IDEAS home Printed from https://ideas.repec.org/p/mit/worpap/96-22.html
   My bibliography  Save this paper

Comparative Statics under Uncertainty : Single Crossing Properties and Log-Supermodularity

Author

Abstract

This paper develops necessary and sufficient conditions for monotone comparative statics predictions in several general classes of stochastic optimization problems. There are two main results, where the first pertains to single crossing properties (of marginal returns, incremental returns, and indifference curves) in stochastic problems with a single random variable, and the second class involves log-supermodularity of functions with multiple random variables (where log-supermodularity of a density corresponds to the property affiliation from auction theory).

Suggested Citation

  • Athey, S, 1996. "Comparative Statics under Uncertainty : Single Crossing Properties and Log-Supermodularity," Working papers 96-22, Massachusetts Institute of Technology (MIT), Department of Economics.
    • Handle: RePEc:mit:worpap:96-22
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lones Smith, 2000. "Private Information and Trade Timing," American Economic Review, American Economic Association, vol. 90(4), pages 1012-1018, September.
    2. Athey, Susan & Levin, Jonathan, 2018. "The value of information in monotone decision problems," Research in Economics, Elsevier, vol. 72(1), pages 101-116.
    3. Hennessy, David A., 1997. "The short- and long-run comparative statics of uncertainty," Economics Letters, Elsevier, vol. 55(3), pages 347-353, September.
    4. Federico Echenique, 2002. "Comparative Statics by Adaptive Dynamics and the Correspondence Principle," Econometrica, Econometric Society, vol. 70(2), pages 833-844, March.
    5. Michal Szkup, 2022. "Preventing Self-Fulfilling Debt Crises: A Global Games Approach," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 43, pages 22-55, January.
    6. Mathias Dewatripont & Patrick Legros & Steven A. Matthews, 2003. "Moral Hazard and Capital Structure Dynamics," Journal of the European Economic Association, MIT Press, vol. 1(4), pages 890-930, June.
    7. Susan Athey & Scott Stern, 1998. "An Empirical Framework for Testing Theories About Complimentarity in Organizational Design," NBER Working Papers 6600, National Bureau of Economic Research, Inc.
    8. Szkup, Michal, 2017. "Preventing Self-fulfilling debt crises," MPRA Paper 82754, University Library of Munich, Germany.
    9. Troyan, Peter, 2017. "Collusion and signaling in auctions with interdependent values," Journal of Economic Theory, Elsevier, vol. 170(C), pages 319-345.
    10. Jorge Ibarra-Salazar, 2005. "The Newsboy Model: Changes in Risk and Price," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 30(1), pages 99-109, June.
    11. Athey, Susan. & Stern, Scott, 1969-, 1998. "An empirical framework for testing theories about complementarity in orgaziational design," Working papers WP 4022-98., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    12. Saak, Alexander E. & Hennessy, David A., 2001. "Location, Land Quality, And Rental Volatility," 2001 Annual meeting, August 5-8, Chicago, IL 20747, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    13. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, Oxford University Press, vol. 117(1), pages 187-223.
    14. McAdams, David, 2002. "Isotone Equilibrium in Games of Incomplete Information," Working papers 4248-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    15. Michal Szkup, 2015. "Preventing Self-Fulfilling Crises," 2015 Meeting Papers 1144, Society for Economic Dynamics.
    16. Steven Matthews, 2002. "Moral Hazard and Capital Structure Dynamics (joint with Mathias Dewatripont and Patrick Legros) Note the special time," Theory workshop papers 357966000000000095, UCLA Department of Economics.
    17. Ghossoub, Mario, 2010. "Supplement to "Belief heterogeneity in the Arrow-Borch-Raviv insurance model"," MPRA Paper 37717, University Library of Munich, Germany, revised 22 Mar 2012.

    More about this item

    Keywords

    STATISTICS ; DECISION MAKING ; RISK ; UNCERTAINTY;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:mit:worpap:96-22. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Linda Woodbury (email available below). General contact details of provider: https://edirc.repec.org/data/edmitus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.