In a framework of preferences over lotteries, we show that an axiom system consisting of weakned versions of Arrow’s axioms has a unique solution. “Relative Utilitarianism” consists of first normalizing individual von Neumann-Morgenstern utilities between 0 and 1 and then summing them.

The ([ epsilon ] -) perfect correlated equilibria (P.C.E.) are those induced by a ([ epsilon ] -) perfect equilibrium of some correlation device. The "revelation principle" fails for this concept - the direct mechanism may not yield a perfect equilibrium. The approximately perfect correlated...

In a framework of preferences over lotteries, we show that an axiom system consisting of weakened versions of Arrow's axioms has a unique solution. "Relative Utilitarianism" consists of first normalising individual von Neumann-Morgenstern utilities between 0 and 1 and then summing them. This...