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An overview of economic applications of David Schmeidler`s models of decision making under uncertainty

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Author Info

  • Sujoy Mukerji
  • Jean-Marc Tallon

Abstract

This paper surveys some economic applications of the decision theoretic framework pioneered by David Schmeidler. We have organized the discussion around three themes: financial markets, contractual arrangements and game theory. The first section discusses papers that have contributed to a better understanding of financial market outcomes based on ambiguity aversion. The second section focusses on contractual arrangements and is divided into two sub-sections. The first sub-section reports research on optimal risk sharing arrangements, while in the second sub-section, discusses research on incentive contracts. The third section concentrates on strategic interaction and reviews several papers that have extended different game theoretic solution concepts to settings with ambiguity averse players. A final section deals with several contributions that are linked only at a formal level, in terms of the pure mathematical structures involved, with Schmeidler`s models of decision making under ambiguity. The contributions involve issues such as, inequality measurement, intertemporal decision making and multi-attribute choice.

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Bibliographic Info

Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 165.

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Date of creation: 01 Jul 2003
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Handle: RePEc:oxf:wpaper:165

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Related research

Keywords: Ellsberg Paradox; ambiguity aversion; uncertainty aversion.;

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References

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  1. Shalev, Jonathan, 1997. "Loss aversion in a multi-period model," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 203-226, June.
  2. Mokerji, S. & Tallon, J.M., 2000. "Ambiguity Aversion and the Absence of Indexed Debt," Papiers d'Economie Mathématique et Applications 2000.53, Université Panthéon-Sorbonne (Paris 1).
  3. Lo, Kin Chung, 1996. "Equilibrium in Beliefs under Uncertainty," Journal of Economic Theory, Elsevier, vol. 71(2), pages 443-484, November.
  4. repec:hal:journl:halshs-00451997 is not listed on IDEAS
  5. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
  6. 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.
  7. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
  8. Lars Peter Hansen & Thomas J. Sargent & Thomas D. Tallarini Jr., 1997. "Robust Permanent Income and Pricing," Levine's Working Paper Archive 596, David K. Levine.
  9. Bryan Routledge & Stanley Zin, 2009. "Model Uncertainty and Liquidity," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(4), pages 543-566, October.
  10. repec:hal:cesptp:halshs-00174553 is not listed on IDEAS
  11. D. Pearce, 2010. "Rationalizable Strategic Behavior and the Problem of Perfection," Levine's Working Paper Archive 523, David K. Levine.
  12. Larry G. Epstein & JianJun Miao, 2001. "A Two-Person Dynamic Equilibrium under Ambiguity," RCER Working Papers 478, University of Rochester - Center for Economic Research (RCER).
  13. 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.
  14. Ben-Porath, Elchanan & Gilboa, Itzhak & Schmeidler, David, 1997. "On the Measurement of Inequality under Uncertainty," Journal of Economic Theory, Elsevier, vol. 75(1), pages 194-204, July.
  15. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July.
  16. David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
  17. Marinacci, Massimo, 1998. "An Axiomatic Approach to Complete Patience and Time Invariance," Journal of Economic Theory, Elsevier, vol. 83(1), pages 105-144, November.
  18. repec:hal:cesptp:halshs-00085940 is not listed on IDEAS
  19. Thibault Gajdos & Eric Maurin, 2002. "Unequal uncertainties and uncertain inequalities: an axiomatic approach," ICER Working Papers - Applied Mathematics Series 15-2003, ICER - International Centre for Economic Research, revised Mar 2003.
  20. Mukerji, Sujoy & Tallon, Jean-Marc, 2003. "Ellsberg's two-color experiment, portfolio inertia and ambiguity," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 299-316, June.
  21. Tallon, Jean-Marc & Dana, Rose-Anne & Chateauneuf, Alain, 2000. "Optimal risk-sharing rules and equilibria with Choquet-expected-utility," Economics Papers from University Paris Dauphine 123456789/5461, Paris Dauphine University.
  22. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  23. D. W. Carlton, 1976. "Vertical Integration in Competitive Markets Under Uncertainty," Working papers 174, Massachusetts Institute of Technology (MIT), Department of Economics.
  24. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
  25. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  26. repec:hal:cesptp:halshs-00451997 is not listed on IDEAS
  27. Zengjing Chen & Larry G. Epstein, 2000. "Ambiguity, risk and asset returns in continuous time," RCER Working Papers 474, University of Rochester - Center for Economic Research (RCER).
  28. Grabisch, Michel, 1996. "The application of fuzzy integrals in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 89(3), pages 445-456, March.
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Citations

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Cited by:
  1. Massimo Guidolin & Francesca Rinaldi, 2010. "A simple model of trading and pricing risky assets under ambiguity: any lessons for policy-makers?," Applied Financial Economics, Taylor & Francis Journals, vol. 20(1-2), pages 105-135.
  2. repec:hal:wpaper:halshs-00586883 is not listed on IDEAS
  3. Azrieli, Yaron & Teper, Roee, 2009. "Uncertainty aversion and equilibrium existence in games with incomplete information," MPRA Paper 17617, University Library of Munich, Germany.
  4. Matthias Lang & Achim Wambach, 2010. "The fog of fraud – mitigating fraud by strategic ambiguity," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2010_24, Max Planck Institute for Research on Collective Goods.
  5. repec:hal:wpaper:halshs-00749500 is not listed on IDEAS
  6. Sujoy Mukerji, 2009. "Foundations of ambiguity and economic modeling," Economics Series Working Papers 433, University of Oxford, Department of Economics.
  7. repec:hal:journl:halshs-00341174 is not listed on IDEAS
  8. Massimiliano Amarante & Mario Ghossoub & Edmund Phelps, 2012. "Contracting for Innovation under Knightian Uncertainty," Cahiers de recherche 18-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  9. 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.
  10. Jonathan E. Alevy, 2011. "Ambiguity in Individual Choice and Market Environments: On the Importance of Comparative Ignorance," Working Papers 2011-04, University of Alaska Anchorage, Department of Economics.
  11. Riedel, Frank & Sass, Linda, 2013. "Ellsberg Games," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 80012, Verein für Socialpolitik / German Economic Association.
  12. repec:hal:journl:halshs-00442861 is not listed on IDEAS
  13. Mandler, Michael, 2013. "Endogenous indeterminacy and volatility of asset prices under ambiguity," Theoretical Economics, Econometric Society, vol. 8(3), September.
  14. Olivier L’Haridon & Lætitia Placido, 2010. "Betting on Machina’s reflection example: an experiment on ambiguity," Theory and Decision, Springer, vol. 69(3), pages 375-393, September.
  15. Eisei Ohtaki & Hiroyuki Ozaki, 2013. "Monetary Equilibria and Knightian Uncertainty," Keio/Kyoto Joint Global COE Discussion Paper Series 2012-032, Keio/Kyoto Joint Global COE Program.
  16. Amarante, M & Ghossoub, M & Phelps, E, 2013. "Innovation, Entrepreneurship and Knightian Uncertainty," Working Papers 12241, Imperial College, London, Imperial College Business School.
  17. Paul Viefers, 2012. "Should I Stay or Should I Go?: A Laboratory Analysis of Investment Opportunities under Ambiguity," Discussion Papers of DIW Berlin 1228, DIW Berlin, German Institute for Economic Research.

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