During the development of modern probability theory in the 17th cen tury it was commonly held that the attractiveness of a gamble offering the payoffs :1:17 *** ,:l: with probabilities Pl, . . . , Pn is given by its expected n value L:~ :l:iPi. Accordingly, the decision problem of choosing among different such gambles - which will be called prospects or lotteries in the sequel-was thought to be solved by maximizing the corresponding expected values. The famous St. Petersburg paradox posed by Nicholas Bernoulli in 1728, however, conclusively demonstrated the fact that individuals l consider more than just the expected value. The resolution of the St. Petersburg paradox was proposed independently by Gabriel Cramer and Nicholas's cousin Daniel Bernoulli [BERNOULLI 1738/1954]. Their argument was that in a gamble with payoffs :l:i the decisive factors are not the payoffs themselves but their subjective values u( :l:i)' According to this argument gambles are evaluated on the basis of the expression L:~ U(Xi)pi. This hypothesis -with a somewhat different interpretation of the function u - has been given a solid axiomatic foundation in 1944 by v. Neumann and Morgenstern and is now known as the expected utility hypothesis. The resulting model has served for a long time as the preeminent theory of choice under risk, especially in its economic applications.

The Handbook of Rational and Social Choice provides an overview of issues arising in work on the foundations of decision theory and social choice over the past three decades. Drawing on work by economic theorists mainly, but also with contributions from political science, philosophy and psychology, the collection shows how the related areas of decision theory and social choice have developed in their applications and moved well beyond the basic models of expected utility and utilitarian approaches to welfare economics.
Containing twenty-three contributions, in many cases by leading figures in their fields, the handbook shows how the normative foundations of economics have changed dramatically as more general and explicit models of utility and group choice have been developed. This is perhaps the first time these developments have been brought together in a manner that seeks to identify and make accessible the recent themes and developments that have been of particular interest to researchers in recent years. The collection will be of particular value to researchers in economics with interests in utility or welfare but it will also be of interest to any social scientist or philosopher interested in theories of rationality or group decision-making.