线性运输下的二维空间企业竞争

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英文标题：
《Spatial firm competition in two dimensions with linear transportation
  costs: simulations and analytical results》
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作者：
Alan Roncoroni, Matus Medo
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最新提交年份：
2016
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英文摘要：
  Models of spatial firm competition assume that customers are distributed in space and transportation costs are associated with their purchases of products from a small number of firms that are also placed at definite locations. It has been long known that the competition equilibrium is not guaranteed to exist if the most straightforward linear transportation costs are assumed. We show by simulations and also analytically that if periodic boundary conditions in two dimensions are assumed, the equilibrium exists for a pair of firms at any distance. When a larger number of firms is considered, we find that their total equilibrium profit is inversely proportional to the square root of the number of firms. We end with a numerical investigation of the system\'s behavior for a general transportation cost exponent.
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中文摘要：
空间企业竞争模型假设客户分布在空间中，运输成本与他们从少数也位于特定位置的企业购买产品有关。众所周知，如果假设最直接的线性运输成本，则不能保证存在竞争均衡。我们通过模拟和分析表明，如果假设二维周期性边界条件，则任何距离的一对企业都存在均衡。当考虑更多的公司时，我们发现他们的总均衡利润与公司数量的平方根成反比。最后，我们对一般运输成本指数下的系统行为进行了数值研究。
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分类信息：

一级分类：Quantitative Finance        数量金融学
二级分类：Trading and Market Microstructure        交易与市场微观结构
分类描述：Market microstructure, liquidity, exchange and auction design, automated trading, agent-based modeling and market-making
市场微观结构，流动性，交易和拍卖设计，自动化交易，基于代理的建模和做市
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一级分类：Physics        物理学
二级分类：Physics and Society        物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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一级分类：Quantitative Finance        数量金融学
二级分类：General Finance        一般财务
分类描述：Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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关键词：企业竞争 Quantitative Applications proportional Transportat