| Makale Bilgileri |
| Dergi: |
Business and Economics Research Journal |
| Makalenin Başlığı: |
Anonymous and Separable Hedonic Coalition Formation Games: Nash Stability Under Different Membership Rights |
| Yazar(lar): |
Mehmet Karakaya , Seçkin Özbilen |
| Cilt: |
14 |
| Sayı: |
3 |
| Yıl: |
2023 |
| Sayfa: |
303-319 |
| ISSN: |
2619-9491 |
| DOI Numarası: |
10.20409/berj.2023.419 |
|
| Öz |
| We consider hedonic coalition formation games. A hedonic coalition formation game is a pair which consists of a finite set of agents and a list of agents’ preferences such that each agent has preferences over all coalitions containing her. We study the existence of a Nash stable partition under different membership rights for anonymous and separable hedonic coalition formation games. We prove that for anonymous and separable hedonic games, the existence of a Nash stable partition is always guaranteed when the membership rights are Free Exit-Approved Entry or Approved Exit-Free Entry, but the existence of a Nash stable partition is not guaranteed when the membership rights are Free Exit-Free Entry. We also analyze the relation of the anonymity and separability with the other sufficient conditions which guarantee the existence of a Nash stable partition under different membership rights. |
| Anahtar Kelimeler: |
Coalition Formation, Hedonic Games, Nash Stability, Membership Rights |
|
| JEL Sınıflandırması: |
C71, C78, D71 |
|
