IDEAS home Printed from
   My bibliography  Save this paper

Markets for emission permits with free endowment: a vintage capital analysis


  • BRECHET, Thierry

    () (Université catholique de Louvain, CORE and Louvain School of Management, Chair Lhoist Berghemans in Environmental Economics and Management, B-1348 Louvain-la-Neuve, Belgium)

  • TSACHEV, Tsvetomir

    () (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria)

  • VELIOV, Vladimir

    () (ORCOS, Institute of Mathematical Methods in Economics, Vienna University of Technology, A-1040 Vienna, Austria)


In this paper we develop a vintage capital model for a firm involved in a market for tradable emission permits. We analyze both the firm’s optimal investment plans and the market equilibrium. This allows us to scrutinize how firms use permits free endowment, and to highlight the implications of non-optimal uses both at the firm and at the market level. We provide a new rationale for the market of tradable permits not to be cost-efficient. The novel technical points in this context are the use a distributed (vintage) optimal control model of the firm, the use of optimality conditions for non-smooth problems, and the involvement of a nonlinear Fredholm integral equation of the first kind for the description of the equilibrium price of permits, and its practical meaning for market regularization.

Suggested Citation

  • BRECHET, Thierry & TSACHEV, Tsvetomir & VELIOV, Vladimir, 2010. "Markets for emission permits with free endowment: a vintage capital analysis," CORE Discussion Papers 2010017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2010017

    Download full text from publisher

    File URL:
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    1. Caselli, Francesco & Wilson, Daniel J., 2004. "Importing technology," Journal of Monetary Economics, Elsevier, vol. 51(1), pages 1-32, January.
    2. Nicholas Bloom & Raffaella Sadun & John Van Reenen, 2012. "Americans Do IT Better: US Multinationals and the Productivity Miracle," American Economic Review, American Economic Association, vol. 102(1), pages 167-201, February.
    3. Carlo Altomonte & Gabor Bekes, 2009. "Trade Complexity and Productivity," IEHAS Discussion Papers 0914, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
    4. Bernard, Andrew B. & Bradford Jensen, J., 1999. "Exceptional exporter performance: cause, effect, or both?," Journal of International Economics, Elsevier, vol. 47(1), pages 1-25, February.
    5. László Halpern & Miklós Koren & Adam Szeidl, 2015. "Imported Inputs and Productivity," American Economic Review, American Economic Association, vol. 105(12), pages 3660-3703, December.
    6. Arellano, Manuel & Bover, Olympia, 1995. "Another look at the instrumental variable estimation of error-components models," Journal of Econometrics, Elsevier, vol. 68(1), pages 29-51, July.
    7. Davide Castellani & Francesco Serti & Chiara Tomasi, 2008. "Firms in International Trade: Importers and Exporters Heterogeneity in the Italian Manufacturing Industry," LEM Papers Series 2008/04, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    8. Holger Görg & Aoife Hanley & Eric Strobl, 2008. "Productivity effects of international outsourcing: evidence from plant-level data," Canadian Journal of Economics, Canadian Economics Association, vol. 41(2), pages 670-688, May.
    9. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    10. Pinelopi Koujianou Goldberg & Amit Kumar Khandelwal & Nina Pavcnik & Petia Topalova, 2010. "Imported Intermediate Inputs and Domestic Product Growth: Evidence from India," The Quarterly Journal of Economics, Oxford University Press, vol. 125(4), pages 1727-1767.
    11. Jozef Konings & Stijn Vanormelingen, 2015. "The Impact of Training on Productivity and Wages: Firm-Level Evidence," The Review of Economics and Statistics, MIT Press, vol. 97(2), pages 485-497, May.
    12. Holger G–rg & Eric Strobl, 2003. "Multinational Companies, Technology Spillovers and Plant Survival," Scandinavian Journal of Economics, Wiley Blackwell, vol. 105(4), pages 581-595, December.
    13. Jeffrey M. Wooldridge, 2005. "Simple solutions to the initial conditions problem in dynamic, nonlinear panel data models with unobserved heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(1), pages 39-54.
    14. Jože P. Damijan & José de Sousa & Olivier Lamotte, 2009. "Does international openness affect the productivity of local firms?," The Economics of Transition, The European Bank for Reconstruction and Development, vol. 17(3), pages 559-586, July.
    15. Alla Lileeva & Daniel Trefler, 2010. "Improved Access to Foreign Markets Raises Plant-level Productivity…For Some Plants," The Quarterly Journal of Economics, Oxford University Press, vol. 125(3), pages 1051-1099.
    16. Alexander Vogel & Joachim Wagner, 2016. "Higher Productivity in Importing German Manufacturing Firms: Self-selection, Learning from Importing or Both?," World Scientific Book Chapters,in: Microeconometrics of International Trade, chapter 4, pages 139-174 World Scientific Publishing Co. Pte. Ltd..
    17. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August.
    18. Elhanan Helpman & Marc J. Melitz & Stephen R. Yeaple, 2004. "Export Versus FDI with Heterogeneous Firms," American Economic Review, American Economic Association, vol. 94(1), pages 300-316, March.
    19. Konings, Jozef & Vandenbussche, Hylke, 2008. "Heterogeneous responses of firms to trade protection," Journal of International Economics, Elsevier, vol. 76(2), pages 371-383, December.
    20. Mary Amiti & Jozef Konings, 2007. "Trade Liberalization, Intermediate Inputs, and Productivity: Evidence from Indonesia," American Economic Review, American Economic Association, vol. 97(5), pages 1611-1638, December.
    21. Andrew B. Bernard & J. Bradford Jensen & Peter K. Schott, 2009. "Importers, Exporters and Multinationals: A Portrait of Firms in the U.S. that Trade Goods," NBER Chapters,in: Producer Dynamics: New Evidence from Micro Data, pages 513-552 National Bureau of Economic Research, Inc.
    22. Roberts, Mark J & Tybout, James R, 1997. "The Decision to Export in Colombia: An Empirical Model of Entry with Sunk Costs," American Economic Review, American Economic Association, vol. 87(4), pages 545-564, September.
    23. James Levinsohn & Amil Petrin, 2003. "Estimating Production Functions Using Inputs to Control for Unobservables," Review of Economic Studies, Oxford University Press, vol. 70(2), pages 317-341.
    24. Martin, Ralf, 2010. "Productivity spreads, market power spreads and trade," LSE Research Online Documents on Economics 48912, London School of Economics and Political Science, LSE Library.
    25. Davide Castellani & Francesco Serti & Chiara Tomasi, 2010. "Firms in International Trade: Importers' and Exporters' Heterogeneity in Italian Manufacturing Industry," The World Economy, Wiley Blackwell, vol. 33(3), pages 424-457, March.
    26. Andrew B. Bernard & Ilke Van Beveren & Hylke Vandenbussche, 2010. "Multi-product exporters, carry-along trade and the margins of trade," Working Paper Research 203, National Bank of Belgium.
    27. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," Review of Economic Studies, Oxford University Press, vol. 58(2), pages 277-297.
    28. Ethier, Wilfred J, 1982. "National and International Returns to Scale in the Modern Theory of International Trade," American Economic Review, American Economic Association, vol. 72(3), pages 389-405, June.
    29. Joze P. Damijan & Jose de Sousa & Olivier Lamotte, 2008. "Does international openness affect productivity of local firms? Evidence from Southeastern Europe," LICOS Discussion Papers 21908, LICOS - Centre for Institutions and Economic Performance, KU Leuven.
    Full references (including those not matched with items on IDEAS)

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:


    Access and download statistics


    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:cor:louvco:2010017. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alain GILLIS). General contact details of provider: .

    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.

    We have no references for this item. You can help adding them by using 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.