Environmental Modeling & Assessment

, Volume 18, Issue 2, pp 147–158 | Cite as

A Complementarity Approach for an Environmental–Economic Game with Coupling Emission Constraints

  • Lanshan HanEmail author
  • Satish V. Ukkusuri


We consider an environmental–economic game where players face not only Cournot competition but also coupling environmental and individual capacity constraints. Under the complementarity problem framework, we study the existence of the (normalized) Nash equilibrium, computability of the equilibria, and the closed form expressions of the optimal weights. We also report numerical results of two examples as well as the insights gained from them.


Emission cap Cournot competition Complementarity problems Environmental game Lemke’s method 



The authors would like to thank the two anonymous reviewers whose comments have significantly improved the presentation of this paper. The authors are also grateful to the editor-in-chief, Dr. Jerzy A. Filar, for his comments and suggestions that have made the paper much more readable to this journal’s audience.


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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.School of Civil EngineeringPurdue UniversityIndianaUSA

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