Subjective expected lexicographic utility:Axioms and assessment

作者: Peter C. Fishburn , Irving H. LaValle

DOI: 10.1023/A:1018911830478

关键词: Mathematical economicsLotteryTwo-moment decision modelOptimal decisionExpected utility hypothesisVon Neumann–Morgenstern utility theoremDecision theoryMathematicsSubjective expected utilityMathematical optimizationExpected value of including uncertainty

摘要: The theory of subjective expected lexicographic utility brings together two classicaldevelopments in theory. first is Hausner's lexico-graphicutility decision under risk. second a lottery-based subjectiveexpected uncertainty that was axiomatized by Anscombe andAumann. Our synthesis the produces representations preference underuncertainty which utilities are finite-dimensional real vectors ordered lexicographicallyand probabilities matrices. Axiomatizations described for finite and infinite sets states. Procedures assessingvector matrix outlined.

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