Decoupling the Ces Distribution Circle with Quality and Beyond: Equilibrium Distributions and the Ces-Logit Nexus
Decoupling the Ces Distribution Circle with Quality and Beyond: Equilibrium Distributions and the Ces-Logit Nexus
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DOI：
10.1093/ej/ueaa001
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发表时间：
2019-12
期刊：
影响因子：
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通讯作者：
Simon P. Anderson;A. de Palma
中科院分区：
文献类型：
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作者：
Simon P. Anderson;A. de Palma
我们表明，对于具有异质生产率的CES需求，利润、收入和产出分布与生产率分布位于同一封闭幂族中（例如，帕累托圈（Pareto Circle）价格分布属于逆幂族。平衡分布形状由它们的密度弹性之间的线性关系联系起来。引入产品质量使消费电子展循环，并调和帕累托价格和帕累托销售收入分布。我们使用离散选择的基础，以找到一个更灵活的需求制定桥接CES logit和超越变量加价。对于logit需求，指数（分别为正态）质量成本分布产生帕累托（对数正态）经济规模分布。
We show for CES demands with heterogeneous productivities that profit, revenue and output distributions lie in the same closed power family as the productivity distribution (e.g., the ‘Pareto circle’). The price distribution lies in the inverse power family. Equilibrium distribution shapes are linked by linear relations between their density elasticities. Introducing product quality decouples the CES circle, and reconciles Pareto price and Pareto sales revenue distributions. We use discrete choice underpinnings to find variable mark-ups for a more flexible demand formulation bridging CES to logit and beyond. For logit demand, exponential (resp. normal) quality-cost distributions generate Pareto (log-normal) economic size distributions.