Dynamic mechanism design with hidden income and hidden actions
AbstractWe develop general recursive methods to solve for optimal contracts in dynamic principal-agent environments with hidden states and hidden actions. In our baseline model, the principal observes nothing other than transfers. Nevertheless, optimal incentive-constrained insurance can be attained. We show that the optimal contract can be implemented as a recursive direct mechanism with a vector of utility promises as the state variable. The standard recursive formulation suffers from a curse of dimensionality that arises from the interaction of hidden income and hidden actions; this curse can be overcome by introducing judiciously chosen utility bounds for deviation behaviour off the equilibrium path. Our methods generalize to environments with multiple actions and additional states. The key to implementing these extensions is to introduce multiple layers of off-path utility bounds.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 126 (2006)
Issue (Month): 1 (January)
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Web page: http://www.elsevier.com/locate/inca/622869
Other versions of this item:
- Matthias Doepke & Robert M. Townsend, 2002. "Dynamic Mechanism Design With Hidden Income and Hidden Actions," UCLA Economics Working Papers 818, UCLA Department of Economics.
- Doepke, Matthias & Townsend, Robert M, 2004. "Dynamic Mechanism Design with Hidden Income and Hidden Auctions," CEPR Discussion Papers 4455, C.E.P.R. Discussion Papers.
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
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- Drew Fudenberg & Bengt Holmstrom & Paul Milgrom, 1987.
"Short-Term Contracts and Long-Term Agency Relationships,"
468, Massachusetts Institute of Technology (MIT), Department of Economics.
- Fudenberg, Drew & Holmstrom, Bengt & Milgrom, Paul, 1990. "Short-term contracts and long-term agency relationships," Journal of Economic Theory, Elsevier, vol. 51(1), pages 1-31, June.
- Harold L. Cole & Narayana R. Kocherlakota, 1997.
"Dynamic games with hidden actions and hidden states,"
583, Federal Reserve Bank of Minneapolis.
- Cole, Harold L. & Kocherlakota, Narayana, 2001. "Dynamic Games with Hidden Actions and Hidden States," Journal of Economic Theory, Elsevier, vol. 98(1), pages 114-126, May.
- Harold L. Cole & Narayana Kocherlakota, 1998. "Dynamic games with hidden actions and hidden states," Staff Report 254, Federal Reserve Bank of Minneapolis.
- Allen, Franklin, 1985. "Repeated principal-agent relationships with lending and borrowing," Economics Letters, Elsevier, vol. 17(1-2), pages 27-31.
- Wang, Cheng, 1995. "Dynamic Insurance with Private Information and Balanced Budgets," Staff General Research Papers 5249, Iowa State University, Department of Economics.
- Wang, Cheng, 1995. "Dynamic Insurance with Private Information and Balanced Budgets," Review of Economic Studies, Wiley Blackwell, vol. 62(4), pages 577-95, October.
- Dilip Abreu & David Pearce & Ennio Stacchetti, 2010. "Towards a Theory of Discounted Repeated Games with Imperfect Monitoring," Levine's Working Paper Archive 199, David K. Levine.
- Narayana Kocherlakota, 2010.
"Figuring out the impact of hidden savings on optimal unemployment insuranc,"
Levine's Working Paper Archive
506439000000000291, David K. Levine.
- Narayana Kocherlakota, 2004. "Figuring out the Impact of Hidden Savings on Optimal Unemployment Insurance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 541-554, July.
- Ana Fernandes & Christopher Phelan, 1999.
"A recursive formulation for repeated agency with history dependence,"
259, Federal Reserve Bank of Minneapolis.
- Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
- Myerson, Roger B, 1979.
"Incentive Compatibility and the Bargaining Problem,"
Econometric Society, vol. 47(1), pages 61-73, January.
- Roger B. Myerson, 1977. "Incentive Compatability and the Bargaining Problem," Discussion Papers 284, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-63, September.
- Cole, Harold L & Kocherlakota, Narayana R, 2001.
"Efficient Allocations with Hidden Income and Hidden Storage,"
Review of Economic Studies,
Wiley Blackwell, vol. 68(3), pages 523-42, July.
- Harold L. Cole & Narayana R. Kocherlakota, 1999. "Efficient allocations with hidden income and hidden storage," Staff Report 238, Federal Reserve Bank of Minneapolis.
- Harold L Cole & Narayana Kocherlakota, 2010. "Efficient Allocations with Hidden Income and Hidden Storage," Levine's Working Paper Archive 1909, David K. Levine.
- Kenneth L. Judd & Sevin Yeltekin & James Conklin, 2003. "Computing Supergame Equilibria," Econometrica, Econometric Society, vol. 71(4), pages 1239-1254, 07.
- Spear, Stephen E & Srivastava, Sanjay, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Wiley Blackwell, vol. 54(4), pages 599-617, October.
- Townsend, Robert M, 1982. "Optimal Multiperiod Contracts and the Gain from Enduring Relationships under Private Information," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1166-86, 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.
- Harris Milton & Townsend, Robert M, 1981. "Resource Allocation under Asymmetric Information," Econometrica, Econometric Society, vol. 49(1), pages 33-64, January.
- Robert Townsend, 1979.
"Optimal contracts and competitive markets with costly state verification,"
45, Federal Reserve Bank of Minneapolis.
- Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
- Roger B. Myerson, 1984.
"Multistage Games with Communication,"
590, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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