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Market Allocations under Ambiguity: A Survey

Author

Listed:
  • Antoine Billot

    (LEM - Laboratoire d'Économie Moderne - UP2 - Université Panthéon-Assas)

  • Sujoy Mukerji

    (QMUL - Queen Mary University of London)

  • Jean-Marc Tallon

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We review some of the (theoretical) economic implications of David Schmeidler's models of decision under uncertainty (Choquet expected utility and maxmin expected utility) in competitive market settings. We start with the portfolio inertia result of Dow and Werlang (1992), show how it does or does not generalize in an equilibrium setting. We further explore the equilibrium implications (indeterminacies, non revelation of information) of these decision models. A section is then devoted to the studies of Pareto optimal arrangements under these models. We conclude with a discussion of experimental evidence for these models that relate, in particular, to the implications for market behaviour discussed in the preceding sections.

Suggested Citation

  • Antoine Billot & Sujoy Mukerji & Jean-Marc Tallon, 2020. "Market Allocations under Ambiguity: A Survey," PSE-Ecole d'économie de Paris (Postprint) halshs-02495663, HAL.
  • Handle: RePEc:hal:pseptp:halshs-02495663
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02495663
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    References listed on IDEAS

    as
    1. Tallon, Jean-Marc, 1998. "Asymmetric Information, Nonadditive Expected Utility, and the Information Revealed by Prices: An Example," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 329-342, May.
    2. Milo Bianchi & Jean-Marc Tallon, 2014. "Ambiguity Preferences and Portfolio Choices: Evidence from the Field," Post-Print halshs-01109655, HAL.
    3. repec:dau:papers:123456789/5393 is not listed on IDEAS
    4. Larry G. Epstein, 2001. "Sharing Ambiguity," American Economic Review, American Economic Association, vol. 91(2), pages 45-50, May.
    5. ,, 2013. "Endogenous indeterminacy and volatility of asset prices under ambiguity," Theoretical Economics, Econometric Society, vol. 8(3), September.
    6. repec:hal:pseose:hal-00685413 is not listed on IDEAS
    7. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    8. Chew, Soo Hong, 1983. "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox," Econometrica, Econometric Society, vol. 51(4), pages 1065-1092, July.
    9. Sujoy Mukerji & Jean-Marc Tallon, 2001. "Ambiguity Aversion and Incompleteness of Financial Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 883-904.
    10. Larry G. Epstein & Martin Schneider, 2008. "Ambiguity, Information Quality, and Asset Pricing," Journal of Finance, American Finance Association, vol. 63(1), pages 197-228, February.
    11. Antoine Billot & Alain Chateauneuf & Itzhak Gilboa & Jean-Marc Tallon, 2000. "Sharing Beliefs: Between Agreeing and Disagreeing," Econometrica, Econometric Society, vol. 68(3), pages 685-694, May.
    12. Judson A. Caskey, 2009. "Information in Equity Markets with Ambiguity-Averse Investors," The Review of Financial Studies, Society for Financial Studies, vol. 22(9), pages 3595-3627, September.
    13. Mark Schneider & Jonathan W. Leland & Nathaniel T. Wilcox, 2018. "Ambiguity framed," Journal of Risk and Uncertainty, Springer, vol. 57(2), pages 133-151, October.
      • Mark Schneider & Jonathan Leland & Nathaniel T. Wilcox, 2016. "Ambiguity Framed," Working Papers 16-11, Chapman University, Economic Science Institute.
    14. Massimo Guidolin & Francesca Rinaldi, 2013. "Ambiguity in asset pricing and portfolio choice: a review of the literature," Theory and Decision, Springer, vol. 74(2), pages 183-217, February.
    15. Dana, Rose-Anne & Riedel, Frank, 2013. "Intertemporal equilibria with Knightian uncertainty," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1582-1605.
    16. Antonio Mele & Francesco Sangiorgi, 2015. "Uncertainty, Information Acquisition, and Price Swings in Asset Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(4), pages 1533-1567.
    17. Youichiro Higashi & Sujoy Mukerji & Norio Takeoka & Jean‐Marc Tallon, 2008. "Comment on “Ellsberg's two‐color experiment, portfolio inertia and ambiguity”," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(3), pages 433-444, September.
    18. Tallon, Jean-Marc, 1998. "Asymmetric Information, Nonadditive Expected Utility, and the Information Revealed by Prices: An Example," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 329-342, May.
    19. Araujo, Aloisio & Chateauneuf, Alain & Faro, José Heleno, 2018. "Financial market structures revealed by pricing rules: Efficient complete markets are prevalent," Journal of Economic Theory, Elsevier, vol. 173(C), pages 257-288.
    20. Scott Condie & Jayant V. Ganguli, 2011. "Ambiguity and Rational Expectations Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 821-845.
    21. Milo Bianchi & Jean-Marc Tallon, 2019. "Ambiguity Preferences and Portfolio Choices: Evidence from the Field," PSE-Ecole d'économie de Paris (Postprint) halshs-01886572, HAL.
    22. Luca Rigotti & Chris Shannon, 2005. "Uncertainty and Risk in Financial Markets," Econometrica, Econometric Society, vol. 73(1), pages 203-243, January.
    23. Milo Bianchi & Jean-Marc Tallon, 2019. "Ambiguity Preferences and Portfolio Choices: Evidence from the Field," Post-Print halshs-01886572, HAL.
    24. Luciano Castro & Alain Chateauneuf, 2011. "Ambiguity aversion and trade," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 243-273, October.
    25. Aloisio Araujo & Alain Chateauneuf & José Faro, 2012. "Pricing rules and Arrow–Debreu ambiguous valuation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 1-35, January.
    26. Chateauneuf, Alain & Dana, Rose-Anne & Tallon, Jean-Marc, 2000. "Optimal risk-sharing rules and equilibria with Choquet-expected-utility," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 191-214, October.
    27. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
    28. 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.
    29. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    30. Castagnoli, Erio & Maccheroni, Fabio & Marinacci, Massimo, 2002. "Insurance premia consistent with the market," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 267-284, October.
    31. Alain Chateauneuf & Luciano De Castro, 2011. "Ambiguity Aversion and Absence of Trade," Discussion Papers 1535, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    32. Aurélien Baillon & Han Bleichrodt, 2015. "Testing Ambiguity Models through the Measurement of Probabilities for Gains and Losses," American Economic Journal: Microeconomics, American Economic Association, vol. 7(2), pages 77-100, May.
    33. Stephen G. Dimmock & Roy Kouwenberg & Peter P. Wakker, 2016. "Ambiguity Attitudes in a Large Representative Sample," Management Science, INFORMS, vol. 62(5), pages 1363-1380, May.
    34. Gharad Bryan, 2019. "Ambiguity Aversion Decreases the Impact of Partial Insurance: Evidence from African Farmers," Journal of the European Economic Association, European Economic Association, vol. 17(5), pages 1428-1469.
    35. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    36. Milo Bianchi & Jean-Marc Tallon, 2014. "Ambiguity Preferences and Portfolio Choices: Evidence from the Field," Post-Print halshs-01109655, HAL.
    37. Mongin, Philippe, 2016. "Spurious Unanimity And The Pareto Principle," Economics and Philosophy, Cambridge University Press, vol. 32(3), pages 511-532, November.
    38. Dimmock, Stephen G. & Kouwenberg, Roy & Mitchell, Olivia S. & Peijnenburg, Kim, 2016. "Ambiguity aversion and household portfolio choice puzzles: Empirical evidence," Journal of Financial Economics, Elsevier, vol. 119(3), pages 559-577.
    39. Patrick Beissner & Frank Riedel, 2019. "Equilibria Under Knightian Price Uncertainty," Econometrica, Econometric Society, vol. 87(1), pages 37-64, January.
    40. repec:ipg:wpaper:2013-016 is not listed on IDEAS
    41. Dow, James & Werlang, Sergio Ribeiro da Costa, 1992. "Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio," Econometrica, Econometric Society, vol. 60(1), pages 197-204, January.
    42. Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M., 2015. "Put–Call Parity and market frictions," Journal of Economic Theory, Elsevier, vol. 157(C), pages 730-762.
    43. David Ahn & Syngjoo Choi & Douglas Gale & Shachar Kariv, 2014. "Estimating ambiguity aversion in a portfolio choice experiment," Quantitative Economics, Econometric Society, vol. 5, pages 195-223, July.
    44. Chateauneuf, Alain & Dana, Rose-Anne & Tallon, Jean-Marc, 2000. "Optimal risk-sharing rules and equilibria with Choquet-expected-utility," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 191-214, October.
    45. Ghirardato, Paolo & Siniscalchi, Marciano, 2018. "Risk sharing in the small and in the large," Journal of Economic Theory, Elsevier, vol. 175(C), pages 730-765.
    46. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    47. Chateauneuf, A. & Kast, R. & Lapied, A., 1992. "Choquet Pricing for Financial Markets with Frictions," G.R.E.Q.A.M. 92a11, Universite Aix-Marseille III.
    48. Han Ozsoylev & Jan Werner, 2011. "Liquidity and asset prices in rational expectations equilibrium with ambiguous information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 469-491, October.
    49. Michael Greinecker & Christoph Kuzmics, 2019. "Limit Orders under Knightian Uncertainty," Graz Economics Papers 2019-03, University of Graz, Department of Economics.
    50. repec:ipg:wpaper:16 is not listed on IDEAS
    51. Michael Greinecker & Christoph Kuzmics, 2022. "Limit Orders and Knightian Uncertainty," Papers 2208.10804, arXiv.org.
    52. Philipp Karl Illeditsch, 2011. "Ambiguous Information, Portfolio Inertia, and Excess Volatility," Journal of Finance, American Finance Association, vol. 66(6), pages 2213-2247, December.
    53. repec:dau:papers:123456789/11268 is not listed on IDEAS
    54. repec:dau:papers:123456789/5461 is not listed on IDEAS
    55. Rose-Anne Dana, 2004. "Ambiguity, uncertainty aversion and equilibrium welfare," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 569-587, March.
    56. Luca Rigotti & Chris Shannon & Tomasz Strzalecki, 2008. "Subjective Beliefs and ex ante Trade," Econometrica, Econometric Society, vol. 76(5), pages 1167-1190, September.
    57. Rigotti, Luca & Shannon, Chris, 2012. "Sharing risk and ambiguity," Journal of Economic Theory, Elsevier, vol. 147(5), pages 2028-2039.
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    More about this item

    Keywords

    Maxmin Expected Utility; No-trade; Risk Sharing; Indeterminacy; Experimental evidence; Choquet Expected Utility; Espérance d'utilité à la Choquet; Minimum d'espérances d'utilité; absence d'échanges; partage du risque; indétermination; expériences;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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