Abstract This paper presents necessary and sufficient conditions for 3-period cycles in the two-sector Robinson–Solow–Srinivasan (RSS) model, taking as its point of departure an independently-(and simultaneously-) discovered exact discount-factor restriction for a general class of growth models by Mitra and Nishimura–Yano (MNY) in 1996. Our investigation of this remarkable result in the specificity of the RSS model enables a broadened inquiry that goes beyond the discount factor to parameters of labor-productivity and capital-depreciation. Since the RSS model, despite its concrete simplicity, is not covered by the general MNY model, the exact discount-factor restriction presented here does not follow from the MNY theorem, and necessitates new argumentation. Furthermore, we present a novel exact parametric region as our second result.

中文翻译：

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RSS 模型中 3 周期的精确参数限制：完整而全面的表征

摘要 本文提出了两部门 Robinson-Solow-Srinivasan (RSS) 模型中 3 周期周期的充分必要条件，以独立（同时）发现的精确贴现因子限制为出发点。 Mitra 和 Nishimura-Yano (MNY) 在 1996 年提出的一般增长模型类。我们对 RSS 模型特殊性的这一显着结果的调查使我们能够扩大调查范围，超越贴现因子对劳动生产率和资本折旧的参数. 由于 RSS 模型尽管具体简单，但并未包含在一般 MNY 模型中，因此此处提出的确切折扣因子限制并不遵循 MNY 定理，因此需要进行新的论证。此外，我们提出了一个新的精确参数区域作为我们的第二个结果。