IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this article

Normative properties of stock market equilibrium with moral hazard

  • Magill, Michael
  • Quinzii, Martine

This paper presents a model of stock market equilibrium with a finite number of corporations and studies its normative properties. Each firm is run by a manager whose effort is unobservable and influences the probabilities of the firm's outcomes. The Board of Directors of each firm chooses an incentive contract for the manager which maximizes the firm's market value. With a finite number of firms, the equilibrium is constrained Pareto optimal only when investors are risk-neutral and firms' outcomes are independent. The inefficiencies which arise when investors are risk-averse, or when firms are influenced by a common shock, are studied and it is shown that under reasonable assumptions there is under investment in effort in equilibrium. The inefficiencies exist when the firms are not completely negligible, as is typical of the large corporations with dispersed ownership traded on public exchanges in the US. In the idealized case where firms of each type are replicated and replaced by a continuum of firms of each type with independent outcomes, the inefficiencies disappear.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 44 (2008)
Issue (Month): 7-8 (July)
Pages: 785-806

in new window

Handle: RePEc:eee:mateco:v:44:y:2008:i:7-8:p:785-806
Contact details of provider: Web page:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. P. Dubey & J. Geanakoplos, 2001. "Competitive Pooling: Rothschild-Stiglitz Reconsidered," Department of Economics Working Papers 01-10, Stony Brook University, Department of Economics.
  2. Prescott, Edward C & Townsend, Robert M, 1984. "General Competitive Analysis in an Economy with Private Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 1-20, February.
  3. Bisin, Alberto & Gottardi, Piero, 1997. "General Competitive Analysis with Asymmetric Information," Working Papers 97-38, C.V. Starr Center for Applied Economics, New York University.
  4. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, 01.
  5. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-67, November.
  6. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
  7. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
  8. Piero Gottardi & Alberto Bisin & Adriano Rampini, 2007. "Managerial Hedging and Portfolio Monitoring," Working Papers 2007_24, Department of Economics, University of Venice "Ca' Foscari".
  9. Viral V. Acharya & Alberto Bisin, 2009. "Managerial hedging, equity ownership, and firm value," RAND Journal of Economics, RAND Corporation, vol. 40(1), pages 47-77.
  10. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier.
  11. Marco LiCalzi & Sandrine Spaeter, 2003. "Distributions for the first-order approach to principal-agent problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 167-173, 01.
  12. Michael Magill & Martine Quinzii, 2006. "Common Shocks and Relative Compensation," Annals of Finance, Springer, vol. 2(4), pages 407-420, October.
  13. Alberto Bennardo & Pierre-Andre Chiappori, 2003. "Bertrand and Walras Equilibria Under Moral Hazard," Levine's Working Paper Archive 618897000000000748, David K. Levine.
  14. Dilip Mookherjee, 1984. "Optimal Incentive Schemes with Many Agents," Review of Economic Studies, Oxford University Press, vol. 51(3), pages 433-446.
  15. Murphy, Kevin J., 1999. "Executive compensation," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 38, pages 2485-2563 Elsevier.
  16. Luca, PANACCIONE, 2006. "Inefficiency of competitive equilibrium with hidden action and financial markets," Discussion Papers (ECON - Département des Sciences Economiques) 2006049, Université catholique de Louvain, Département des Sciences Economiques.
  17. Kocherlakota, Narayana R., 1998. "The effects of moral hazard on asset prices when financial markets are complete," Journal of Monetary Economics, Elsevier, vol. 41(1), pages 39-56, February.
  18. Marcos B. Lisboa, 2001. "Moral hazard and general equilibrium in large economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(3), pages 555-575.
  19. Magill, Michael & Quinzii, Martine, 2002. "Capital market equilibrium with moral hazard," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 149-190, September.
  20. Grossman, Sanford J & Hart, Oliver D, 1979. "A Theory of Competitive Equilibrium in Stock Market Economies," Econometrica, Econometric Society, vol. 47(2), pages 293-329, March.
  21. Prescott, Edward C & Townsend, Robert M, 1984. "Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 52(1), pages 21-45, January.
  22. Steinar Ekern & Robert Wilson, 1974. "On the Theory of the Firm in an Economy with Incomplete Markets," Bell Journal of Economics, The RAND Corporation, vol. 5(1), pages 171-180, Spring.
  23. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-90, September.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:44:y:2008:i:7-8:p:785-806. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)

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.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.