Optimal regime switching and threshold effects

Boucekkine, Raouf;Pommeret, Aude;Prieur, Fabien
(2013) Journal of Economic Dynamics and Control — Vol. 37, n° 12, p. 2979-2997 (2013)

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Authors
  • Boucekkine, RaoufUCLouvain
    Author
  • Pommeret, AudeUniversity of Lausanne
    Author
  • Prieur, FabienUniversity of Montpellier
    Author
Abstract
We consider a general control problem with two types of optimal regime switch. The first one concerns technological and/or institutional regimes indexed by a finite number of discrete parameter values, and the second features regimes relying on given threshold values for given state variables. We propose a general optimal control framework allowing to derive the first-order optimality conditions and in particular to characterize the geometry of the shadow prices at optimal switching times (if any). We apply this new optimal control material to address the problem of the optimal management of natural resources under ecological irreversibility, and with the possibility to switch to a backstop technology.
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Citations

Boucekkine, R., Pommeret, A., & Prieur, F. (2013). Optimal regime switching and threshold effects. Journal of Economic Dynamics and Control, 37(12), 2979-2997. https://doi.org/10.1016/j.jedc.2013.08.008 (Original work published 2013)