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Published October 10, 2017 | Submitted
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A Ham Sandwich Theorem for General Measures

Abstract

The "ham sandwich" theorem has been proven only for measures that are absolutely continuous with respect to Lesbeque measure. We prove a generalized version of the ham sandwich theorem which is applicable to arbitrary finite measures, and we give some sufficient conditions for uniqueness of the hyperplane identified by the theorem.

Additional Information

Published as Cox, Gary W., and Richard D. McKelvey. "A ham sandwich theorem for general measures." Social Choice and Welfare 1.1 (1984): 75-83.

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August 19, 2023
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January 14, 2024