Environmental Modeling & Assessment

, Volume 17, Issue 1–2, pp 7–18 | Cite as

Dynamical Allocation Method of Emission Rights of Pollutants by Viability Constraints Under Tychastic Uncertainty

  • Jean-Pierre AubinEmail author
  • Luxi Chen
  • Marie-Hélène Durand


This study proposes a method of dynamic decentralization by constraints and its associated software. It can be used to allocate pollutant emissions rights among the different polluters such that they achieve both given global and local emission thresholds not to be transgressed. Knowing the maximum growth rates of polluting emissions of each polluter in the worst case, this method provides the rule of a dynamic allocation of pollutant emissions rights as well as the required initial emissions of each polluters assuring that, whatever the growth rates of the emissions below the maximum growth rates, the resulting emissions will be, both globally and locally, under their thresholds. These guaranteed initial emissions supply each polluter with a measure of risk insurance. This problem, formulated as a “tychastic” regulated system with viability constraints, is solved with mathematical and algorithmic tools of viability theory and numerical results obtained by a dedicated software are presented.


Polluting emissions Decentralizing constraints Dynamic regulation Viability Tychastic 


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Jean-Pierre Aubin
    • 1
    Email author
  • Luxi Chen
    • 1
  • Marie-Hélène Durand
    • 2
  1. 1.Société VIMADES (Viabilité, Marchés, Automatique et Décision)ParisFrance
  2. 2.IRDBondyFrance

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