Ambiguity and social interaction
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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Volume (Year): 61 (2009)
Issue (Month): 2 (April)
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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.:
- 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.
- Burkhard C. Schipper & Juergen Eichberger & David Kelsey, 2006. "Granny versus Game Theorist: Ambiguity in Experimental Games," Working Papers 627, University of California, Davis, Department of Economics.
- 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.
- Dow James & Werlang Sergio Ribeiro Da Costa, 1994.
"Nash Equilibrium under Knightian Uncertainty: Breaking Down Backward Induction,"
Journal of Economic Theory,
Elsevier, vol. 64(2), pages 305-324, December.
- Dow, James & Werlang, Sérgio Ribeiro da Costa, 1992. "Nash equilibrium under knightian uncertainty: breaking-down backward induction," Economics Working Papers (Ensaios Economicos da EPGE) 186, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- 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.
- Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
- Chateauneuf, Alain & Eichberger, Jürgen & Grant, Simon, 2003. "Choice under uncertainty with the best and worst in mind : neo-additive capacities," Papers 03-10, Sonderforschungsbreich 504.
- Grant, Simon & Chateauneuf, A. & Eichberger, J., 2002. "Choice under Uncertainty with the Best and Worst in Mind: Neo-additive Capacities," Working Papers 2002-10, Rice University, Department of Economics.
- Alain Chateauneuf & Jürgen Eichberger & Simon Grant, 2007. "Choice under uncertainty with the best and worst in mind: neo-additive capacities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00271279, HAL.
- Sarin, Rakesh K & Wakker, Peter, 1992. "A Simple Axiomatization of Nonadditive Expected Utility," Econometrica, Econometric Society, vol. 60(6), pages 1255-72, November.
- Itzhak Gilboa & David Schmeidler, 1989.
"Maxmin Expected Utility with Non-Unique Prior,"
- Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, Oxford University Press, vol. 75(4), pages 643-669.
- Kin Chung Lo, 1995.
"Equilibrium in Beliefs Under Uncertainty,"
ecpap-95-02, University of Toronto, Department of Economics.
- Itzhak Gilboa, 1987.
"Expected Utility with Purely Subjective Non-Additive Probabilities,"
- Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
- Green, Jerry, 1987. ""Making book against oneself," the Independence Axiom, and Nonlinear Utility Theory," Scholarly Articles 3203640, Harvard University Department of Economics.
- Steffen Huck & Hans-Theo Normann & Joerg Oechssler, 1997.
"Learning in Cournot Oligopoly - An Experiment,"
Game Theory and Information
9707009, EconWPA, revised 22 Jul 1997.
- Cooper, Arnold C. & Woo, Carolyn Y. & Dunkelberg, William C., 1988. "Entrepreneurs' perceived chances for success," Journal of Business Venturing, Elsevier, vol. 3(2), pages 97-108.
- Jerry Green, 1987. ""Making Book Against Oneself," the Independence Axiom, and Nonlinear Utility Theory," The Quarterly Journal of Economics, Oxford University Press, vol. 102(4), pages 785-796.
- Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-80, November.
- 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..
- Marinacci, Massimo, 2000. "Ambiguous Games," Games and Economic Behavior, Elsevier, vol. 31(2), pages 191-219, May.
- 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.
- Michael Kilka & Martin Weber, 2001. "What Determines the Shape of the Probability Weighting Function Under Uncertainty?," Management Science, INFORMS, vol. 47(12), pages 1712-1726, December.
- Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February.
- Truman F. Bewley, 1986. "Knightian Decision Theory: Part 1," Cowles Foundation Discussion Papers 807, Cowles Foundation for Research in Economics, Yale University.
- Eichberger, Jurgen & Kelsey, David, 2002. "Strategic Complements, Substitutes, and Ambiguity: The Implications for Public Goods," Journal of Economic Theory, Elsevier, vol. 106(2), pages 436-466, October.
- Vickers, John, 1985. "Delegation and the Theory of the Firm," Economic Journal, Royal Economic Society, vol. 95(380a), pages 138-47, Supplemen.
- Kelsey, D., 1992.
"Maxmin Expected Utility and Weight of Evidence,"
92-20, Department of Economics, University of Birmingham.
- Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
- Martin J Osborne & Ariel Rubinstein, 2009.
"A Course in Game Theory,"
814577000000000225, UCLA Department of Economics.
- Chaim Fershtman & Kenneth L Judd, 1984.
"Equilibrium Incentives in Oligopoly,"
642, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Larry G. Epstein, 1999. "A Definition of Uncertainty Aversion," Review of Economic Studies, Oxford University Press, vol. 66(3), pages 579-608.
- David Schmeidler, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Levine's Working Paper Archive
7662, David K. Levine.
- Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
- 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.
- Fulvio Fontini, 2005. "Cournot Oligopoly Under Strategic Uncertainty With Optimistic And Pessimistic Firms," Metroeconomica, Wiley Blackwell, vol. 56(3), pages 318-333, 07.
- Eichberger, Jurgen & Kelsey, David, 2000. "Non-Additive Beliefs and Strategic Equilibria," Games and Economic Behavior, Elsevier, vol. 30(2), pages 183-215, February.
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