A moving-knife solution to the four-person envy-free cake-division problem

Proceedings of the American Mathematical Society

Volumn 125, Issue 2, 1997, Pages 547-554

  Steven J, Beams ^a   Taylor, Alan D ^b   Zwicker, William S ^a  

^a NEW YORK UNIVERSITY   (United States)

^b UNION COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444461545     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. [A] A. K. Austin, "Sharing a cake", Mathematical Gazette 6, no. 437 (October 1982), 212-215.
2. [BT 1] S. J. Brams and A. D. Taylor, "An envy-free cake-division protocol", American Mathematical Monthly 102, no. 1 (January 1995), 9-18. CMP 95:09
3. [BT 2] S. J. Brams and A. D. Taylor, Fair Division: From Cake-Cutting to Dispute Resolution, Cambridge, UK: Cambridge University Press (1996). CMP 96:10
4. [BT 3] S. J. Brams and A. D. Taylor, "A note on envy-free cake division", Journal of Combinatorial Theory, Series A 70, no. 1 (April, 1995), 170-173. MR 96b:05014
5. [BTZ] S. J. Brams, A. D. Taylor, and W. S. Zwicker, "Old and new moving-knife schemes", Mathematical Intelligencer 17, no. 4 (Fall, 1995). CMP 96:05
6. [N] J. Neyman, "Un théorème d'existé", C. R. Acad. Sei. Paris 222 (1946), 843-845. MR 7:457h
7. [S] H. Steinhaus, "The problem of fair division", Econometrica 16, no. 1 (January 1948), 101-104.
8. [St] W. Stromquist, "How to cut a cake fairly", American Mathematical Monthly 87, no. 8 (October 1980), 640-644. Addendum, vol. 88, no. 8 (October 1981), 613-614. MR 81m:05016
9. [W] W. Webb, "But he got a bigger piece than I did", preprint, n.d.