IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/32887.html
   My bibliography  Save this paper

A necessary and sufficient condition for non-smooth linear-state optimal control problems

Author

Listed:
  • Martimort, David
  • Stole, Lars

Abstract

We present a set of necessary and sufficient conditions for a class of optimal control problems with pure state constraints for which the objective function is linear in the state variable but the objective function is otherwise only restricted to be upper semicontinuous in the control variable.

Suggested Citation

  • Martimort, David & Stole, Lars, 2009. "A necessary and sufficient condition for non-smooth linear-state optimal control problems," MPRA Paper 32887, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:32887
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/32887/1/MPRA_paper_32887.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jullien, Bruno, 2000. "Participation Constraints in Adverse Selection Models," Journal of Economic Theory, Elsevier, vol. 93(1), pages 1-47, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Péter Eso & Balázs Szentes, 2004. "The Price of Advice," Discussion Papers 1416, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Dirk Bergemann & Alessandro Bonatti, 2024. "Data, Competition, and Digital Platforms," American Economic Review, American Economic Association, vol. 114(8), pages 2553-2595, August.
    3. Brett, Craig & Weymark, John A., 2016. "Voting over selfishly optimal nonlinear income tax schedules with a minimum-utility constraint," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 18-31.
    4. Renato Gomes & Alessandro Pavan, 2013. "Cross-Subsidization and Matching Design," Discussion Papers 1559, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Isabelle Brocas, 2005. "Multistage Contracting with Applications to R&D and Insurance Policies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(2), pages 317-346, May.
    6. Schmitz, Patrick W., 2002. "On Monopolistic Licensing Strategies under Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 106(1), pages 177-189, September.
    7. Péter Eső & Balázs Szentes, 2007. "The price of advice," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 863-880, December.
    8. Jebsi, Khaireddine & Thomas, Lionel, 2004. "Optimal pricing for selling a congestible good with countervailing incentives," Economics Letters, Elsevier, vol. 83(2), pages 251-256, May.
    9. Inderst, Roman, 2004. "Contractual distortions in a market with frictions," Journal of Economic Theory, Elsevier, vol. 116(1), pages 155-176, May.
    10. Joaquín Coleff, 2020. "Can consumer complaints reduce product reliability? Should we worry?," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 29(1), pages 74-96, January.
    11. Paul Beaudry & Charles Blackorby & Dezsö Szalay, 2009. "Taxes and Employment Subsidies in Optimal Redistribution Programs," American Economic Review, American Economic Association, vol. 99(1), pages 216-242, March.
    12. Orazio Attanasio & Elena Pastorino, 2020. "Nonlinear Pricing in Village Economies," Econometrica, Econometric Society, vol. 88(1), pages 207-263, January.
    13. Francisco J. Gomes & Laurence J. Kotlikoff & Luis M. Viceira, 2012. "The Excess Burden of Government Indecision," NBER Chapters, in: Tax Policy and the Economy, Volume 26, pages 125-163, National Bureau of Economic Research, Inc.
    14. Gwenaël Piaser, 2014. "Common Agency Games with Common Value Exclusion, Convexity and Existence," Working Papers 2014-420, Department of Research, Ipag Business School.
    15. Daniel Krähmer & Roland Strausz, 2023. "Optimal Nonlinear Pricing with Data-Sensitive Consumers," American Economic Journal: Microeconomics, American Economic Association, vol. 15(2), pages 80-108, May.
    16. Brocas, Isabelle, 2014. "Countervailing incentives in allocation mechanisms with type-dependent externalities," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 22-33.
    17. Marco de Pinto & Jörg Lingens, 2019. "Unionization, information asymmetry and the de‐location of firms," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 52(4), pages 1782-1823, November.
    18. Paulo Barelli & Suren Basov & Mauricio Bugarin & Ian King, 2012. "The Robustness of Exclusion in Multi-dimensional Screening," RCER Working Papers 571, University of Rochester - Center for Economic Research (RCER).
    19. Martimort, David & Pouyet, Jérôme & Trégouët, Thomas, 2021. "Contracts as a barrier to entry: Impact of Buyer’s asymmetric information and bargaining power," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    20. Fabian Herweg & Daniel Müller, 2014. "Price Discrimination in Input Markets: Quantity Discounts and Private Information," Economic Journal, Royal Economic Society, vol. 124(577), pages 776-804, June.

    More about this item

    Keywords

    Optimal control; non-smooth optimization; convex analysis;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:32887. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.