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Ambiguity and social interaction

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Author Info
Jürgen Eichberger
David Kelsey
Burkhard C. Schipper

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Abstract

A decision-maker is said to have an ambiguous belief if it is not precise enough to be represented by a single probability distribution. The pervasive assumption in game theoretic models in economics is that players' beliefs are unambiguous. This paper argues, drawing on examples from economics and politics, that it may be illuminating, in instances, to model players as having ambiguous beliefs. Optimistic and pessimistic responses to ambiguity are formally modelled. We show that pessimism has the effect of increasing (decreasing) equilibrium prices under Cournot (Bertrand) competition. In addition the effects of ambiguity on peace-making are examined. It is shown that ambiguity may select equilibria in coordination games with multiple equilibria. Some comparative statics results are derived for the impact of ambiguity in games with strategic complements. Copyright 2009 , Oxford University Press.

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File URL: http://hdl.handle.net/10.1093/oep/gpn030
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Publisher Info
Article provided by Oxford University Press in its journal Oxford Economic Papers.

Volume (Year): 61 (2009)
Issue (Month): 2 (April)
Pages: 355-379
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Handle: RePEc:oup:oxecpp:v:61:y:2009:i:2:p:355-379

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References listed on IDEAS
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. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401.
    Other versions:
  2. Chateauneuf, Alain & Eichberger, Jürgen & Grant, Simon, 2003. "Choice under Uncertainty with the Best and Worst in Mind: Neo-additive Capacities," Sonderforschungsbereich 504 Publications 03-10, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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  3. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November. [Downloadable!] (restricted)
  4. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April. [Downloadable!] (restricted)
  5. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  6. 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)
  7. 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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  9. 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)
  10. Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-80, November. [Downloadable!] (restricted)
  11. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February. [Downloadable!] (restricted)
  12. Vickers, John, 1985. "Delegation and the Theory of the Firm," Economic Journal, Royal Economic Society, vol. 95(380a), pages 138-47, Supplemen. [Downloadable!] (restricted)
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  15. Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February. [Downloadable!] (restricted)
  16. Jürgen Eichberger & David Kelsey & Burkhard Schipper, 2008. "Granny Versus Game Theorist: Ambiguity in Experimental Games," Theory and Decision, Springer, vol. 64(2), pages 333-362, March. [Downloadable!] (restricted)
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  17. Kelsey, David, 1994. "Maxmin Expected Utility and Weight of Evidence," Oxford Economic Papers, Oxford University Press, vol. 46(3), pages 425-44, July. [Downloadable!] (restricted)
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  18. Epstein, Larry G, 1999. "A Definition of Uncertainty Aversion," Review of Economic Studies, Blackwell Publishing, vol. 66(3), pages 579-608, July. [Downloadable!] (restricted)
  19. Sarin, Rakesh K & Wakker, Peter, 1992. "A Simple Axiomatization of Nonadditive Expected Utility," Econometrica, Econometric Society, vol. 60(6), pages 1255-72, November. [Downloadable!] (restricted)
  20. Lo, Kin Chung, 1996. "Equilibrium in Beliefs under Uncertainty," Journal of Economic Theory, Elsevier, vol. 71(2), pages 443-484, November. [Downloadable!] (restricted)
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  21. 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.
  22. Fershtman, Chaim & Judd, Kenneth L, 1987. "Equilibrium Incentives in Oligopoly," American Economic Review, American Economic Association, vol. 77(5), pages 927-40, December. [Downloadable!] (restricted)
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  23. Huck, Steffen & Normann, Hans-Theo & Oechssler, Jorg, 1999. "Learning in Cournot Oligopoly--An Experiment," Economic Journal, Royal Economic Society, vol. 109(454), pages C80-95, March. [Downloadable!] (restricted)
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  24. Truman F. Bewley, 1986. "Knightian Decision Theory: Part 1," Cowles Foundation Discussion Papers 807, Cowles Foundation, Yale University. [Downloadable!]
  25. Marinacci, Massimo, 2000. "Ambiguous Games," Games and Economic Behavior, Elsevier, vol. 31(2), pages 191-219, May. [Downloadable!] (restricted)
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Cited by:
(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. 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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  2. Jürgen Eichberger & David Kelsey, 2008. "Are the Treasures of Game Theory Ambiguous?," Working Papers 0469, University of Heidelberg, Department of Economics, revised Jul 2008. [Downloadable!]
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  3. Felipe Zurita, 2004. "Beyond Earthquakes: The New Directions of Expected Utility Theory," Documentos de Trabajo 260, Instituto de Economía. Pontificia Universidad Católica de Chile.. [Downloadable!]
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  4. Sandra Ludwig & Julia Nafziger, 2007. "Do You Know That I Am Biased? An Experiment," Bonn Econ Discussion Papers bgse11_2007, University of Bonn, Germany. [Downloadable!]
  5. Eichberger, Jürgen & Kelsey, David, 2003. "Sequential Two-Player Games with Ambiguity," Sonderforschungsbereich 504 Publications 03-27, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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