Top responsiveness and Nash stability in coalition formation games

Dinko Dimitrov; Shao Chin Sung

Kybernetika (2006)

  • Volume: 42, Issue: 4, page 453-460
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Dimitrov, Dinko, and Sung, Shao Chin. "Top responsiveness and Nash stability in coalition formation games." Kybernetika 42.4 (2006): 453-460. <http://eudml.org/doc/33817>.

@article{Dimitrov2006,
abstract = {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.},
author = {Dimitrov, Dinko, Sung, Shao Chin},
journal = {Kybernetika},
keywords = {coalition formation; hedonic games; Nash stability; top responsiveness; coalition formation; hedonic games; Nash stability; top responsiveness},
language = {eng},
number = {4},
pages = {453-460},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Top responsiveness and Nash stability in coalition formation games},
url = {http://eudml.org/doc/33817},
volume = {42},
year = {2006},
}

TY - JOUR
AU - Dimitrov, Dinko
AU - Sung, Shao Chin
TI - Top responsiveness and Nash stability in coalition formation games
JO - Kybernetika
PY - 2006
PB - Institute of Information Theory and Automation AS CR
VL - 42
IS - 4
SP - 453
EP - 460
AB - 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.
LA - eng
KW - coalition formation; hedonic games; Nash stability; top responsiveness; coalition formation; hedonic games; Nash stability; top responsiveness
UR - http://eudml.org/doc/33817
ER -

References

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  1. Alcalde J., Revilla P., 10.1016/j.jmateco.2003.12.001, J. Math. Econom. 40 (2004), 869–887 Zbl1117.91331MR2096351DOI10.1016/j.jmateco.2003.12.001
  2. Banerjee S., Konishi, H., Sönmez T., 10.1007/s003550000067, Soc. Choice Welf. 18 (2001), 135–153 Zbl1069.91504MR1818583DOI10.1007/s003550000067
  3. Bogomolnaia A., Jackson M. O., 10.1006/game.2001.0877, Games and Economic Behavior 38 (2002), 201–230 Zbl1013.91011MR1881833DOI10.1006/game.2001.0877
  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) 
  5. Dréze J., Greenberg J., 10.2307/1912943, Econometrica 48 (1980), 987–1003 (1980) Zbl0442.90113MR0575036DOI10.2307/1912943
  6. Shapley L., Scarf H., 10.1016/0304-4068(74)90033-0, J. Math. Econom. 1 (1974), 23–28 (1974) Zbl0349.90135MR0416531DOI10.1016/0304-4068(74)90033-0

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