IDEAS home Printed from https://ideas.repec.org/a/bpj/bejtec/v20y2020i1p13n24.html
   My bibliography  Save this article

Optimal Forestry Contract with Interdependent Costs

Author

Listed:
  • Didier Tatoutchoup Francis

    (École des hautes études publiques (HEP), Université de Moncton, Postal: 18 avenue Antonine-Maillet, Moncton, NB, E1A 3E9, Canada)

  • Samuel Njiki Paul

    (TD Insurance, Université de Montréal, Québec, Montréal, Canada)

Abstract

This article determines an optimal forestry contract when firms’ harvesting costs are interdependent. The value of the optimal allocation depends on the private signals of all firms. We show that the optimal rotation of the winning firm must satisfy a modified version of the usual Faustmann rule, which holds under perfect information. This modification is necessary in order to induce the revelation of private signals on the part of all participating firms. We find conditions under which the optimal mechanism can be implemented as a second-price auction. The optimal rotation period and the reservation price are derived. Theoretically and numerically, we show that the predicted forest owner surplus is considerably misestimated under the independent private value paradigm and the predicted forest owner profit is more affected when the interdependence is negative.

Suggested Citation

  • Didier Tatoutchoup Francis & Samuel Njiki Paul, 2020. "Optimal Forestry Contract with Interdependent Costs," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 20(1), pages 1-13, January.
  • Handle: RePEc:bpj:bejtec:v:20:y:2020:i:1:p:13:n:24
    DOI: 10.1515/bejte-2016-0058
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/bejte-2016-0058
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.

    File URL: https://libkey.io/10.1515/bejte-2016-0058?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jean-Jacques Laffont & Jean Tirole, 1993. "A Theory of Incentives in Procurement and Regulation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121743, April.
    2. Paarsch, Harry J., 1997. "Deriving an estimate of the optimal reserve price: An application to British Columbian timber sales," Journal of Econometrics, Elsevier, vol. 78(2), pages 333-357, June.
    3. Francis Didier Tatoutchoup, 2015. "Optimal Forestry Contracts under Asymmetry of Information," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(1), pages 84-107, January.
    4. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    5. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
    6. Tatoutchoup, Francis Didier, 2017. "Forestry auctions with interdependent values: Evidence from timber auctions," Forest Policy and Economics, Elsevier, vol. 80(C), pages 107-115.
    7. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    8. McAfee, R Preston & McMillan, John & Reny, Philip J, 1989. "Extracting the Surplus in the Common-Value Auction," Econometrica, Econometric Society, vol. 57(6), pages 1451-1459, November.
    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. Liu, Heng, 2018. "Efficient dynamic mechanisms in environments with interdependent valuations: the role of contingent transfers," Theoretical Economics, Econometric Society, vol. 13(2), May.
    2. Fernando Branco, 1996. "Common value auctions with independent types," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 283-309, December.
    3. Gorkem Celik & Dongsoo Shin & Roland Strausz, 2021. "Public good overprovision by a manipulative provider," RAND Journal of Economics, RAND Corporation, vol. 52(2), pages 314-333, June.
    4. Charles Angelucci & Antonio Russo, 2022. "Petty Corruption And Citizen Reports," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(2), pages 831-848, May.
    5. Dirk Bergemann & Juuso Välimäki, 2019. "Dynamic Mechanism Design: An Introduction," Journal of Economic Literature, American Economic Association, vol. 57(2), pages 235-274, June.
    6. Eshien Chong & Freddy Huet, 2009. "Yardstick Competition, Franchise Bidding and Firms’ Incentives to Collude," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 35(1), pages 149-169, September.
    7. Faure-Grimaud, Antoine & Reiche, Sönje Kerrin, 2003. "Dynamic Yardstick Regulation," CEPR Discussion Papers 4035, C.E.P.R. Discussion Papers.
    8. Boyer, Marcel, 2003. "Competition and the reform of incentive schemes in the regulated sector," Journal of Public Economics, Elsevier, vol. 87(7-8), pages 1353-1381, August.
    9. Aviad Heifetz & Zvika Neeman, 2006. "On the Generic (Im)Possibility of Full Surplus Extraction in Mechanism Design," Econometrica, Econometric Society, vol. 74(1), pages 213-233, January.
    10. Suzanne Scotchmer., 1999. "Delegating Investment in a Common-Value Project," Economics Working Papers E99-266, University of California at Berkeley.
    11. Ronald M. Harstad, 2005. "Rational Participation Revolutionizes Auction Theory," Working Papers 0504, Department of Economics, University of Missouri.
    12. Hyoung-Goo Kang & Richard M. Burton & Will Mitchell, 2021. "How firm boundaries and relatedness jointly affect diversification value: trade-offs between governance and flexibility," Computational and Mathematical Organization Theory, Springer, vol. 27(1), pages 1-34, March.
    13. Liu, Tingjun, 2016. "Optimal equity auctions with heterogeneous bidders," Journal of Economic Theory, Elsevier, vol. 166(C), pages 94-123.
    14. Abhishek, Vineet & Hajek, Bruce & Williams, Steven R., 2013. "Auctions with a profit sharing contract," Games and Economic Behavior, Elsevier, vol. 77(1), pages 247-270.
    15. Vlad Mares & Ronald Harstad, 2007. "Ex-post full surplus extraction, straightforwardly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(2), pages 399-410, August.
    16. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2016. "Informationally Robust Optimal Auction Design," Cowles Foundation Discussion Papers 2065, Cowles Foundation for Research in Economics, Yale University.
    17. Lucia Quesada, 2003. "Modeling collusion as an informed principal problem," Game Theory and Information 0304002, University Library of Munich, Germany.
    18. Faure-Grimaud, Antoine & Reiche, Sonje, 2003. "Dynamic yardstick regulation," LSE Research Online Documents on Economics 19319, London School of Economics and Political Science, LSE Library.
    19. Page Jr., Frank H., 1998. "Existence of optimal auctions in general environments," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 389-418, May.
    20. Herweg, Fabian & Schmidt, Klaus M., 2020. "Bayesian implementation and rent extraction in a multi-dimensional procurement problem," International Journal of Industrial Organization, Elsevier, vol. 70(C).

    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:bpj:bejtec:v:20:y:2020:i:1:p:13:n:24. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.