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Monotone Comparative Statics Under Uncertainty

  • Susan Athey

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. © 2001 the President and Fellows of Harvard College and the Massachusetts Institute of Technology

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Article provided by MIT Press in its journal The Quarterly Journal of Economics.

Volume (Year): 117 (2002)
Issue (Month): 1 (February)
Pages: 187-223

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Handle: RePEc:tpr:qjecon:v:117:y:2002:i:1:p:187-223
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  1. Kogan, Leonid & Ross, Stephen & Wang, Jiang & Westerfield, Mark, 2003. "The Price Impact and Survival of Irrational Traders," Working papers 4293-03, Massachusetts Institute of Technology (MIT), Sloan School of Management.
  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. 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.
  4. 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.
  5. 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.
  6. 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.
  7. Ormiston, Michael B. & Schlee, Edward E., 1992. "Necessary conditions for comparative statics under uncertainty," Economics Letters, Elsevier, vol. 40(4), pages 429-434, December.
  8. Dewatripont, Mathias & Legros, Patrick & Matthews, Steven A, 2002. "Moral Hazard and Capital Structure Dynamics," CEPR Discussion Papers 3487, C.E.P.R. Discussion Papers.
  9. Ignacio Esponda, 2008. "Behavioral Equilibrium in Economies with Adverse Selection," American Economic Review, American Economic Association, vol. 98(4), pages 1269-91, September.
  10. 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.
  11. Jorge Ibarra-Salazar, 2005. "The Newsboy Model: Changes in Risk and Price," The Geneva Papers on Risk and Insurance Theory, Springer, vol. 30(1), pages 99-109, June.
  12. 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.
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