A concise yet mathematically complete treatment of modern utility theories that covers nonprobabilistic preference theory, the von Neumann-Morgenstern expected-utility theory and its extensions, and the joint axiomatization of utility and subjective probability.Expand

A Condorcet social choice function elects the candidate that beats every other candidate under simple majority when such a candidate exists. Various extensions of Condorcet’s simple majority… Expand

A previous paper discusses the notion of additive utilities in the expected-utility context when the set of consequences X can be written as the product of n other sets: X = X1 × X2 × ⋯ × Xn.Expand

Abstract An interval order is a binary relation ≺ on a set X that is irreflexive and satisfies the condition: if x ≺ y and z ≺ w then x ≺ w or z ≺ y . An interval order is a special kind of strict… Expand

Thirty empirically assessed utility functions on changes in wealth or return on investment were examined for general features and susceptability to fits by linear, power, and exponential functions.… Expand