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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.:
  1. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo & Siniscalchi, Marciano, 2001. "A Subjective Spin on Roulette Wheels," Working Papers 1127, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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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)
  3. 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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  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.
  5. Nakamura, Yutaka, 1990. "Subjective expected utility with non-additive probabilities on finite state spaces," Journal of Economic Theory, Elsevier, vol. 51(2), pages 346-366, August. [Downloadable!] (restricted)
  6. Eichberger, Jurgen & Kelsey, David, 2000. "Non-Additive Beliefs and Strategic Equilibria," Games and Economic Behavior, Elsevier, vol. 30(2), pages 183-215, February. [Downloadable!] (restricted)
  7. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2002. "Ambiguity from the Differential Viewpoint," Working Papers 1130, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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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)
  10. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March. [Downloadable!] (restricted)
  11. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May. [Downloadable!] (restricted)
  12. 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.
  13. Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, vol. 60, pages 151. [Downloadable!] (restricted)
  14. Massimo Marinacci & Paolo Ghirardato, 2001. "Risk, ambiguity, and the separation of utility and beliefs," ICER Working Papers - Applied Mathematics Series 21-2001, ICER - International Centre for Economic Research. [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. 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. 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!]
  3. 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!]
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  4. Simon Grant & John Quiggin, 2005. "Learning and Discovery," Risk & Uncertainty Working Papers WP7R05, Risk and Sustainable Management Group, University of Queensland. [Downloadable!]
  5. Fulvio Fontini & Georg Umgiesser & Lucia Vergano, 2008. "An application of the Precautionary Principle under ambiguity: the impact of the MOSE system on harbour activity in the Venice," "Marco Fanno" Working Papers 0080, Dipartimento di Scienze Economiche "Marco Fanno". [Downloadable!]
  6. Burkhard C. Schipper, 2005. "The Evolutionary Stability of Optimism, Pessimism and Complete Ignorance," Bonn Econ Discussion Papers bgse35_2005, University of Bonn, Germany. [Downloadable!]
    Other versions:
  7. Jürgen Eichberger & David Kelsey, 2007. "Ambiguity," Working Papers 0448, University of Heidelberg, Department of Economics, revised Jul 2007. [Downloadable!]
  8. 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!]
  9. 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!]
  10. 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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