We provide new characterizations of the equal surplus division value and the equal division value as well as of the class of their convex mixtures. This way, the difference between the Shapley value, the equal division value, and the equal surplus division value is pinpointed to one axiom....

In the absence of externalities, marginality is equivalent to an independence property that rests on Harsanyi‘s dividends. These dividends identify the surplus inherent to each coalition. Independence states that a player‘s payoff stays the same if only dividends of coalitions to which this...

The principle of weak monotonicity for cooperative games states that if a game changes so that the worth of the grand coalition and some player's marginal contribution to all coalitions increase or stay the same, then this player's payoff should not decrease. We investigate the class of values...

In the absence of externalities, marginality is equivalent to an independence property that rests on Harsanyi‘s dividends. These dividends identify the surplus inherent to each coalition. Independence states that a player‘s payoff stays the same if only dividends of coalitions to which this...

The Coleman Power of the Collectivity to Act (CPCA) is a popular statistic that reflects the ability of a committee to pass a proposal. Applying the Shapley value to this measure, we derive a new power index that indicates each voter's contribution to the CPCA. This index is characterized by...