摘要翻译：
我们研究了一个供应商竞争向分布在环形城市中的顾客销售同质产品的模型。这个模型是基于霍特林在1929年的著名论文。本文的目的是给出平衡点的一个充要条件。这就产生了平衡的表示。为了实现这一点，我们首先从数学上建立模型。其次，我们证明了该条件成立当且仅当供应商是均衡的。
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英文标题：
《Necessary and sufficient condition for equilibrium of the Hotelling
  model on a circle》
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作者：
Satoshi Hayashi and Naoki Tsuge
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最新提交年份：
2019
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分类信息：

一级分类：Economics        经济学
二级分类：Theoretical Economics        理论经济学
分类描述：Includes theoretical contributions to Contract Theory, Decision Theory, Game Theory, General Equilibrium, Growth, Learning and Evolution, Macroeconomics, Market and Mechanism Design, and Social Choice.
包括对契约理论、决策理论、博弈论、一般均衡、增长、学习与进化、宏观经济学、市场与机制设计、社会选择的理论贡献。
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英文摘要：
  We study a model of vendors competing to sell a homogeneous product to customers spread evenly along a circular city. This model is based on Hotelling's celebrated paper in 1929. Our aim in this paper is to present a necessary and sufficient condition for the equilibrium. This yields a representation for the equilibrium. To achieve this, we first formulate the model mathematically. Next, we prove that the condition holds if and only if vendors are equilibrium.
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PDF链接：
https://arxiv.org/pdf/1910.11154