We study the strategic exploitation of an age-structured, common-property resource, where agents target different age classes. We present the first closed form solution for the optimal harvesting of an age-structured population, and we derive closed-form solutions for the Markov-perfect Nash equilibrium, thus extending the ‘second-generation fish war’ literature by studying a structured resource rather than a simple biomass setting. We derive conditions under which the different age classes are subject to overfishing in the non-cooperative setting, as harvest quantities are strictly higher than in the cooperative optimum, but also characterize conditions under which some age classes may be underfished.

中文翻译：

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年龄结构人口的战略收获

我们研究了年龄结构化、共有财产资源的战略开发，其中代理人针对不同的年龄阶层。我们为年龄结构种群的最佳收获提出了第一个封闭形式的解决方案，并且我们为马尔可夫完美纳什均衡推导出了封闭形式的解决方案，从而通过研究结构化资源而不是扩展了“第二代鱼类战争”文献而不是简单的生物量设置。我们推导出在非合作环境下不同年龄等级受到过度捕捞的条件，因为捕捞量严格高于合作最佳条件，但也描述了某些年龄等级可能捕捞不足的条件。