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

A Partial Order for Strictly Positive Coalitional Games and a Link from Risk Aversion to Cooperation