On dominance core and stable sets for cooperative ellipsoidal games


ALPARSLAN GÖK S. Z., Weber G. -.

OPTIMIZATION, cilt.62, sa.10, ss.1297-1308, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 62 Sayı: 10
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1080/02331934.2013.793327
  • Dergi Adı: OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1297-1308
  • Anahtar Kelimeler: cooperative games, uncertainty, ellipsoids, dominance core, stable sets
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The allocation problem of rewards or costs is a central question for individuals and organizations contemplating cooperation under uncertainty. The involvement of uncertainty in cooperative games is motivated by the real world where noise in observation and experimental design, incomplete information and further vagueness in preference structures and decision-making play an important role. The theory of cooperative ellipsoidal games provides a new game theoretical angle and suitable tools for answering this question. In this paper, some solution concepts using ellipsoids, namely the ellipsoidal imputation set, the ellipsoidal dominance core and the ellipsoidal stable sets for cooperative ellipsoidal games, are introduced and studied. The main results contained in the paper are the relations between the ellipsoidal core, the ellipsoidal dominance core and the ellipsoidal stable sets of such a game.