论文标题
污染控制问题中混合极限周期的最佳和可持续性随着政权的转变
Optimality and sustainability of hybrid limit cycles in the pollution control problem with regime shifts
论文作者
论文摘要
在本文中，我们考虑了经历常规制度转移的系统中污染控制的问题。我们首先表明，减少污染的最佳政策也是周期性的，并通过唯一的混合极限周期来描述。接下来，我们介绍了环境可持续性解决方案的概念，并证明这种政策是唯一在稳步实现利润和确保环境保护之间实现最佳权衡的政策。与此相反，在环境上不可持续的政策最终进入停滞。为了进一步说明我们的发现，我们将最佳周期性解决方案与近视解决方案进行了比较。有趣的是，近视解决方案在短期内会产生更高的总体回报，但从长远来看完全失败了，而环境可持续的政策产生了最大的回报，并在无限的时间间隔内保留了环境。
In this paper, we consider the problem of pollution control in a system that undergoes regular regime shifts. We first show that the optimal policy of pollution abatement is periodic as well, and is described by the unique hybrid limit cycle. We next introduce the notion of an environmentally sustainable solution, and demonstrate that such a policy is the only one that yields the best possible trade-off between steadily achieving profit and ensuring environmental preservation. In contrast to that, the policy that is not environmentally sustainable eventually enters stagnation. To further illustrate our findings, we compare the optimal periodic solution with a myopic one. Interestingly enough, the myopic solution yields higher overall payoff in the short-run, but completely fails in the long-run, while the environmentally sustainable policy yields maximal payoff and preserves the environment over the infinite time interval.
