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arXiv 1602.08644stat.APmath.DSmath.OC
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附加偏好条件下需求的无补偿价格弹性与收入弹性的关系

Relationship Between the Uncompensated Price-Elasticity and the Income-Elasticity of Demand Under Conditions of Additive Preferences

Lorenzo Sabatelli

摘要:

需求的收入弹性和价格弹性分别量化了市场对收入和价格变化的反应。在效用最大化和偏好独立性(加性偏好)的假设下,利用需求分析的微分方法,推导了捆绑商品的收入弹性值与未补偿的自身需求和交叉需求价格弹性之间的数学关系。关键参数是:收入的边际效用弹性和平均收入份额。所提出的方法可以应用于预测的直接和间接影响的价格变化,以及金融工具的政策,使用现有的估计需求的收入弹性。

英文摘要:

Income- and price-elasticity of demand quantify the responsiveness of markets to changes in income, and in prices, respectively. Under the assumptions of utility maximization and preference-independence (additive preferences), mathematical relationships between income-elasticity values and uncompensated own and cross price-elasticity of demand are here derived for bundle of goods, using the differential approach to demand analysis. Key parameters are: the elasticity of the marginal utility of income, and the average budget-share. The proposed method can be applied to forecast the direct and indirect impact of price changes, and of financial instruments of policy using available estimates of the income elasticity of demand.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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