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

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  • 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)

Abstract

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," LIDAM Discussion Papers CORE 2010017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2010017
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