"The best book available for non-mathematicians." — Contemporary Psychology. Superb nontechnical introduction to game theory and related disciplines, primarily as applied to the social sciences. Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, much more. Appendixes. Bibliography. Graphs and figures.

Contemporary philosophers interested in value theory appear to be largely concerned with questions of the following sort:What is value?What is the meaning of the word ‘good’?Does the attribution of value to an object have a cognitive, or merely an emotive, significance?The first question is metaphysical; to ask it is analogous to asking in physics:What is matter?What is electricity?The others are generally treated as semantical questions; to ask them is analogous to asking in statistics:What is the meaning of the word ‘probable’?Does (...) an attribution of probability express an objective fact, or merely a subjective attitude? (shrink)

This paper reconstructs and evaluates the representation theorem presented by Ramsey in his essay 'Truth and Probability', showing how its proof depends on a novel application of Hölder's theory of measurement. I argue that it must be understood as a solution to the problem of measuring partial belief, a solution that in many ways remains unsurpassed. Finally I show that the method it employs may be interpreted in such a way as to avoid a well known objection to it due (...) to Richard Jeffrey. (shrink)

This book-length chapter draws technical and philosophical connections between utility theory and social ethics. After the introductory section 1, section 2 proposes some philosophical and historical clarifications on the utility concept.; this includes a discussion of welfare and welfarism. Section 3 is brief summary of technical aspects of utility theory. Section 4 introduces the aggregative setting of social choice theory when interpersonal comparisons of utility are allowed, and using this setting, contrasts the derivation of utilitarianism with that of the Rawlsian (...) leximin; a subsection discusses variable populations. Section 5 still uses an aggregative setting, but with choice-theoretic constraints instead of assumptions on interpersonal comparisons of utility. This section centres on Harsanyi's Aggregation Theorem and its extension to subjective uncertainty by Mongin and others, ,and it devotes a philosophical discussion to both. Section 6 moves to the non-aggregative setting of the original position, and begins by contrasting Harsanyi's use of this setting with Rawls's. It then moves to some more later conceptions of fairness and equality. (shrink)

The paper reconstructs the connections between the evolution of Patrick Suppes’ measurement theory from 1951 to 1958 and the research in utility analysis he conducted between 1953 and 1957 within the Stanford Value Theory Project. In particular, the paper shows that Suppes’ superseding of the classical understanding of measurement, his endorsement of the representational view of measurement, and his conceiving of an axiomatic version of the latter were prompted by his research in utility analysis.

This paper presents an overview on the concept of cardinal utility in its relations with the literature since the beginning of the XVIIIth century (Part I); an estimate of the cardinal utility function for its negative values, thus completing the estimate of this function for its positive values given in my 1984 Venice paper (Part II); and finally different applications to the theory of choices in the presence of risk and to the wealth transfer and tax questions (Part III).