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A ham sandwich theorem for general measures

Cox, G. W. and McKelvey, R. D. (1984) A ham sandwich theorem for general measures. Social Choice and Welfare, 1 (1). pp. 75-83. ISSN 0176-1714. https://resolver.caltech.edu/CaltechAUTHORS:20171010-101743926

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Abstract

The “ham sandwich” theorem has been proven only for measures that are absolutely continuous with respect to Lebesgue measure. After noting some uses of the ham sandwich approach in the study of majority rule voting, we prove a generalized version of the ham sandwich theorem which is applicable to arbitrary finite measures, and give some sufficient conditions for uniqueness of the hyperplane identified by the theorem.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/BF00297061DOIArticle
https://link.springer.com/article/10.1007%2FBF00297061PublisherArticle
http://resolver.caltech.edu/CaltechAUTHORS:20171009-163353049Related ItemWorking Paper
Additional Information:© 1984 Springer-Verlag. Received: 14 April 1983; Accepted: 14 November 1983.
Issue or Number:1
Record Number:CaltechAUTHORS:20171010-101743926
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171010-101743926
Official Citation:Cox, G.W. & McKelvey, R.D. Soc Choice Welfare (1984) 1: 75. https://doi.org/10.1007/BF00297061
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82249
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:10 Oct 2017 17:27
Last Modified:03 Oct 2019 18:52

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