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A Note on Optimal Experimentation under Risk Aversion

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  • Vladimir Novak
  • Tim Willems

Abstract

This paper solves the two-armed bandit problem when decision makers are risk averse. It shows, counterintuitively, that a more risk-averse decision maker might be more willing to take risky actions. The reason relates to the fact that pulling the risky arm in bandit models produces information on the environment – thereby reducing the risk that a decision maker will face in the future. This finding gives reason for caution when inferring risk preferences from observed actions: in a bandit setup, observing a greater appetite for risky actions can actually be indicative of more risk aversion, not less. Studies which do not take this into account may produce biased estimates.

Suggested Citation

  • Vladimir Novak & Tim Willems, 2018. "A Note on Optimal Experimentation under Risk Aversion," CERGE-EI Working Papers wp618, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
  • Handle: RePEc:cer:papers:wp618
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    References listed on IDEAS

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    1. Rothschild, Michael, 1974. "Searching for the Lowest Price When the Distribution of Prices Is Unknown," Journal of Political Economy, University of Chicago Press, vol. 82(4), pages 689-711, July/Aug..
    2. Weitzman, Martin L, 1979. "Optimal Search for the Best Alternative," Econometrica, Econometric Society, vol. 47(3), pages 641-654, May.
    3. Roberts, Kevin & Weitzman, Martin L, 1981. "Funding Criteria for Research, Development, and Exploration Projects," Econometrica, Econometric Society, vol. 49(5), pages 1261-1288, September.
    4. Godfrey Keller & Sven Rady & Martin Cripps, 2005. "Strategic Experimentation with Exponential Bandits," Econometrica, Econometric Society, vol. 73(1), pages 39-68, January.
    5. Oriana Bandiera & Luigi Guiso & Andrea Prat & Raffaella Sadun, 2015. "Matching Firms, Managers, and Incentives," Journal of Labor Economics, University of Chicago Press, vol. 33(3), pages 623-681.
    6. Cramer, J. S. & Hartog, J. & Jonker, N. & Van Praag, C. M., 2002. "Low risk aversion encourages the choice for entrepreneurship: an empirical test of a truism," Journal of Economic Behavior & Organization, Elsevier, vol. 48(1), pages 29-36, May.
    7. Thierry Post & Martijn J. van den Assem & Guido Baltussen & Richard H. Thaler, 2008. "Deal or No Deal? Decision Making under Risk in a Large-Payoff Game Show," American Economic Review, American Economic Association, vol. 98(1), pages 38-71, March.
    8. Bonatti, Alessandro & Hörner, Johannes, 2017. "Career concerns with exponential learning," Theoretical Economics, Econometric Society, vol. 12(1), January.
    9. Tobias J. Moskowitz & Annette Vissing-Jørgensen, 2002. "The Returns to Entrepreneurial Investment: A Private Equity Premium Puzzle?," American Economic Review, American Economic Association, vol. 92(4), pages 745-778, September.
    10. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
    11. Keller, Godfrey & Rady, Sven, 2010. "Strategic experimentation with Poisson bandits," Theoretical Economics, Econometric Society, vol. 5(2), May.
    12. Robert B. Barsky & F. Thomas Juster & Miles S. Kimball & Matthew D. Shapiro, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 537-579.
    13. Rothschild, Michael, 1974. "A two-armed bandit theory of market pricing," Journal of Economic Theory, Elsevier, vol. 9(2), pages 185-202, October.
    14. Schiller, Bradley R & Crewson, Philip E, 1997. "Entrepreneurial Origins: A Longitudinal Inquiry," Economic Inquiry, Western Economic Association International, vol. 35(3), pages 523-531, July.
    15. Nicolas de Roos & Yianis Sarafidis, 2010. "Decision making under risk in Deal or No Deal," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(6), pages 987-1027.
    16. Heidhues, Paul & Rady, Sven & Strack, Philipp, 2015. "Strategic experimentation with private payoffs," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 531-551.
    17. William R. Kerr & Ramana Nanda & Matthew Rhodes-Kropf, 2014. "Entrepreneurship as Experimentation," Journal of Economic Perspectives, American Economic Association, vol. 28(3), pages 25-48, Summer.
    18. Michael Rothschild, 1974. "Searching for the Lowest Price When the Distribution of Prices Is Unknown: A Summary," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 1, pages 293-294, National Bureau of Economic Research, Inc.
    19. Kihlstrom, Richard E & Laffont, Jean-Jacques, 1979. "A General Equilibrium Entrepreneurial Theory of Firm Formation Based on Risk Aversion," Journal of Political Economy, University of Chicago Press, vol. 87(4), pages 719-748, August.
    20. Jean-Philippe Chancelier & Michel Lara & André Palma, 2009. "Risk aversion in expected intertemporal discounted utilities bandit problems," Theory and Decision, Springer, vol. 67(4), pages 433-440, October.
    21. Cantillon, Richard, 1755. "Essai Sur La Nature du Commerce en Général," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number cantillon1755.
    22. Steffen Andersen & Amalia Girolamo & Glenn Harrison & Morten Lau, 2014. "Risk and time preferences of entrepreneurs: evidence from a Danish field experiment," Theory and Decision, Springer, vol. 77(3), pages 341-357, October.
    23. Neus Herranz & Stefan Krasa & Anne P. Villamil, 2015. "Entrepreneurs, Risk Aversion, and Dynamic Firms," Journal of Political Economy, University of Chicago Press, vol. 123(5), pages 1133-1176.
    24. Barton H. Hamilton, 2000. "Does Entrepreneurship Pay? An Empirical Analysis of the Returns to Self-Employment," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 604-631, June.
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    More about this item

    Keywords

    experimentation; learning; risk aversion;

    JEL classification:

    • 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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