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A Smooth Ambiguity Model Of The Competitive Firm

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  • Kit Pong Wong

Abstract

type="main"> This paper examines the optimal production decision of the competitive firm under price uncertainty when the firm's preferences exhibit smooth ambiguity aversion. Ambiguity is modeled by a second-order probability distribution that captures the firm's uncertainty about which of the subjective beliefs govern the price risk. Ambiguity preferences are modeled by the (second-order) expectation of a concave transformation of the (first-order) expected utility of profit conditional on each plausible subjective distribution of the price risk. Within this framework, we derive necessary and sufficient conditions under which the ambiguity-averse firm optimally produces less in response either to the introduction of ambiguity or to greater ambiguity aversion when ambiguity prevails. In the case that the price risk is binary, we show that ambiguity and greater ambiguity aversion always adversely affect the firm's production decision.

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  • Kit Pong Wong, 2015. "A Smooth Ambiguity Model Of The Competitive Firm," Bulletin of Economic Research, Wiley Blackwell, vol. 67(S1), pages 97-110, December.
  • Handle: RePEc:bla:buecrs:v:67:y:2015:i:s1:p:s97-s110
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    References listed on IDEAS

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    1. Wong, Kit Pong, 1996. "Background Risk and the Theory of the Competitive Firm under Uncertainty," Bulletin of Economic Research, Wiley Blackwell, vol. 48(3), pages 241-251, July.
    2. Christian Gollier, 2011. "Portfolio Choices and Asset Prices: The Comparative Statics of Ambiguity Aversion," Review of Economic Studies, Oxford University Press, vol. 78(4), pages 1329-1344.
    3. Treich, Nicolas, 2010. "The value of a statistical life under ambiguity aversion," Journal of Environmental Economics and Management, Elsevier, vol. 59(1), pages 15-26, January.
    4. 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.
    5. Viaene, Jean-Marie & Zilcha, Itzhak, 1998. "The Behavior of Competitive Exporting Firms under Multiple Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(3), pages 591-609, August.
    6. Chow, Clare Chua & Sarin, Rakesh K, 2001. "Comparative Ignorance and the Ellsberg Paradox," Journal of Risk and Uncertainty, Springer, vol. 22(2), pages 129-139, March.
    7. Juan Camilo Cardenas & Jeffrey Carpenter, 2008. "Behavioural Development Economics: Lessons from Field Labs in the Developing World," Journal of Development Studies, Taylor & Francis Journals, vol. 44(3), pages 311-338.
    8. Broll, Udo & Zilcha, Itzhak, 1992. "Exchange rate uncertainty, futures markets and the multinational firm," European Economic Review, Elsevier, vol. 36(4), pages 815-826, May.
    9. Hideki Iwaki & Yusuke Osaki, 2014. "The dual theory of the smooth ambiguity model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 275-289, June.
    10. Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
    11. Harrell Chesson & W. Viscusi, 2003. "Commonalities in Time and Ambiguity Aversion for Long-Term Risks ," Theory and Decision, Springer, vol. 54(1), pages 57-71, February.
    12. Wong, Kit Pong, 2012. "Production and insurance under regret aversion," Economic Modelling, Elsevier, vol. 29(4), pages 1154-1160.
    13. Broll, Udo F, 1992. "The Effect of Forward Markets on Multinational Firms," Bulletin of Economic Research, Wiley Blackwell, vol. 44(3), pages 233-240, July.
    14. Christian Gollier, 2014. "Optimal insurance design of ambiguous risks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 555-576, November.
    15. W. Viscusi & Harrell Chesson, 1999. "Hopes and Fears: the Conflicting Effects of Risk Ambiguity," Theory and Decision, Springer, vol. 47(2), pages 157-184, October.
    16. Costis Skiadas, 2013. "Smooth Ambiguity Aversion toward Small Risks and Continuous-Time Recursive Utility," Journal of Political Economy, University of Chicago Press, vol. 121(4), pages 000.
    17. Kit Pong Wong, 2015. "Ambiguity and the Value of Hedging," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 35(9), pages 839-848, September.
    18. Barham, Bradford L. & Chavas, Jean-Paul & Fitz, Dylan & Salas, Vanessa Ríos & Schechter, Laura, 2014. "The roles of risk and ambiguity in technology adoption," Journal of Economic Behavior & Organization, Elsevier, vol. 97(C), pages 204-218.
    19. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    20. Batra, Raveendra N & Ullah, Aman, 1974. "Competitive Firm and the Theory of Input Demand under Price Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 82(3), pages 537-548, May/June.
    21. Arthur Snow, 2010. "Ambiguity and the value of information," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 133-145, April.
    22. William Neilson, 2010. "A simplified axiomatic approach to ambiguity aversion," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 113-124, October.
    23. Rakesh K. Sarin & Martin Weber, 1993. "Effects of Ambiguity in Market Experiments," Management Science, INFORMS, vol. 39(5), pages 602-615, May.
    24. Arthur Snow, 2011. "Ambiguity aversion and the propensities for self-insurance and self-protection," Journal of Risk and Uncertainty, Springer, vol. 42(1), pages 27-43, February.
    25. Taboga, Marco, 2005. "Portfolio selection with two-stage preferences," Finance Research Letters, Elsevier, vol. 2(3), pages 152-164, September.
    26. Einhorn, Hillel J & Hogarth, Robin M, 1986. "Decision Making under Ambiguity," The Journal of Business, University of Chicago Press, vol. 59(4), pages 225-250, October.
    27. Wong, Kit Pong, 2014. "Regret theory and the competitive firm," Economic Modelling, Elsevier, vol. 36(C), pages 172-175.
    28. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    29. Kit Pong Wong, 1996. "Background Risk And The Theory Of The Competitive Firm Under Uncertainty," Bulletin of Economic Research, Wiley Blackwell, vol. 48(3), pages 241-251, July.
    30. Paroush, Jacob & Venezia, Itzhak, 1979. "On the theory of the competitive firm with a utility function defined on profits and regret," European Economic Review, Elsevier, vol. 12(3), pages 193-202, July.
    31. 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.
    32. David Alary & Christian Gollier & Nicolas Treich, 2013. "The Effect of Ambiguity Aversion on Insurance and Self‐protection," Economic Journal, Royal Economic Society, vol. 123(12), pages 1188-1202, December.
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    Cited by:

    1. Simon Quemin, 2016. "Intertemporal abatement decisions under ambiguity aversion in a cap and trade," Working Papers 1604, Chaire Economie du climat.
    2. Takashi Nishiwaki, 2020. "Does Ambiguity Generate Demand for Options?," Working Papers 2011, Waseda University, Faculty of Political Science and Economics.
    3. Gong, Di & Jiang, Tao & Li, Zhao & Wu, Weixing, 2022. "Optimal loan contracting under policy uncertainty: Theory and international evidence," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 77(C).
    4. Udo Broll & Peter Welzel & Kit Pong Wong, 2018. "Ambiguity preferences, risk taking and the banking firm," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 8(3), pages 343-353, December.
    5. Broll, Udo & Welzel, Peter & Wong, Kit Pong, 2016. "The banking firm under ambiguity aversion," CEPIE Working Papers 01/16, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    6. Broll, Udo & Wong, Kit Pong, 2015. "The incentive to trade under ambiguity aversion," The Journal of Economic Asymmetries, Elsevier, vol. 12(2), pages 190-196.

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