Optimal delegation with multi-dimensional decisions
This paper investigates optimal mechanisms in a principal–agent framework with a two-dimensional decision space, quadratic payoffs and no monetary transfers. If the conflicts of interest between the principal and the agent are different on each dimension, then delegation is always strictly valuable. The principal can better extract information from the agent by using the spread between the two decisions as a costly screening device. Delegation sets no longer trade off pooling intervals and intervals of full discretion but instead take more complex shapes. We use advanced results from the calculus of variations to ensure existence of a solution and derive sufficient and necessary conditions for optimality. The optimal mechanism is continuous and deterministic. The agentʼs informational rent, the average decision and its spread are strictly monotonic in the agentʼs type. The comparison of the optimal mechanism with standard one-dimensional mechanisms shows how cooperation between different principals controlling various dimensions of the agentʼs activities facilitates information revelation.
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.
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.
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.:
- Crawford, Vincent P & Sobel, Joel, 1982.
"Strategic Information Transmission,"
Econometric Society, vol. 50(6), pages 1431-51, November.
- Ricardo Alonso & Niko Matouschek, 2008.
Review of Economic Studies,
Oxford University Press, vol. 75(1), pages 259-293.
- Ricardo Alonso & Wouter Dessein & Niko Matouschek, 2008. "When Does Coordination Require Centralization? Corrigendum," American Economic Review, American Economic Association, vol. 98(3), pages 1195-96, June.
- Marco Battaglini, 2002.
"Multiple Referrals and Multidimensional Cheap Talk,"
Econometric Society, vol. 70(4), pages 1379-1401, July.
- Marco Battaglini, 1999. "Multiple Referrals and Multidimensional Cheap Talk," Discussion Papers 1295, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Marco Battaglini, 2000. "Multiple Referrals and Multidimensional Cheap Talk," Econometric Society World Congress 2000 Contributed Papers 1557, Econometric Society.
- Gilat Levy & Ronny Razin, 2007. "On the Limits of Communication in Multidimensional Cheap Talk: A Comment," Econometrica, Econometric Society, vol. 75(3), pages 885-893, 05.
- Kovác, Eugen & Mylovanov, Tymofiy, 2009. "Stochastic mechanisms in settings without monetary transfers: The regular case," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1373-1395, July.
- Battaglini Marco, 2004. "Policy Advice with Imperfectly Informed Experts," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 4(1), pages 1-34, April.
- Martimort, David & Semenov, Aggey, 2006. "Continuity in mechanism design without transfers," Economics Letters, Elsevier, vol. 93(2), pages 182-189, November.
- Alonso, Ricardo & Dessein, Wouter & Matouschek, Niko, 2006.
"When Does Coordination Require Centralization?,"
CEPR Discussion Papers
5802, C.E.P.R. Discussion Papers.
- Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
- Rochet, J. C., 1985. "The taxation principle and multi-time Hamilton-Jacobi equations," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 113-128, April.
- McCubbins, Mathew D & Noll, Roger G & Weingast, Barry R, 1987. "Administrative Procedures as Instruments of Political Control," Journal of Law, Economics and Organization, Oxford University Press, vol. 3(2), pages 243-77, Fall.
- Lewis, Tracy R & Sappington, David E M, 1989. "Inflexible Rules in Incentive Problems," American Economic Review, American Economic Association, vol. 79(1), pages 69-84, March.
- Garcia, Diego, 2005. "Monotonicity in direct revelation mechanisms," Economics Letters, Elsevier, vol. 88(1), pages 21-26, July.
- Nahum D. Melumad & Toshiyuki Shibano, 1991. "Communication in Settings with No. Transfers," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 173-198, Summer.
- Harris, Milton & Raviv, Artur, 1996. " The Capital Budgeting Process: Incentives and Information," Journal of Finance, American Finance Association, vol. 51(4), pages 1139-74, September.
- Austen-Smith David, 1993. "Interested Experts and Policy Advice: Multiple Referrals under Open Rule," Games and Economic Behavior, Elsevier, vol. 5(1), pages 3-43, January.
- Farrell, J. & Gibbons, R., 1989.
"Cheap Talk With Two Audiences,"
518, Massachusetts Institute of Technology (MIT), Department of Economics.
- Archishman Chakraborty & Rick Harbaugh, 2004.
"Comparative Cheap Talk,"
2004-08, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
- Maria Goltsman & Gregory Pavlov, 2008.
"How to Talk to Multiple Audiences,"
UWO Department of Economics Working Papers
20081, University of Western Ontario, Department of Economics.
- Hanming Fang & Peter Norman, 2008.
"Optimal Provision of Multiple Excludable Public Goods,"
NBER Working Papers
13797, National Bureau of Economic Research, Inc.
- Hanming Fang & Peter Norman, 2010. "Optimal Provision of Multiple Excludable Public Goods," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 1-37, November.
- Hanming Fang & Peter Norman, 2003. "Optimal Provision of Multiple Excludable Public Goods," Cowles Foundation Discussion Papers 1441R, Cowles Foundation for Research in Economics, Yale University, revised Apr 2006.
- Dessein, Wouter, 2002.
"Authority and Communication in Organizations,"
Review of Economic Studies,
Wiley Blackwell, vol. 69(4), pages 811-38, October.
- Wouter Dessein, 2000. "Authority and Communication in Organizations," Econometric Society World Congress 2000 Contributed Papers 1747, Econometric Society.
- Richard Arnott & Joseph E Stiglitz, 2010.
"Randomization with Asymmetric Information,"
Levine's Working Paper Archive
2054, David K. Levine.
- Vijay Krishna & John Morgan, 1999.
"A Model of Expertise,"
Game Theory and Information
- Vijay Krishna & John Morgan, 1999. "A Model of Expertise," Working Papers 154, Princeton University, Woodrow Wilson School of Public and International Affairs, Discussion Papers in Economics..
- Krishna, V. & Morgan, J., 1999. "A Model of Expertise," Papers 206, Princeton, Woodrow Wilson School - Public and International Affairs.
- Ambrus, Attila & Takahashi, Satoru, 2008.
"Multi-sender cheap talk with restricted state spaces,"
Econometric Society, vol. 3(1), March.
- Takahashi, Satoru & Ambrus, Attila, 2008. "Multi-Sender Cheap Talk with Restricted State Spaces," Scholarly Articles 3200263, Harvard University Department of Economics.
- Martimort, David & Semenov, Aggey, 2008.
"The informational effects of competition and collusion in legislative politics,"
Journal of Public Economics,
Elsevier, vol. 92(7), pages 1541-1563, July.
- Martimort, David & Semenov, Aggey, 2008. "The Informational Effects of Competition and Collusion in Legislative Politics," MPRA Paper 6989, University Library of Munich, Germany.
- Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
- Mirrlees, James A, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Wiley Blackwell, vol. 38(114), pages 175-208, April.
- Lewis, Tracy R. & Sappington, David E. M., 1989. "Countervailing incentives in agency problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 294-313, December.
- Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
- Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
- Goltsman, Maria & Hörner, Johannes & Pavlov, Gregory & Squintani, Francesco, 2009. "Mediation, arbitration and negotiation," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1397-1420, July.
When requesting a correction, please mention this item's handle: RePEc:eee:jetheo:v:147:y:2012:i:5:p:1850-1881. 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: (Zhang, Lei)
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.