In a framework of preferences over lotteries, the authors show that an axiom system consisting of weakened versions of Arrow's axioms has a unique solution, 'relative utilitarianism.' This consists of first normalizing individual von Neumann-Morgenstern utilities between zero and one and then...

Stochastic games model repeated play with symmetric information. We analyze their value in the zero-sum case, and approach the study of their equilibria in the non-zero-sum case.

Selected applications of the NTU Shapley value to settings other than that of general equilibrium in perfect competition. Three models are considered: Taxation and Redistribution, Public Goods, and Fixed Prices. In each case, the value leads to significant conceptual insights which, while...

We prove here the existence of a value (of norm 1) on the spaces 'NA and even 'AN, the closure in the variation distance of the linear space spanned by all games f o \mu, where \mu is a non-atomic, non-negative finitely additive measure of mass 1 and f a real-valued function on [0, 1] which...