A Note on Shapley Value and Fair Gain-sharing Value

This note considers two existing cooperative solutions that reflect the contributions of the players – the Shapley value and the fair gain-sharing value. Given the asymmetry of the players, a crucial requirement for an acceptable cooperation solution is that it has to reflect the contributions of the players. Five aspects of these two solutions are analyzed. They are: the overage of types of games, the computation time, the avoidance of arbitrary equal sharing, the contributions measured, and the underlying optimization process.