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Contractive Dual Methods for Incentive Problems

  • Matthias Messner
  • Nicola Pavoni
  • Christopher Sleet

Several recent papers have proposed recursive Lagrangian-based methods for solving dynamic contracting problems. These methods give rise to Bellman operators that incorporate either a dual inf-sup or a saddle point operation. We give conditions that ensure the Bellman operator implied by a dual recursive formulation is contractive.

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File URL: https://student-3k.tepper.cmu.edu/gsiadoc/wp/2012-E26.pdf
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Paper provided by Carnegie Mellon University, Tepper School of Business in its series GSIA Working Papers with number 2012-E26.

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Handle: RePEc:cmu:gsiawp:-2081994536
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Tepper School of Business, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213-3890

Web page: http://www.tepper.cmu.edu/

Order Information: Web: http://student-3k.tepper.cmu.edu/gsiadoc/GSIA_WP.asp

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  1. Matthias Messner & Nicola Pavoni, 2016. "On the Recursive Saddle Point Method," Dynamic Games and Applications, Springer, vol. 6(2), pages 161-173, June.
  2. Jorge DurÂn, 2000. "On dynamic programming with unbounded returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 339-352.
  3. Harold L. Cole & Felix Kubler, 2011. "Recursive Contracts, Lotteries and Weakly Concave Pareto Sets," NBER Working Papers 17064, National Bureau of Economic Research, Inc.
  4. V. Filipe Martins-da-Rocha & Yiannis Vailakis, 2010. "Existence and Uniqueness of a Fixed Point for Local Contractions," Econometrica, Econometric Society, vol. 78(3), pages 1127-1141, 05.
  5. Juan Pablo RincÛn-Zapatero & Carlos RodrÌguez-Palmero, 2003. "Existence and Uniqueness of Solutions to the Bellman Equation in the Unbounded Case," Econometrica, Econometric Society, vol. 71(5), pages 1519-1555, 09.
  6. Emmanuel Farhi & Iván Werning, 2007. "Inequality and Social Discounting," Journal of Political Economy, University of Chicago Press, vol. 115, pages 365-402.
  7. Antonio Mele, 2008. "Repeated Moral Hazard and Recursive Lagrangeans," 2008 Meeting Papers 482, Society for Economic Dynamics.
  8. Boud, John III, 1990. "Recursive utility and the Ramsey problem," Journal of Economic Theory, Elsevier, vol. 50(2), pages 326-345, April.
  9. Matthias Messner & Nicola Pavoni & Christopher Sleet, 2012. "Recursive Methods for Incentive Problems," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(4), pages 501-525, October.
  10. Janusz Matkowski & Andrzej Nowak, 2011. "On discounted dynamic programming with unbounded returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(3), pages 455-474, April.
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