  We deal with coalitional games possessing strictly positive values.
Individually rational allocations of such a game has clear fractional
interpretations. Many concepts, including the long-existing core and other
stability notions more recently proposed by Yang \cite{Y22}, can all be re-cast
in this fractional mode. The latter allows a certain ranking between games,
which we deem as in the sense of ``centripetality'', to imply a clearly
describable shift in the games' stable solutions. %These trends would be
preserved after the imposition of the restriction that fractions be positive as
well. When coalitions' values are built on both random outcomes and a common
positively homogeneous reward function characterizing players' enjoyments from
their shares, the above link could help explain why aversion to risk often
promotes cooperation.
