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Uncertainty Aversion in Game Theory: Experimental Evidence

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  • Evan Calford

Abstract

This paper experimentally investigates the role of uncertainty aversion in normal form games. Theoretically, risk aversion will affect the utility value assigned to realized outcomes while ambiguity aversion affects the evaluation of strategies. In practice, however, utilities over outcomes are unobservable and the effects of risk and ambiguity are confounded. This paper introduces a novel methodology for identifying the effects of risk and ambiguity preferences on behavior in games in a laboratory environment. Furthermore, we also separate the effects of a subject's beliefs over her opponent's preferences from the effects of her own preferences. The results support the conjecture that both preferences over uncertainty and beliefs over opponent's preferences affect behavior in normal form games.

Suggested Citation

  • Evan Calford, 2017. "Uncertainty Aversion in Game Theory: Experimental Evidence," Purdue University Economics Working Papers 1291, Purdue University, Department of Economics.
    • Handle: RePEc:pur:prukra:1291
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    1. Diecidue, Enrico & Wakker, Peter P, 2001. "On the Intuition of Rank-Dependent Utility," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 281-298, November.
    2. David Kelsey & Sara Roux, 2015. "An experimental study on the effect of ambiguity in a coordination game," Theory and Decision, Springer, vol. 79(4), pages 667-688, December.
    3. Sujoy Chakravarty & Jaideep Roy, 2009. "Recursive expected utility and the separation of attitudes towards risk and ambiguity: an experimental study," Theory and Decision, Springer, vol. 66(3), pages 199-228, March.
    4. Yoram Halevy & Vincent Feltkamp, 2005. "A Bayesian Approach to Uncertainty Aversion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 449-466.
    5. Bade, Sophie, 2011. "Ambiguous act equilibria," Games and Economic Behavior, Elsevier, vol. 71(2), pages 246-260, March.
    6. Aurélien Baillon & Yoram Halevy & Chen Li, 2022. "Experimental elicitation of ambiguity attitude using the random incentive system," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 1002-1023, June.
    7. Mohammed Abdellaoui & Peter Klibanoff & Lætitia Placido, 2015. "Experiments on Compound Risk in Relation to Simple Risk and to Ambiguity," Management Science, INFORMS, vol. 61(6), pages 1306-1322, June.
    8. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    9. Lo, Kin Chung, 2009. "Correlated Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 144(2), pages 722-743, March.
    10. Frank Heinemann & Rosemarie Nagel & Peter Ockenfels, 2009. "Measuring Strategic Uncertainty in Coordination Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 181-221.
    11. Michèle Cohen & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2011. "An experimental investigation of imprecision attitude and its relation with risk attitude and impatience," Theory and Decision, Springer, vol. 71(1), pages 81-109, July.
    12. Mohammed Abdellaoui & Aurelien Baillon & Laetitia Placido & Peter P. Wakker, 2011. "The Rich Domain of Uncertainty: Source Functions and Their Experimental Implementation," American Economic Review, American Economic Association, vol. 101(2), pages 695-723, April.
    13. 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.
    14. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    15. 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.
    16. Jürgen Eichberger & Simon Grant & David Kelsey, 2016. "Randomization and dynamic consistency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(3), pages 547-566, August.
    17. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    18. Larry G Epstein & Yoram Halevy, 2019. "Ambiguous Correlation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(2), pages 668-693.
    19. Calford, Evan, 2016. "Mixed Strategies in Games with Ambiguity Averse Agents," MPRA Paper 74909, University Library of Munich, Germany.
    20. Jonathan Weinstein, 2016. "The Effect of Changes in Risk Attitude on Strategic Behavior," Econometrica, Econometric Society, vol. 84, pages 1881-1902, September.
    21. Brunner, Christoph & Kauffeldt, T. Florian & Rau, Hannes, 2017. "Does mutual knowledge of preferences lead to more equilibrium play? Experimental evidence," Working Papers 0629, University of Heidelberg, Department of Economics.
    22. Curley, Shawn P. & Yates, J. Frank & Abrams, Richard A., 1986. "Psychological sources of ambiguity avoidance," Organizational Behavior and Human Decision Processes, Elsevier, vol. 38(2), pages 230-256, October.
    23. James Cox & Vjollca Sadiraj & Ulrich Schmidt, 2015. "Paradoxes and mechanisms for choice under risk," Experimental Economics, Springer;Economic Science Association, vol. 18(2), pages 215-250, June.
    24. Azrieli, Yaron & Teper, Roee, 2011. "Uncertainty aversion and equilibrium existence in games with incomplete information," Games and Economic Behavior, Elsevier, vol. 73(2), pages 310-317.
    25. Ebbe Groes & Hans Jørgen Jacobsen & Birgitte Sloth & Torben Tranaes, 1998. "Nash Equilibrium with Lower Probabilities," Theory and Decision, Springer, vol. 44(1), pages 37-66, January.
    26. Yoram Halevy, 2007. "Ellsberg Revisited: An Experimental Study," Econometrica, Econometric Society, vol. 75(2), pages 503-536, March.
    27. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    28. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    29. David Kelsey & Sara le Roux, 2018. "Strategic ambiguity and decision-making: an experimental study," Theory and Decision, Springer, vol. 84(3), pages 387-404, May.
    30. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    31. Yaron Azrieli & Christopher P. Chambers & Paul J. Healy, 2018. "Incentives in Experiments: A Theoretical Analysis," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1472-1503.
    32. Calford, Evan M., 2021. "Mixed strategies and preference for randomization in games with ambiguity averse agents," Journal of Economic Theory, Elsevier, vol. 197(C).
    33. Lo, Kin Chung, 1996. "Equilibrium in Beliefs under Uncertainty," Journal of Economic Theory, Elsevier, vol. 71(2), pages 443-484, November.
    34. Carmela Di Mauro & Anna Maffioletti, 2004. "Attitudes to risk and attitudes to uncertainty: experimental evidence," Applied Economics, Taylor & Francis Journals, vol. 36(4), pages 357-372.
    35. Eichberger, Jurgen & Kelsey, David, 1996. "Uncertainty Aversion and Preference for Randomisation," Journal of Economic Theory, Elsevier, vol. 71(1), pages 31-43, October.
    36. Chen Li & Uyanga Turmunkh & Peter P. Wakker, 2019. "Trust as a decision under ambiguity," Experimental Economics, Springer;Economic Science Association, vol. 22(1), pages 51-75, March.
    37. Jürgen Eichberger & David Kelsey, 2014. "Optimism And Pessimism In Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 483-505, May.
    38. David Kelsey & Sara Le Roux, 2017. "Dragon Slaying with Ambiguity: Theory and Experiments," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(1), pages 178-197, February.
    39. P. Battigalli & S. Cerreia‐Vioglio & F. Maccheroni & M. Marinacci, 2016. "A Note on Comparative Ambiguity Aversion and Justifiability," Econometrica, Econometric Society, vol. 84, pages 1903-1916, September.
    40. Cohen, Michele & Jaffray, Jean-Yves & Said, Tanios, 1987. "Experimental comparison of individual behavior under risk and under uncertainty for gains and for losses," Organizational Behavior and Human Decision Processes, Elsevier, vol. 39(1), pages 1-22, February.
    41. Ivanov, Asen, 2011. "Attitudes to ambiguity in one-shot normal-form games: An experimental study," Games and Economic Behavior, Elsevier, vol. 71(2), pages 366-394, March.
    42. Kota Saito, 2015. "Preferences for Flexibility and Randomization under Uncertainty," American Economic Review, American Economic Association, vol. 105(3), pages 1246-1271, March.
    43. Bohnet, Iris & Zeckhauser, Richard, 2004. "Trust, risk and betrayal," Journal of Economic Behavior & Organization, Elsevier, vol. 55(4), pages 467-484, December.
    44. Peter Bossaerts & Paolo Ghirardato & Serena Guarnaschelli & William R. Zame, 2010. "Ambiguity in Asset Markets: Theory and Experiment," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1325-1359, April.
    45. Aurélien Baillon & Zhenxing Huang & Asli Selim & Peter P. Wakker, 2018. "Measuring Ambiguity Attitudes for All (Natural) Events," Econometrica, Econometric Society, vol. 86(5), pages 1839-1858, September.
    46. Ilke Aydogan & Loic Berger & Valentina Bosetti, 2019. "Economic Rationality: Investigating the Links between Uncertainty, Complexity, and Sophistication," Working Papers 653, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    47. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    48. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    49. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2003. "Risk averse behavior in generalized matching pennies games," Games and Economic Behavior, Elsevier, vol. 45(1), pages 97-113, October.
    50. Eichberger, Jurgen & Kelsey, David, 2000. "Non-Additive Beliefs and Strategic Equilibria," Games and Economic Behavior, Elsevier, vol. 30(2), pages 183-215, February.
    51. Epstein, Larry G. & Halevy, Yoram, 2014. "No Two Experiments are Identical," Microeconomics.ca working papers yoram_halevy-2014-9, Vancouver School of Economics, revised 15 Feb 2017.
    52. Epstein, Larry G., 1997. "Preference, Rationalizability and Equilibrium," Journal of Economic Theory, Elsevier, vol. 73(1), pages 1-29, March.
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    Cited by:

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    2. Calford, Evan, 2016. "Mixed Strategies in Games with Ambiguity Averse Agents," MPRA Paper 74909, University Library of Munich, Germany.
    3. Cédric Gutierrez & Emmanuel Kemel, 2024. "Measuring natural source dependence," Experimental Economics, Springer;Economic Science Association, vol. 27(2), pages 379-416, April.
    4. Calford, Evan M., 2021. "Mixed strategies and preference for randomization in games with ambiguity averse agents," Journal of Economic Theory, Elsevier, vol. 197(C).
    5. Cathleen Johnson & Aurélien Baillon & Han Bleichrodt & Zhihua Li & Dennie Dolder & Peter P. Wakker, 2021. "Prince: An improved method for measuring incentivized preferences," Journal of Risk and Uncertainty, Springer, vol. 62(1), pages 1-28, February.
    6. Li, Chen & Turmunkh, Uyanga & Wakker, Peter P., 2020. "Social and strategic ambiguity versus betrayal aversion," Games and Economic Behavior, Elsevier, vol. 123(C), pages 272-287.
    7. Matteo M. Marini & Aurora García-Gallego & Luca Corazzini, 2018. "Communication in a threshold public goods game with ambiguity: Anomalies and regularities," Working Papers 2018/03, Economics Department, Universitat Jaume I, Castellón (Spain).
    8. David Kelsey & Sara le Roux, 2018. "Strategic ambiguity and decision-making: an experimental study," Theory and Decision, Springer, vol. 84(3), pages 387-404, May.
    9. Evan M. Calford & Gregory DeAngelo, 2023. "Ambiguity and enforcement," Experimental Economics, Springer;Economic Science Association, vol. 26(2), pages 304-338, April.
    10. Johannes Carow & Niklas M. Witzig, 2024. "Time Pressure and Strategic Risk-Taking in Professional Chess," Working Papers 2404, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    11. Caetano, Rafaela Vital & Marques, António Cardoso, 2023. "Could energy transition be a game changer for the transfer of polluting industries from developed to developing countries? An application of game theory," Structural Change and Economic Dynamics, Elsevier, vol. 65(C), pages 351-363.
    12. Andrea Morone & Paola Tiranzoni, 2020. "Bargaining in a "Pawn Shop": A field experiment to study WTA," Framed Field Experiments 00702, The Field Experiments Website.

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    More about this item

    Keywords

    Ambiguity Aversion; Game Theory; Experimental Economics; Preferences;
    All these keywords.

    JEL classification:

    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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