On Prize Games
We consider the class of hyperplane coalitional games (H-games):
the feasible set of each coalition is a half-space, with a slope that may vary
from one coalition to another. H-games have turned out in various approaches
to the value of general non-transferable utility (NTU) games. In this paper
we introduce a simple model -- prize games -- that
generates the hyperplane games.
Next, we provide an axiomatization for the Maschler & Owen (1989)
consistent value of H-games.