Cooperation in dividing the cake
Author
Abstract
Suggested Citation
DOI: 10.1007/s11750-009-0075-6
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Berliant, Marcus & Thomson, William & Dunz, Karl, 1992. "On the fair division of a heterogeneous commodity," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 201-216.
- Legut, J. & Potters, J.A.M. & Tijs, S.H., 1994. "Economies with land : A game theoretical approach," Other publications TiSEM 37ff121d-d79c-4e41-a06a-9, Tilburg University, School of Economics and Management.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Marco Dall’Aglio & Camilla Luca, 2014. "Finding maxmin allocations in cooperative and competitive fair division," Annals of Operations Research, Springer, vol. 223(1), pages 121-136, December.
- Erel Segal-Halevi & Shmuel Nitzan, 2019.
"Fair cake-cutting among families,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 709-740, December.
- SEGAL-HALEVI, Erel & NITZAN, Shmuel, 2018. "Fair Cake-Cutting among Families," Discussion paper series HIAS-E-79, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
- Sophie Bade & Erel Segal-Halevi, 2018. "Fairness for Multi-Self Agents," Papers 1811.06684, arXiv.org, revised Apr 2022.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Dall'Aglio, M. & Brânzei, R. & Tijs, S.H., 2008. "Cooperation in Dividing the Cake," Discussion Paper 2008-101, Tilburg University, Center for Economic Research.
- Atlamaz, Murat & Berden, Caroline & Peters, Hans & Vermeulen, Dries, 2011. "Non-cooperative solutions for estate division problems," Games and Economic Behavior, Elsevier, vol. 73(1), pages 39-51, September.
- Segal-Halevi, Erel & Nitzan, Shmuel & Hassidim, Avinatan & Aumann, Yonatan, 2017. "Fair and square: Cake-cutting in two dimensions," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 1-28.
- Erel Segal-Halevi & Shmuel Nitzan & Avinatan Hassidim & Yonatan Aumann, 2020. "Envy-Free Division of Land," Mathematics of Operations Research, INFORMS, vol. 45(3), pages 896-922, August.
- Dall'Aglio, M. & Brânzei, R. & Tijs, S.H., 2008. "Cooperation in Dividing the Cake," Other publications TiSEM cc8598f8-1be5-46d7-b91d-1, Tilburg University, School of Economics and Management.
- Segal-Halevi, Erel & Sziklai, Balázs R., 2018. "Resource-monotonicity and population-monotonicity in connected cake-cutting," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 19-30.
- Legut, Jerzy, 2020. "Simple fair division of a square," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 35-40.
- Fabio Maccheroni & Fabio Maccheroni & Massimo Marinacci & Massimo Marinacci, 2003.
"How to cut a pizza fairly: Fair division with decreasing marginal evaluations,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 457-465, June.
- Massimo Marinacci & Fabio Maccheroni, 2002. "How to cut a pizza fairly: fair division with descreasing marginal evaluations," ICER Working Papers - Applied Mathematics Series 23-2002, ICER - International Centre for Economic Research.
- Pálvölgyi, Dénes & Peters, Hans & Vermeulen, Dries, 2014. "A strategic approach to multiple estate division problems," Games and Economic Behavior, Elsevier, vol. 88(C), pages 135-152.
- Anna Bogomolnaia & Hervé Moulin, 2023.
"Guarantees in Fair Division: General or Monotone Preferences,"
Mathematics of Operations Research, INFORMS, vol. 48(1), pages 160-176, February.
- Anna bogomolnaia & Herve Moulin, 2019. "Guarantees in Fair Division: general or monotone preferences," Papers 1911.10009, arXiv.org, revised Sep 2020.
- Anna Bogomolnaia & Hervé Moulin, 2022. "Guarantees in Fair Division: General or Monotone Preferences," Post-Print hal-03886828, HAL.
- Anna Bogomolnaia & Hervé Moulin, 2022. "Guarantees in Fair Division: General or Monotone Preferences," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03886828, HAL.
- Anna Bogomolnaia & Hervé Moulin, 2020. "Guarantees in Fair Division: general or monotone preferences," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03047407, HAL.
- Anna Bogomolnaia & Hervé Moulin, 2020. "Guarantees in Fair Division: general or monotone preferences," Working Papers hal-03047407, HAL.
- Sherstyuk, Katerina, 1998.
"How to Gerrymander: A Formal Analysis,"
Public Choice, Springer, vol. 95(1-2), pages 27-49, April.
- Katerina Sherstyuk, 1998. "How to gerrymander: A formal analysis," Public Choice, Springer, vol. 95(1), pages 27-49, April.
- Sherstyuk, Katerina, 1993. "How to Gerrymander: A Formal Analysis," Working Papers 855, California Institute of Technology, Division of the Humanities and Social Sciences.
- Sherstyuk, K., 1995. "How to Gerrymander: A Formal Analysis," Department of Economics - Working Papers Series 469, The University of Melbourne.
- Reijnierse, Hans & Borm, Peter & Quant, Marieke & Meertens, Marc, 2010.
"Processing games with restricted capacities,"
European Journal of Operational Research, Elsevier, vol. 202(3), pages 773-780, May.
- Meertens, M. & Borm, P.E.M. & Reijnierse, J.H. & Quant, M., 2004. "Processing Games with Restricted Capacities," Other publications TiSEM a769e434-b8c9-4116-8897-f, Tilburg University, School of Economics and Management.
- Meertens, M. & Borm, P.E.M. & Reijnierse, J.H. & Quant, M., 2004. "Processing Games with Restricted Capacities," Discussion Paper 2004-83, Tilburg University, Center for Economic Research.
- Marco LiCalzi & Antonio Nicolò, 2009.
"Efficient egalitarian equivalent allocations over a single good,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 27-45, July.
- Marco LiCalzi & Antonio Nicolò, 2005. "Efficient Egalitarian Equivalent Allocations over a Single Good," Microeconomics 0510014, University Library of Munich, Germany.
- Marco LiCalzi & Antonio Nicolo, 2007. "Efficient Egalitarian Equivalent Allocations over a Single Good," Working Papers 152, Department of Applied Mathematics, Università Ca' Foscari Venezia.
- William Thomson, 2007.
"Children Crying at Birthday Parties. Why?,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 501-521, June.
- William Thomson, 2006. "Children crying at birthday parties. Why? Fairness and incentives for cake division problems," RCER Working Papers 526, University of Rochester - Center for Economic Research (RCER).
- Thomson, William, 2005.
"Divide-and-permute,"
Games and Economic Behavior, Elsevier, vol. 52(1), pages 186-200, July.
- William Thomson, 2004. "Divide-and-Permute," RCER Working Papers 510, University of Rochester - Center for Economic Research (RCER).
- Hao Guo & Weidong Li & Bin Deng, 2023. "A Survey on Fair Allocation of Chores," Mathematics, MDPI, vol. 11(16), pages 1-28, August.
- Antonio Nicolò & Andrés Perea y Monsuwe & Paolo Roberti, 2012. "Equal opportunity equivalence in land division," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 133-142, March.
- Berliant, Marcus & Dunz, Karl, 2004.
"A foundation of location theory: existence of equilibrium, the welfare theorems, and core,"
Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 593-618, August.
- Berliant, M.C. & Dunz, K., 1991. "A Foundation of Location Theory : Exstence of Equilibrium, the Welfare Theorems and Core," RCER Working Papers 298, University of Rochester - Center for Economic Research (RCER).
- Peters, Hans & Schröder, Marc & Vermeulen, Dries, 2019.
"Claim games for estate division problems,"
Games and Economic Behavior, Elsevier, vol. 116(C), pages 105-115.
- Peters, H.J.M. & Schröder, M.J.W. & Vermeulen, A.J., 2013. "Claim games for estate division problems," Research Memorandum 055, Maastricht University, Graduate School of Business and Economics (GSBE).
- Farhad Hüsseinov & Nobusumi Sagara, 2013. "Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 923-940, October.
More about this item
Keywords
Fair division; Cooperative games; Maximin partition; 91B32; 91A12;All these keywords.
JEL classification:
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:topjnl:v:17:y:2009:i:2:p:417-432. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.