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Consider a back-of-envelope valuation exercise.
Three months earlier, on an annualized basis, the figure was only half as big — yet still justified a back-of-the-envelope valuation of about $6 billion.
Here's a back-of-the-envelope valuation of Yahoo's parts: A tender offer for Alibaba shares led by the investment firms Silver Lake and DST Global valued the Chinese company at more than $32 billion, thus putting Yahoo's stake at more than $13 billion.
We study mechanism design problems in quasi-linear environments where the envelope theorem and revenue equivalence principle fail due to non-convex and non-differentiable valuations.
2. Valuation.
And "envelope".
Consider the valuation dynamics.
Joe's valuation policies.
valuation speculation is happening".
This requires valuation.
Valuation is his mantra.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com