Coalitional games: Monotonicity and core

We characterize a monotonic core solution defined on the class of veto balanced games. We also discuss what restricted versions of monotonicity are possible when selecting core allocations. We introduce a family of monotonic core solutions for veto balanced games and we show that, in general, the per capita nucleolus is not monotonic.

► We introduce monotonicity properties for core selectors. ► We characterize a monotonic core solution defined for veto balanced TU games. ► We introduce a family of monotonic core solutions for veto balanced TU games. ► We prove that, in general, the per capita nucleolus is not monotonic.