Cooperative games under bubbly uncertainty

PALANCI O., Gok S. Z. A. , Weber G. -.

MATHEMATICAL METHODS OF OPERATIONS RESEARCH, vol.80, no.2, pp.129-137, 2014 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 80 Issue: 2
  • Publication Date: 2014
  • Doi Number: 10.1007/s00186-014-0472-y
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.129-137


The allocation problem of rewards/costs is a basic question for players, namely, individuals and companies that are planning cooperation under uncertainty. The involvement of uncertainty in cooperative game theory is motivated by the real world in which noise in observation and experimental design, incomplete information and vagueness in preference structures and decision-making play an important role. In this study, a new class of cooperative games, namely, the cooperative bubbly games, where the worth of each coalition is a bubble instead of a real number, is presented. Furthermore, a new solution concept, the bubbly core, is defined. Finally, the properties and the conditions for the non-emptiness of the bubbly core are given. The paper ends with a conclusion and an outlook to related and future studies.