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

Julius Barbanel

Colloquium Mathematicae (1996)

  • Volume: 69, Issue: 1, page 59-73
  • ISSN: 0010-1354

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Barbanel, Julius. "Game-theoretic algorithms for fair and strongly fair cake division with entitlements." Colloquium Mathematicae 69.1 (1996): 59-73. <http://eudml.org/doc/210327>.

@article{Barbanel1996,
author = {Barbanel, Julius},
journal = {Colloquium Mathematicae},
keywords = {cake division; entitlement sequence},
language = {eng},
number = {1},
pages = {59-73},
title = {Game-theoretic algorithms for fair and strongly fair cake division with entitlements},
url = {http://eudml.org/doc/210327},
volume = {69},
year = {1996},
}

TY - JOUR
AU - Barbanel, Julius
TI - Game-theoretic algorithms for fair and strongly fair cake division with entitlements
JO - Colloquium Mathematicae
PY - 1996
VL - 69
IS - 1
SP - 59
EP - 73
LA - eng
KW - cake division; entitlement sequence
UR - http://eudml.org/doc/210327
ER -

References

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  1. [1] J. B. Barbanel, Super envy-free cake division and independence of measures, J. Math. Anal. Appl., to appear. 
  2. [2] S. J. Brams and A. D. Taylor, On envy-free cake division, J. Combin. Theory Ser. A 70 (1995), 170-173. Zbl0818.90035
  3. [3] S. J. Brams and A. D. Taylor, An envy-free cake division protocol, Amer. Math. Monthly 102 (1995), 9-18. Zbl0824.90142
  4. [4] L. E. Dubins and E. H. Spanier, How to cut a cake fairly, ibid. 68 (1961), 1-17. Zbl0108.31601
  5. [5] S. Even and A. Paz, A note on cake-cutting, Discrete Appl. Math. 7 (1984), 285-296. Zbl0527.90109
  6. [6] H. Steinhaus, The problem of fair division, Econometrica 16 (1948), 101-104. 
  7. [7] H. Steinhaus, Sur la division pragmatique, Econometrica (supplement) 17 (1949), 315-319. 
  8. [8] D. R. Woodall, A note on the cake division problem, J. Combin. Theory Ser. A 42 (1986), 300-301. Zbl0592.90023

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