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A Ham Sandwich Theorem for General Measures

Cox, Gary W. and McKelvey, Richard D. (1980) A Ham Sandwich Theorem for General Measures. Social Science Working Paper, 337. California Institute of Technology , Pasadena, CA. (Unpublished)

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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.

Item Type:Report or Paper (Working Paper)
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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.
Group:Social Science Working Papers
Series Name:Social Science Working Paper
Issue or Number:337
Record Number:CaltechAUTHORS:20171009-163353049
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82240
Deposited By: Jacquelyn Bussone
Deposited On:10 Oct 2017 16:48
Last Modified:03 Oct 2019 18:52

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