Gross substitute is a property that applies to the demand for a set of indivisible goods. The great interest in this property lies in the fact that it is a simple property that guarantees the existence of a competitive equilibrium. In this Note, we will demonstrate how this property translates...

We study the property of additivity in bankruptcy problems and in allocation problems. In bankruptcy problems we use this property to characterize the Talmudic rule proposed by Rabbi Ibn Ezra. Moreover we generalize this rule to every bankruptcy problem. Again, using additivity we characterize...

In this note we show that the mathematical tools of cooperative game theory allow a successful approach to the statistical problem of estimating a density function. Specifically, any random sample of an absolutely continuous random variable determines a transferable utility game, the Shapley...

A class of cooperative TU-games arising from shortest path problems is introduced and analyzed. Some conditions under which a shortest path game is balanced are obtained. Also an axiomatic characterization of the Shapley value for this class of games is provided. Copyright Springer-Verlag Berlin...

The effects of tariff wars on welfare are analysed for the case of trade between two countries with outputs of the traded good given exogenously. Assuming mild conditions, it is shown that if there are non-zero tariffs for which welfare-maximizing equilibrium holds, then free trade is not...