  This paper provides a coopetitive model for a global green economy, taking
into account the environmental sustainability. In particular, we propose a
differentiable coopetitive game G (in the sense recently introduced by D.
Carf`{\i}) to represent a global green economy interaction, among a country c
and the rest of the world w. Our game G is a linear parametric (Euclidean)
perturbation of the classic Cournot duopoly. In the paper we offer the complete
study of the proposed model and in particular a deep examination of its
possible coopetitive solutions.
