On the equal surplus sharing interval solutions and an application

PALANCI O., EKİCİ M., ALPARSLAN GÖK S. Z.

Journal of Dynamics & Games, cilt.8, sa.2, ss.139-150, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3934/jdg.2020023
  • Dergi Adı: Journal of Dynamics & Games
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.139-150
  • Anahtar Kelimeler: Cooperative games, interval uncertainty, equal surplus sharing solutions, Shapley value, transportation situations
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

In this paper, we focus on the equal surplus sharing interval solutions for cooperative games, where the set of players are finite and the coalition values are interval numbers. We consider the properties of a class of equal surplus sharing interval solutions consisting of all convex combinations of them. Moreover, an application based on transportation interval situations is given. Finally, we propose three solution concepts, namely the interval Shapley value, ICIS-value and IENSC-value, for this application and these solution concepts are compared.