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This is mainly determined by the second variable: what's the donor getting in return?
The second variable we consider is religion.
The second variable in this experiment was their clothing.
for and is nondecreasing about the second variable.
So, S is not concave in the second variable.
f is locally Lipschitz in the second variable. .
Hence V f is convex in the second variable.
F is Lipschitz continuous for the second variable.
This proves that T is concave in the second variable.
Therefore, is strictly convex with respect to the second variable.
(P4) is odd for the second variable, namely, (4.2).
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