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Choice under complete uncertainty: axiomatic characterizations of some decision rules
Authors:Walter Bossert   Prasanta K. Pattanaik  Yongsheng Xu
Affiliation:(1) Department of Economics, University of Nottingham, Nottingham NG7 2RD, UK (e-mail: lezwb@unix.ccc.nottingham.ac.uk) , GB;(2) Department of Economics, University of California, Riverside, CA 92521, USA (e-mail: ppat@ucrac1.ucr.edu) , US;(3) Department of Economics, Andrew Young School of Economics, Georgia State University,Atlanta, GA 30303, USA (e-mail: yxu3@gsu.edu) , US;(4) Department of Economics, University of Nottingham, Nottingham NG7 2RD, UK , GB
Abstract:Summary. We provide characterizations of four new rules for individual decision-making under complete uncertainty. They are what we call the min-max rule, the max-min rule, the lexicographic min-max rule and the lexicographic max-min rule. These rules provide orderings of the sets of possible outcomes associated with uncertain prospects. They provide significant alternatives to commonly-used rules that focus on worst outcomes or best outcomes only, and lexicographic versions of those rules. Received: August 20, 1998; revised version: November 3, 1999
Keywords:and Phrases:Complete uncertainty   Nonprobabilistic decision rules.
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