Decomposition of the goodness of fit to (groups of) regressor variables can be a useful diagnostic tool to quickly assess “relative importanceâ€. Owen and Shapley values, two closely related solutional concepts in cooperative game theory, provide unique solutions to the decomposition...

We study values for transferable utility games enriched by a communication graph (CO-games) where the graph does not necessarily a¤ect the productivity but can in?uence the way the players distribute the worth generated by the grand coalition. Thus, we can envisage values that are efficient...

We study values for transferable utility games enriched by a communication graph. The most well-known such values are component-efficient and characterized by some link-deletion property. We study efficient extensions of such values: for a given component-efficient value, we look for a value...

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...

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...

We provide an axiomatization-based justification for applying the Owen value to decompose R2 in OLS models if prior knowledge can be used to form groups of regressor variables. The assumptions made by the axioms are not only plausible with respect to the variables but also clarify the meaning of...

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....