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Published January 23, 2020 | Submitted
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There are no monotone homomorphisms out of the convolution semigroup


We prove that there is no nonzero way of assigning real numbers to probability measures on R in a way which is monotone under first-order stochastic dominance and additive under convolution.

Additional Information

T. Fritz would like to thank Lu Chen for discussion. O. Tamuz was supported by the Simons Foundation (#419427) and by the BSF (#2018397).

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Submitted - 1912.01733.pdf


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August 19, 2023
October 19, 2023