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A No-Trade Theorem under Knightian Uncertainty with General Preferences

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Chenghu Ma
Abstract

This paper derives a no-trade theorem under Knightian uncertainty, which generalizes the theorem of Milgrom and Stokey (1982, Journal of Economic Theory 26, 17) by allowing general preference relations. It is shown that the no-trade theorem holds true as long as agents' preferences are dynamically consistent in the sense of Machina and Schmeidler (1991, Econometrica 60, 745), and satisfies the so-called piece-wise monotonicity axiom. A preference satisfying the piece-wise monotonicity axiom does not necessarily imply the additive utility representation, nor is necessarily based on beliefs. Copyright Kluwer Academic Publishers 2001

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File URL: http://hdl.handle.net/10.1023/A:1015550925961
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Article provided by Springer in its journal Theory and Decision.

Volume (Year): 51 (2001)
Issue (Month): 2 (December)
Pages: 173-181
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Handle: RePEc:kap:theord:v:51:y:2001:i:2:p:173-181

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Keywords: Uncertainty; Piecewise monotonicity; Generalized expected utility;

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  1. Epstein Larry G. & Le Breton Michel, 1993. "Dynamically Consistent Beliefs Must Be Bayesian," Journal of Economic Theory, Elsevier, vol. 61(1), pages 1-22, October. [Downloadable!] (restricted)
  2. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-80, July. [Downloadable!] (restricted)
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  3. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May. [Downloadable!] (restricted)
  4. Geanakoplos, John, 1994. "Common knowledge," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 40, pages 1437-1496 Elsevier. [Downloadable!] (restricted)
  5. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-819, November. [Downloadable!] (restricted)
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  6. Ghirardato, Paolo, 1996. "Coping With Ignorance: Unforeseen Contingencies and Non-Additive Uncertainty," Working Papers 945, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Atsushi Kajii & Takashi Ui, 2007. "Interim Efficient Allocations under Uncertainty," KIER Working Papers 642, Kyoto University, Institute of Economic Research. [Downloadable!]
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