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Contractive Dual Methods for Incentive Problems

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  • Matthias Messner
  • Nicola Pavoni
  • Christopher Sleet

Abstract

Several recent papers have proposed recursive Lagrangian-basedmethods for solving dynamic contracting problems. Thesemethods 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. JEL codes: C61, C73, D82, E61. Keywords: Dynamic Contracts, Duality, Dynamic Programming, Contraction Mapping Theorem.

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Paper provided by IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University in its series Working Papers with number 466.

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Date of creation: 2012
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Handle: RePEc:igi:igierp:466

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  1. Duran, Jorge, 1997. "On dynamic programming with unbounded returns," CEPREMAP Working Papers (Couverture Orange) 9710, CEPREMAP.
  2. Nicola Pavoni & Ramon Marimon & Matthias Messner, 2005. "On the Recursive Saddle Point Method," 2005 Meeting Papers 294, Society for Economic Dynamics.
  3. 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.
  4. Werning, Ivan & Farhi, Emmanuel, 2007. "Inequality and Social Discounting," Scholarly Articles 3451391, Harvard University Department of Economics.
  5. 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).
  6. Mele, Antonio, 2011. "Repeated moral hazard and recursive Lagrangeans," MPRA Paper 30310, University Library of Munich, Germany.
  7. Felix Kubler & Harold L. Cole, 2011. "Recursive Contracts, Lotteries and Weakly Concave Pareto Sets," 2011 Meeting Papers 59, 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. Janusz Matkowski & Andrzej Nowak, 2011. "On discounted dynamic programming with unbounded returns," Economic Theory, Springer, vol. 46(3), pages 455-474, April.
  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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Cited by:
  1. Messner Matthias & Pavoni Nicola & Sleet Christopher, . "Recursive Methods for Dynamic Incentive Problems," GSIA Working Papers 2012-E13, Carnegie Mellon University, Tepper School of Business.
  2. Matthias Messner & Nicola Pavoni & Christopher Sleet, 2011. "Recursive methods for incentive problems," Working Papers 381, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

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