior 38 (2002), 201–230 Zbl 1013.91011, MR 1881833, 10.1006/game.2001.0877 |
| Reference:
|
[4] Sung D. Dimitrov, S.-C.: Top Responsiveness, Stable Partitions in Coalition Formation Games.IMW Working paper 365, Bielefeld University 2005. (Available at: http://www.wiwi.uni-bielefeld.de/ imw/Papers/files/imw-wp-365.pdf) |
| Reference:
|
[5] Dréze J., Greenberg J.: Hedonic coalitions: optimality and stability.Econometrica 48 (1980), 987–1003 Zbl 0442.90113, MR 0575036, 10.2307/1912943 |
| Reference:
|
[6] Shapley L., Scarf H.: On cores and indivisibility.J. Math. Econom. 1 (1974), 23–28 Zbl 0349.90135, MR 0416531, 10.1016/0304-4068(74)90033-0 |
| . |
