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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
Contact details of provider: Postal: 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. Mele, Antonio, 2011. "Repeated moral hazard and recursive Lagrangeans," MPRA Paper 30310, University Library of Munich, Germany.
  2. Harold Cole & Felix Kubler, 2010. "Recursive Contracts, Lotteries and Weakly Concave Pareto Sets," PIER Working Paper Archive 10-038, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  3. Werning, Ivan & Farhi, Emmanuel, 2007. "Inequality and Social Discounting," Scholarly Articles 3451391, Harvard University Department of Economics.
  4. Boud, John III, 1990. "Recursive utility and the Ramsey problem," Journal of Economic Theory, Elsevier, vol. 50(2), pages 326-345, April.
  5. Matthias Messner & Nicola Pavoni, 2004. "On the Recursive Saddle Point Method," Working Papers 255, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  6. Vailakis, Yiannis & Martins-da-Rocha, Victor Filipe, 2008. "Existence and Uniqueness of a Fixed-Point for Local Contractions," Economics Working Papers (Ensaios Economicos da EPGE) 677, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  7. Matthias Messner & Nicola Pavoni & Christopher Sleet, 2011. "Recursive methods for incentive problems," Working Papers 381, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  8. Jorge DurÂn, 2000. "On dynamic programming with unbounded returns," Economic Theory, Springer, vol. 15(2), pages 339-352.
  9. Matkowski, Janusz & Nowak, Andrzej S., 2008. "On Discounted Dynamic Programming with Unbounded Returns," MPRA Paper 12215, University Library of Munich, Germany.
  10. 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.
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