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Financing the reduction of emissions from deforestation: a differential game approach. (English) Zbl 1447.91113

Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 10th international conference, LSSC 2015, Sozopol, Bulgaria, June 8–12, 2015. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9374, 126-133 (2015).
Summary: This paper analyzes and compares two versions of a mechanism that aims at mitigating climate change through REDD (reduced emissions from deforestation and forest degradation). In this mechanism industrialised countries compensate countries with rainforests if they reduce their deforestation, because it is more cost efficient than restricting carbon emissions from domestic production. The initial question is, which funding possibility yields the best environmental results and is most beneficial for the involved parties. For this purpose, differential games are developed, in which industrialized countries and countries with rainforests denote the two players. Solutions are obtained by applying Pontryagin’s maximum principle and the concept of Nash and Stackelberg equilibria. Due to the model assumptions, analytical solutions can be found. It turns out that both versions of the mechanism can be a valuable contribution in the battle against climate change. Moreover, most advantages and disadvantages of the two variants turn out to be robust w.r.t. parameter changes and small modifications of the model.
For the entire collection see [Zbl 1422.65013].

MSC:

91B76 Environmental economics (natural resource models, harvesting, pollution, etc.)
91A23 Differential games (aspects of game theory)
91A80 Applications of game theory
91A05 2-person games
49N70 Differential games and control

References:

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