A NOTE ON THE STABILITY PROPERTY OF SPATIAL COMPETITION*
扩展了标准比较静态分析,利用Routh-Hurwitz准则研究空间竞争模型的动态稳定性,证明在异质成本条件下Löschian、Hotelling-Smithies和Greenhut-Ohta模型的非平凡均衡是稳定的。
ABSTRACT. Our study extends the standard comparative static analysis to allow for dynamic aspects of equilibrium in spatial competiton. We investigate dynamic stability properties via the Routh‐Hurwitz criterion. Nontrivial equilibria in the so‐called Löschian, Hotelling‐Smithies, and Greenhut‐Ohta models are shown to be stable even under heterogeneous cost conditions among competing firms, conditions not considered hitherto. We can thus provide powerful support to the comparative static analyses which can only be developed via equilibrium concepts with stability properties.