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Subjective Probability and Expected Utility without Additivity
An act maps states of nature to outcomes: deterministic outcomes, as well as random outcomes, are included. Two acts f and g are comonotonic, by definition, if it never happens that f(s) > f(t) and
Integral representation without additivity
Let I be a norm-continuous functional on the space B of bounded Y-measurable real valued functions on a set S, where E is an algebra of subsets of S. Define a set function v on E by: v(E) equals the
The Nucleolus of a Characteristic Function Game
Abstract : In RM 23, a proof was given that the nucleolus is continuous as a function of the characteristic function. This proof is not correct; the author, at least, does not know how to complete
Updating Ambiguous Beliefs
The Bayesian approach to decision making under uncertainty prescribes that a decision maker have a unique prior probability and a utility function such that decisions are made so as to maximize the
A More Robust Definition of Subjective Probability
Although their goal is to separate a decision maker's underlying beliefs (their subjective probabilities of events) from their preferences (their attitudes toward risk), classic choice-theoretic
Case-Based Decision Theory
This paper suggests that decision-making under uncertainty is, at least partly, case-based. We propose a model in which cases are primitive, and provide a simple axiomatization of a decision rule
Equilibrium points of nonatomic games
The Nash theorem on the existence of equilibrium points inTV-person non-cooperative games in normal form is generalized to the case when there is a continuum of players endowed with a nonatomic
A theory of case-based decisions
The authors describe the general theory and its relationship to planning, repeated choice problems, inductive inference, and learning, and compare it to expected utility theory as well as to rule-based systems.