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Commitment-Based Equilibrium Environmental Strategies Under Time-Dependent Absorption Efficiency

机译：时变吸收效率下基于承诺的均衡环境策略

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This paper investigates how current and future generations are affected by commitment-based Nash equilibrium environmental strategies when the environmental absorption efficiency is susceptible to switch from a pollution sink to a source. We formulate a two-player differential game model of transboundary pollution that includes the environmental absorption efficiency as a state variable that can be enhanced thanks to restoration efforts. Based on a logarithmic specification for the instantaneous revenue function, we characterize the cooperative solution and the commitment-based Nash equilibrium strategy, and examine their differences in terms of steady state and transient behavior. We notably show that a commitment-based Nash equilibrium strategy makes it possible to prevent a definitive switching of the environmental absorption efficiency from a pollution sink to a source but imposes greater economic sacrifices on current generations than on future generations. In comparison, the cooperative solution imposes greater sacrifices on current generations in terms of revenues but it imposes lower environmental costs on both current and future generations than commitment-based Nash equilibrium strategy.
机译：本文研究当环境吸收效率易于从污染汇向污染源转换时，基于承诺的纳什均衡环境策略如何影响今世后代。我们制定了一个具有跨界污染的两人差分博弈模型，该模型包括环境吸收效率作为状态变量，该状态变量可以通过恢复工作得到增强。基于对瞬时收入函数的对数规范，我们表征了合作解决方案和基于承诺的纳什均衡策略，并研究了它们在稳态和瞬态行为方面的差异。我们特别指出，基于承诺的纳什均衡策略可以防止环境吸收效率从污染汇向源头的明确转换，但与后代相比，当代人的经济损失更大。相比之下，合作解决方案在收益方面给当代人带来了更大的牺牲，但是与基于承诺的纳什均衡策略相比，它给今世后代都带来了更低的环境成本。

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