Independence axioms similar to those proposed for multiattribute von Neumann--Morgenstern linear utility theory are examined in the context of new nonlinear utility theories developed by Chew and MacCrimmon, and Fishburn. These new theories weaken the independence axiom of von Neumann and...

Proceeding from a unifying framework, this paper reviews recent developments in lexicographic orders, preferences, utilities, probabilities and decision rules. Several new results are included.

This paper is the second of a two-paper study of fairness issues for decisions that affect the benefits received and the risks encountered by a population. The study examines fairness for individuals and for homogeneous groups within the population. It considers fairness both for population...

The first major experimental comparison of approval voting with regular plurality voting occurred in the 1985 annual election of The Institute of Management Sciences (TIMS). In approval voting a person votes for (approves of) as many candidates as desired, the winner being the candidate with the...

This paper is the first of a two-paper study of fairness issues for decisions that affect the benefits received and the risks encountered by a population. The study examines fairness for individuals and for homogeneous groups within the population. It considers fairness both for population...

This paper seeks to get behind specific contextual referents of risky situations to consider characteristics of risk that apply to many situations. It is guided by previous theoretical and empirical research in perceived risk, and focuses on the joint effects on risk of loss probability and the...

This paper offers a personal perspective on the development of decision theory and related subjects during the past half century. It first reviews six milestones in the foundations of decision analysis that are associated with Frank P. Ramsey, John von Neumann and Oskar Morgenstern, Leonard J....

A relation <^L on a set of real vectors a, b, ... is a lexicographic order when a <^Lb if and only if a \ne b and for every j such that b_j < a_j there is an i < j such that a_i < b_i. A simple and direct derivation is given for a multidimensional utility function whose lexicographically-ordered expected utility vectors...</b<sub></j></a<sub></<sup></<sup>

Traditional definitions of stochastic dominance assume that the decision agent's preference-or-indifference relation on outcomes of risky decisions is transitive. This paper proposes a stochastic dominance relation for the comparison of risky decisions that is applicable to any complete and...

This paper is an update of a paper that five of us published in 1992. The areas of multiple criteria decision making (MCDM) and multiattribute utility theory (MAUT) continue to be active areas of management science research and application. This paper extends the history of these areas and...