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Choice under Uncertainty with the Best and Worst in Mind: Neo-additive Capacities

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Author Info
Chateauneuf, Alain () (CERMSEM Université Paris I)
Eichberger, Jürgen () (Sonderforschungsbereich 504)
Grant, Simon () (Department of Economics Rice University)

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Abstract

The concept of a non-extreme-outcome-additive capacity (neo-additive capacity ) is introduced. Neo-additive capacities model optimistic and pessimistic attitudes towards uncer-tainty as observed in many experimental studies. Moreover, neo-additive capacities can be applied easily in economic problems, as we demonstrate by examples. This paper provides an axiomatisation of Choquet expected utility with neo-capacities in a framework of purely subjective uncertainty.

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Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 03-10.

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Length: 44 pages
Date of creation: 03 Jun 2003
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Handle: RePEc:xrs:sfbmaa:03-10

Note: We would like to thank Michele Cohen, Peter Hartley, Jean-Yves Jaffray, Mark Machina, Klaus Nehring, Matthew Ryan, Jean-Marc Tallon, and Jean-Christophe Vergnaud for extremely stimulating and helpful discussions. Financial support from the Deutsche Forschungsgemeinschaft, SFB 504, at the University of Mannheim, is gratefully acknowledged.
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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.:
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  2. Sarin, Rakesh & Wakker, Peter P, 1998. "Revealed Likelihood and Knightian Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 16(3), pages 223-50, July-Aug.. [Downloadable!] (restricted)
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  4. Wakker, Peter P, 2001. "Testing and Characterizing Properties of Nonadditive Measures through Violations of the Sure-Thing Principle," Econometrica, Econometric Society, vol. 69(4), pages 1039-59, July.
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  8. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56, pages 279. [Downloadable!] (restricted)
  9. Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-80, November. [Downloadable!] (restricted)
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  13. Kilka, Michael & Weber, Martin, 1998. "What Determines the Shape of the Probability Weighting Function under Uncertainty?," Sonderforschungsbereich 504 Publications 98-11, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
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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. Jürgen Eichberger & David Kelsey & Burkhard C. Schipper, 2005. "Ambiguity and Social Interaction," Discussion Papers 59, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
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  2. Jürgen Eichberger & Ani Guerdjikova, 2008. "Multiple Priors as Similarity Weighted Frequencies," Working Papers 0470, University of Heidelberg, Department of Economics, revised Jul 2008. [Downloadable!]
  3. Eichberger, Jürgen & Kelsey, David, 2008. "Are the Treasures of Game Theory Ambiguous?," Sonderforschungsbereich 504 Publications 08-08, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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  4. Alexander Ludwig & Alexander Zimper, 2006. "Rational expectations and ambiguity: A comment on Abel (2002)," Economics Bulletin, Economics Bulletin, vol. 4(2), pages 1-15. [Downloadable!]
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  5. Dirk Hackbarth & Jianjun Maio, 2007. "The Dynamics of Mergers and Acquisitions in Oligopolistic Industries," Boston University - Department of Economics - Working Papers Series WP2007-017, Boston University - Department of Economics. [Downloadable!]
  6. Fulvio Fontini & Georg Umgiesser & Lucia Vergano, 2008. "The Role of Ambiguity in the Evaluation of the Net Benefits of the MOSE System in the Venice Lagoon," "Marco Fanno" Working Papers 0080, Dipartimento di Scienze Economiche "Marco Fanno". [Downloadable!]
  7. Tigran Melkonyan & Mark Pingle, 2008. "Ambiguity, Pessimism, and Religious Choice," Working Papers 08-002, University of Nevada, Reno, Department of Economics & University of Nevada, Reno , Department of Resource Economics. [Downloadable!]
  8. Burkhard C. Schipper, 2005. "The Evolutionary Stability of Optimism, Pessimism and Complete Ignorance," Bonn Econ Discussion Papers bgse35_2005, University of Bonn, Germany. [Downloadable!]
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  9. Jürgen Eichberger & David Kelsey, 2007. "Ambiguity," Working Papers 0448, University of Heidelberg, Department of Economics, revised Jul 2007. [Downloadable!]
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  10. Ludwig, Alexander & Zimper, Alexander, 2007. "A Parsimonious Model of Subjective Life Expectancy," Sonderforschungsbereich 504 Publications 07-65, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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  11. Eichberger, Jürgen & Guerdjikova, Ani, 2008. "Multiple Priors as Similarity Weighted Frequencies," Sonderforschungsbereich 504 Publications 08-07, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  12. Andre Palma & Moshe Ben-Akiva & David Brownstone & Charles Holt & Thierry Magnac & Daniel McFadden & Peter Moffatt & Nathalie Picard & Kenneth Train & Peter Wakker & Joan Walker, 2008. "Risk, uncertainty and discrete choice models," Marketing Letters, Springer, vol. 19(3), pages 269-285, December. [Downloadable!] (restricted)
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    • André de Palma & Moshe Ben-Akiva & David Brownstone & Charles Holt & Thierry Magnac & Daniel McFadden & Peter Moffatt & Nathalie Picard & Kenneth Train & Peter Wakker & Joan Walker, 2008. "Risk, Uncertainty and Discrete Choice Models," THEMA Working Papers 2008-02, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
  13. Schmidt, Ulrich & Zimper, Alexander, 2003. "Security And Potential Level Preferences With," Sonderforschungsbereich 504 Publications 03-29, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  14. Ludwig, Alexander & Zimper, Alexander, 2007. "Attitude polarization," Sonderforschungsbereich 504 Publications 07-66, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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  15. Mohammed Abdellaoui & Olivier l’Haridon & Horst Zank, 2009. "Separating Curvature and Elevation: A Parametric Weighting Function," The School of Economics Discussion Paper Series 0901, Economics, The University of Manchester. [Downloadable!]
  16. Jürgen Eichberger & Willy Spanjers, 2007. "Liquidity and Ambiguity: Banks or Asset Markets?," Working Papers 0444, University of Heidelberg, Department of Economics, revised Jun 2007. [Downloadable!]
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