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"Making Book against Oneself," the Independence Axiom, and Nonlinear Utility Theory

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Author Info
Green, Jerry
Abstract

An individual with known preferences over lotteries can be led to accept random wealth distributions different from his initi al endowment by a sequential process in which some uncertainty is res olved and he is offered a new lottery in place of the remaining uncer tainty. This paper examines the restrictions that can be placed on an individual's preferences by axioms that stipulate that such a proces s not be able to generate a new wealth distribution that is prima fac ie inferior to the original. The relationship of these axioms to the independence axiom of von Neumann and Morgenstern and to the quasicon vexity of preferences in the wealth distribution are explored. Copyright 1987, the President and Fellows of Harvard College and the Massachusetts Institute of Technology.

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Article provided by MIT Press in its journal Quarterly Journal of Economics.

Volume (Year): 102 (1987)
Issue (Month): 4 (November)
Pages: 785-96
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Handle: RePEc:tpr:qjecon:v:102:y:1987:i:4:p:785-96

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  1. David Laibson & Leeat Yariv, 2007. "Safety in Markets: An Impossibility Theorem for Dutch Books," Levine's Bibliography 122247000000001746, UCLA Department of Economics. [Downloadable!]
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  2. Kim C. Border & Uzi Segal, 2001. "Coherent Odds and Subjective Probability," Boston College Working Papers in Economics 513, Boston College Department of Economics. [Downloadable!]
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  3. Eichberger, Jürgen & Kelsey, David & Schipper, Burkhard, 2003. "Ambiguity and Social Interaction," Sonderforschungsbereich 504 Publications 03-30, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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  4. Grant, Simon & Eichberger, Jürgen & Kelsey, David, 2004. "CEU Preferences and Dynamic Consistency," Sonderforschungsbereich 504 Publications 04-47, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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  5. Halevy, Yoram, 2004. "Strotz meets Allais: Diminishing Impatience and the Certainty Effect," Micro Theory Working Papers halevy-04-10-29-10-08-43, Microeconomics.ca Website, revised 19 Jun 2008. [Downloadable!]
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