The Eisenberg and Noe (2001) model of the financial system is generalized to the case where default is solved by means of a bankruptcy rule. For regular financial networks a unique vector of clearing prices exists if only the bankruptcy rule is strongly monotonic. This shows uniqueness of the...

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 problem of financing a set of public goods (facilities, projects) by private contributions is studied. The corresponding cooperative game, the realization game, is shown to be convex. For the noncooperative setting we study a realization scheme that induces a strategic game. This...

The constrained egalitarian solution of Dutta and Ray (1989) for TU-games is extended to asymmetric cases, using the notion of weight systems as in Kalai and Samet (1987, 1988). This weighted constrained egalitarian solution is based on the weighted Lorenz-criterion as an inequality measure. It...

A new concept of consistency for cost sharing solutions is discussed, analyzed, and related to the homonymous property within the rationing context. The class of additive and consistent mechanisms is isomorphic to the class of consistent and monotonic rationing methods. Consequently average and...

We focus on the Moulin-Shenker cost sharing rule as a natural extension of the serial rule to multi-service facilities where services are personalized. We show that it is the unique regular rule that is compatible with scale invariance and self consistency

The constrained egalitarian solution of Dutta and Ray (1989) for TU-games is extended to asymmetric cases, using the notion of weight systems as in Kalai and Samet (1987, 1988). This weighted constrained egalitarian solution is based on the weighted Lorenz-criterion as an inequality measure. It...

The focus is on the directional serial rule as a natural extension of the Moulin-Shenker cost sharing rule (Sprumont (1998)). We show that it is the unique regular rule that is compatible with the radial serial principle. In particular, this shows the incompatibility of the serial principle with...