ERIC Number: EJ959227
Record Type: Journal
Publication Date: 2011-Jan
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0746-8342
EISSN: N/A
Two-Person Pie-Cutting: The Fairest Cuts
Barbanel, Julius B.; Brams, Steven J.
College Mathematics Journal, v42 n1 p25-32 Jan 2011
Barbanel, Brams, and Stromquist (in 2009) asked whether there exists a two-person moving-knife procedure that yields an envy-free, undominated, and equitable division of a pie. We present two procedures: One yields an envy-free, almost undominated, and almost equitable allocation, whereas the second yields an allocation with the two "almost" removed. The latter, however, requires broadening the definition of a "procedure," which raises philosophical, as opposed to mathematical, issues. An analogous approach for cakes fails because of problems in eliciting truthful preferences.
Descriptors: Mathematics Education, Arithmetic, College Mathematics, Mathematics Instruction, Teaching Methods, Higher Education
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A