Game-theoretic algorithms for fair and strongly fair cake division with entitlements

• Autorzy: Julius B. Barbanel
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 69
• Numer: 1
• Strony: 59-73

Daty

wydano

1996

otrzymano

1993-04-26

poprawiono

1994-06-24

Twórcy

autor

Julius B. Barbanel

• Department of Mathematics, Union College, Schenectady, New York 12308, U.S.A.

Bibliografia

• [1] J. B. Barbanel, Super envy-free cake division and independence of measures, J. Math. Anal. Appl., to appear.
• [2] S. J. Brams and A. D. Taylor, On envy-free cake division, J. Combin. Theory Ser. A 70 (1995), 170-173.
• [3] S. J. Brams and A. D. Taylor, An envy-free cake division protocol, Amer. Math. Monthly 102 (1995), 9-18.
• [4] L. E. Dubins and E. H. Spanier, How to cut a cake fairly, ibid. 68 (1961), 1-17.
• [5] S. Even and A. Paz, A note on cake-cutting, Discrete Appl. Math. 7 (1984), 285-296.
• [6] H. Steinhaus, The problem of fair division, Econometrica 16 (1948), 101-104.
• [7] H. Steinhaus, Sur la division pragmatique, Econometrica (supplement) 17 (1949), 315-319.
• [8] D. R. Woodall, A note on the cake division problem, J. Combin. Theory Ser. A 42 (1986), 300-301.