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arXiv 1402.1995math.OC
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关于Lerner指数、交叉弹性和收入Optimization不变量的注记

A Note on Lerner Index, Cross-Elasticity and Revenue Optimization Invariants

Alexander Kushkuley, Su-Ming Wu

摘要:

我们研究零售定价模型的一般框架内的变分法的共同属性。特别是,我们观察到,对于任何需求模型,最优的去季节化收入率除以价格弹性是时不变的。我们还得到了一个众所周知的需求价格弹性和勒纳指数之间的逆关系的推广。这些不变性的结果说明了两个对比的例子降价优化和最佳连续补货

英文摘要:

We study common properties of retail pricing models within a general framework of calculus of variations. In particular, we observe that for any demand model, optimal de-seasoned revenue rate divided by price elasticity is time invariant. We also obtain a generalization of a well known inverse relationship between price elasticity of demand and Lerner index. These invariance results are illustrated by two contrasting examples of markdown optimization and optimal continuous replenishment

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