S.Zeynep Alparslan-Gök
METU, Institute of Applied Mathematics
Cooperation Under Interval Uncertainty
Interval uncertainty plays an important role in real world applications. This work gives a new point of view since instead of classical theory of cooperative games, the cases where worths of the coalitions are not precisely determined but are taken as closed intervals are considered. The classical theory of two-person cooperative games is extended to two-person cooperative games with interval uncertainty. Geometrical descriptions are given. The core, balancedness, superadditivity and related topics are studied. Solutions are introduced and characterizations are given. Some simple classical economical situations with an interval character are considered.