van den Brink, René Levínský, René Zelen, Miroslav
Year of Publication:
Jena economic research papers 2007,073
The Shapley value of a cooperative transferable utility game distributes the dividend of each coalition in the game equally among its members. Given exogenous weights for all players, the corresponding weighted Shapley value distributes the dividends proportionally to their weights. In this contribution we de¯ne the balanced solution which assigns weights to players such that the corresponding weighted Shapley value of each player is equal to her weight. We prove its existence for all monotone transferable utility games, discuss other properties of this solution, and deal with its characterization through a reduced game consistency.
Balanced solution Proportionality Reduced game consistency Weight- ed Shapley value