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Feedback Nash equilibria for non-linear differential games in pollution control

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Listed:
  • Kossioris, G.
  • Plexousakis, M.
  • Xepapadeas, A.
  • de Zeeuw, A.
  • Mäler, K.-G.

Abstract

Dynamic problems of pollution and resource management with stock externalities often require a differential games framework of analysis. In addition they are represented realistically by non-linear transition equations. However, feedback Nash equilibrium (FBNE) solutions, which are the desired ones in this case, are difficult to obtain in problems with non-linear-quadratic structure. We develop a method to obtain numerically non-linear FBNE for a class of such problems, with a specific example for shallow lake pollution control. We compare FBNE solutions, by considering the entire equilibrium trajectories, with optimal management and open-loop solutions, and we show that the value of the best FBNE is in general worse than the open-loop and optimal management solutions.

Suggested Citation

  • Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & de Zeeuw, A. & Mäler, K.-G., 2008. "Feedback Nash equilibria for non-linear differential games in pollution control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1312-1331, April.
    • Handle: RePEc:eee:dyncon:v:32:y:2008:i:4:p:1312-1331
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    1. Karl-Göran Mäler & Anastasios Xepapadeas & Aart de Zeeuw, 2003. "The Economics of Shallow Lakes," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 603-624, December.
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