On the equal surplus sharing interval solutions and an application

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

Journal of Dynamics & Games, vol.8, no.2, pp.139-150, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.3934/jdg.2020023
  • Journal Name: Journal of Dynamics & Games
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.139-150
  • Keywords: Cooperative games, interval uncertainty, equal surplus sharing solutions, Shapley value, transportation situations
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

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.