Characterizations of the random order values by Harsanyi payoff vectors
The paper under review deals with one of the solution concepts of cooperative games with transferable utility. The Harsanyi solution of such games is investigated, namely the Harsanyi payoff vector obtained by a distribution of Harsanyi dividents of all coalitions among the players. The attention is focused on the concept of random order values being the convex combinations of the marginal contribution vectors from the Harsanyi set. Two characterizations of the set of all sharing systems of the dividents whose associated Harsanyi payoffs are random order values. The first characterization deals with extreme points of the set of sharing systems, meanwhile the second one shows that a Harsanyi payoff vector is a random order value iff the sharing system is strongly monotonic.
scientific article; zbMATH DE number 5081912