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Monotone Comparative Statics Under Uncertainty

  • Athey, Susan

This paper analyzes monotone comparative statics predictions in several classes of stochastic optimization problems. The main results characterize necessary and sufficient conditions for comparative statics predictions to hold based on properties of primitive functions, that is, utility functions and probability distributions. The results apply when the primitives satisfy one of the following two properties: (i) a single-crossing property, which arises in applications such as portfolio investment problems and auctions, or (ii) log-supermodularity, which arises in the analysis of demand functions, affiliated random variables, stochastic orders, and orders over risk aversion.

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File URL: http://dash.harvard.edu/bitstream/handle/1/3372263/Athey_MonotoneComparative.pdf
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Paper provided by Harvard University Department of Economics in its series Scholarly Articles with number 3372263.

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Date of creation: 2002
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Publication status: Published in Quarterly Journal of Economics -Cambridge Massachusetts-
Handle: RePEc:hrv:faseco:3372263
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  1. John Quiggin & Robert G. Chambers, 2003. "Comparative statics for state-contingent technologies," Risk & Uncertainty Working Papers WPR03_5, Risk and Sustainable Management Group, University of Queensland.
  2. Roosen, Jutta & Hennessy, David A., 2001. "Tests For The Role Of Risk Aversion On Input Use," 2001 Annual meeting, August 5-8, Chicago, IL 20498, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  3. Mathias Dewatripont & Patrick Legros & Steven A. Matthews, 2003. "Moral Hazard and Capital Structure Dynamics," PIER Working Paper Archive 03-006, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  4. Alexander E. Saak, 2003. "Spatial and Temporal Marketing Considerations under Marketing Loan Programs," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(4), pages 872-887.
  5. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December.
  6. Leonid Kogan & Stephen Ross & Jiang Wang & Mark Westerfield, 2003. "The Price Impact and Survival of Irrational Traders," NBER Working Papers 9434, National Bureau of Economic Research, Inc.
  7. Paul R. Milgrom, 1979. "Good Nevs and Bad News: Representation Theorems and Applications," Discussion Papers 407R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Eeckhoudt, Louis & Gollier, Christian, 1995. "Demand for Risky Assets and the Monotone Probability Ratio Order," Journal of Risk and Uncertainty, Springer, vol. 11(2), pages 113-22, September.
  9. Jorge Ibarra-Salazar, 2005. "The Newsboy Model: Changes in Risk and Price," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 30(1), pages 99-109, June.
  10. Ignacio Esponda, 2008. "Behavioral Equilibrium in Economies with Adverse Selection," American Economic Review, American Economic Association, vol. 98(4), pages 1269-91, September.
  11. Ormiston, Michael B. & Schlee, Edward E., 1992. "Necessary conditions for comparative statics under uncertainty," Economics Letters, Elsevier, vol. 40(4), pages 429-434, December.
  12. Ormiston Michael B. & Schlee Edward E., 1993. "Comparative Statics under Uncertainty for a Class of Economic Agents," Journal of Economic Theory, Elsevier, vol. 61(2), pages 412-422, December.
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