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end{aligned}Composition up (Moulin 2000) states that if after having distributed the endowment, this increases, then a rule recommends the same if (i) we cancel the initial distribution and apply the rule to the revised problem, or (ii) we let agents keep their initial awards, adjust their claims down by these amounts, and re-apply the rule to allocate the increment of the endowment.
Same if I was Oprah.
I would do the same if I were him.
Same if I hear something amusing or interesting.
Maybe I would be the same if I was in their position".
As Pittsburgh linebacker James Farrior said: "I'm not the same if I don't have it.
Even more than this rotational symmetry, the equations stay the same if I boost my speed.
"It wouldn't be the same if I had filmed a cow.
All the same, if I wanted a referral she was happy to give me one.
I might do the same if I didn't have any choice".
"It's true: I'd be the same if I were an interior decorator.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com