论文标题
关于火柴盒两部门模型中的可持续性和生存能力：最佳灭绝的完整表征
On Sustainability and Survivability in the Matchbox Two-Sector Model: A Complete Characterization of Optimal Extinction
论文作者
论文摘要
我们通过三个结果的两个范围的经济增长模型提供了最佳灭绝的完整表征，这在它们的简单性和复杂性方面都令人惊讶。 （i）当折扣因子低于存在固定最佳库存的众所周知的$δ$量子条件所确定的阈值时，从长远来看，经济资本就会灭绝。 （ii）当且仅当投资良好部门是资本密集型时，这种灭绝可能会错开。 （iii）我们揭示了折现因子的一系列阈值，该阈值由一个理性函数家族确定，这些函数代表分叉以在灭绝路径上进行最佳推迟。我们还报告了该模型的各种特殊案例与不可持续的技术和同等资本强度有关，这些技术和同等的资本强度展示了长期最佳增长，所有主题兴趣，并且在先前文献中都被忽略了。
We provide a complete characterization of optimal extinction in a two-sector model of economic growth through three results, surprising in both their simplicity and intricacy. (i) When the discount factor is below a threshold identified by the well-known $δ$-normality condition for the existence of a stationary optimal stock, the economy's capital becomes extinct in the long run. (ii) This extinction may be staggered if and only if the investment-good sector is capital intensive. (iii) We uncover a sequence of thresholds of the discount factor, identified by a family of rational functions, that represent bifurcations for optimal postponements on the path to extinction. We also report various special cases of the model having to do with unsustainable technologies and equal capital intensities that showcase long-term optimal growth, all of topical interest and all neglected in the antecedent literature.
