Envelope Theorems in Economics: Historical Development and Modern Cost-Benefit Applications

Karl‐Gustaf Lófgren & Chuan-Zhong Li

Frontiers of Economics in China2021https://doi.org/10.54605/fec20210207article
ABDC C
Weight
0.38

What the paper says

This paper reviews some historical development and modern applications of the envelope theorems in economics from a static to a dynamic context. First, we show how the static version of the theorem surfaced in economics, which had eventually lead to the well-known Shephard’s lemma in microeconomics. Second, we present its dynamic version in terms of the classical calculus of variations and optimal control theory via the optimized Hamiltonian function. Third, we show some applications of the theorem for deriving dynamic cost-benefifit rules with special reference to environmental projects involving the green or comprehensive net national product (CNNP). Finally, we illustrate how to extend the cost-benefifit rules to a stochastic economic growth setting.

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https://doi.org/https://doi.org/10.54605/fec20210207

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@article{karl‐gustaf2021,
  title        = {{Envelope Theorems in Economics: Historical Development and Modern Cost-Benefit Applications}},
  author       = {Karl‐Gustaf Lófgren & Chuan-Zhong Li},
  journal      = {Frontiers of Economics in China},
  year         = {2021},
  doi          = {https://doi.org/https://doi.org/10.54605/fec20210207},
}

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Evidence weight

0.38

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.09 × 0.4 = 0.03
M · momentum0.80 × 0.15 = 0.12
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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