We introduce the prediction value (PV) as a measure of players' informational importance in probabilistic TU games. The latter combine a standard TU game and a probability distribution over the set of coalitions. Player i's prediction value equals the difference between the conditional...

The Shapley value is commonly illustrated by roll call votes in which players support or reject a proposal in sequence. If all sequences are equiprobable, a voter's Shapley value can be interpreted as the probability of being pivotal, i.e., to bring about the required majority or to make this...

Anti-trust infringers are liable jointly and severally, i.e., any offender may be sued and forced to compensate a victim on behalf of all. EU law then grants the singled-out firm a right to internal redress: all infringers are obliged to contribute in proportion to their relative responsibility...