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HandWiki. Equitable Division. Encyclopedia. Available online: https://encyclopedia.pub/entry/32935 (accessed on 04 October 2026).
HandWiki. Equitable Division. Encyclopedia. Available at: https://encyclopedia.pub/entry/32935. Accessed October 04, 2026.
HandWiki. "Equitable Division" Encyclopedia, https://encyclopedia.pub/entry/32935 (accessed October 04, 2026).
HandWiki. (2022, November 04). Equitable Division. In Encyclopedia. https://encyclopedia.pub/entry/32935
HandWiki. "Equitable Division." Encyclopedia. Web. 04 November, 2022.
Equitable Division
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The content is sourced from: https://handwiki.org/wiki/Social:Equitable_division

An equitable division (EQ) is a division of a heterogeneous object (e.g. a cake), in which the subjective value of all partners is the same, i.e., each partner is equally happy with his/her share. 

subjective value mathematically eq

References

  1. Jones, M. A. (2002). "Equitable, Envy-Free, and Efficient Cake Cutting for Two People and Its Application to Divisible Goods". Mathematics Magazine 75 (4): 275–283. doi:10.2307/3219163.  https://dx.doi.org/10.2307%2F3219163
  2. Steven j. Brams; Michael a. Jones; Christian Klamler (2013). "N-Person Cake-Cutting: There May Be No Perfect Division". The American Mathematical Monthly 120: 35. doi:10.4169/amer.math.monthly.120.01.035.  https://dx.doi.org/10.4169%2Famer.math.monthly.120.01.035
  3. Steven J. Brams; Michael A. Jones; Christian Klamler (2007). "Better Ways to Cut a Cake - Revisited". Notices of the AMS. http://vesta.informatik.rwth-aachen.de/opus/volltexte/2007/1227/pdf/07261.KlamlerChristian.Paper.1227.pdf. 
  4. Barbanel, Julius B.; Brams, Steven J. (2014). "Two-Person Cake Cutting: The Optimal Number of Cuts". The Mathematical Intelligencer 36 (3): 23. doi:10.1007/s00283-013-9442-0.  https://dx.doi.org/10.1007%2Fs00283-013-9442-0
  5. Cechlárová, Katarína; Pillárová, Eva (2012). "A near equitable 2-person cake cutting algorithm". Optimization 61 (11): 1321. doi:10.1080/02331934.2011.563306.  https://dx.doi.org/10.1080%2F02331934.2011.563306
  6. Barbanel, J. B.; Brams, S. J.; Stromquist, W. (2009). "Cutting a Pie is Not a Piece of Cake". American Mathematical Monthly 116 (6): 496. doi:10.4169/193009709X470407.  https://dx.doi.org/10.4169%2F193009709X470407
  7. Procaccia, Ariel D.; Wang, Junxing (2017-06-20). "A Lower Bound for Equitable Cake Cutting". Proceedings of the 2017 ACM Conference on Economics and Computation. EC '17 (Cambridge, Massachusetts, USA: Association for Computing Machinery): 479–495. doi:10.1145/3033274.3085107. ISBN 978-1-4503-4527-9. https://doi.org/10.1145/3033274.3085107. 
  8. Brânzei, Simina; Nisan, Noam (2018-07-13). "The Query Complexity of Cake Cutting". arXiv:1705.02946 [cs.GT]. //arxiv.org/archive/cs.GT
  9. Cechlárová, Katarína; Pillárová, Eva (2012-11-01). "On the computability of equitable divisions" (in en). Discrete Optimization 9 (4): 249–257. doi:10.1016/j.disopt.2012.08.001. ISSN 1572-5286. https://www.sciencedirect.com/science/article/pii/S1572528612000606. 
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