On the fair division of a heterogeneous commodity

Citations

Cited by:

1. Nicolò, Antonio & Yu, Yan, 2008. "Strategic divide and choose," Games and Economic Behavior, Elsevier, vol. 64(1), pages 268-289, September.
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   • Marco LiCalzi & Antonio Nicolò, 2005. "Efficient Egalitarian Equivalent Allocations over a Single Good," Microeconomics 0510014, University Library of Munich, Germany.
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3. Erel Segal-Halevi & Shmuel Nitzan, 2014. "Cake Cutting – Fair and Square," Working Papers 2014-01, Bar-Ilan University, Department of Economics.
4. Ichiishi, Tatsuro & Idzik, Adam, 1999. "Equitable allocation of divisible goods," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 389-400, December.
5. 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.
6. 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.
7. Husseinov, Farhad, 2011. "A theory of a heterogeneous divisible commodity exchange economy," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 54-59, January.
8. Dall'Aglio, M. & Brânzei, R. & Tijs, S.H., 2008. "Cooperation in Dividing the Cake," Discussion Paper 2008-101, Tilburg University, Center for Economic Research.
9. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
10. Randall G. Holcombe, 2000. "Absence of Envy Does Not Imply Fairness: Reply," Southern Economic Journal, John Wiley & Sons, vol. 67(2), pages 485-487, October.
11. 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.
12. 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.
13. Chambers, Christopher P., 2005. "Allocation rules for land division," Journal of Economic Theory, Elsevier, vol. 121(2), pages 236-258, April.
14. 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.
15. 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.
16. Dall'Aglio, Marco & Maccheroni, Fabio, 2009. "Disputed lands," Games and Economic Behavior, Elsevier, vol. 66(1), pages 57-77, May.
    • Marco Dall'Aglio & Fabio Maccheroni, 2007. "Disputed Lands," Carlo Alberto Notebooks 58, Collegio Carlo Alberto.
17. 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).
18. Marcus Berliant & Karl Dunz & William Thomson, 2000. "On the Fairness Literature: Comment," Southern Economic Journal, John Wiley & Sons, vol. 67(2), pages 479-484, October.
19. 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.
20. Jonathan Scarlett & Nicholas Teh & Yair Zick, 2023. "For One and All: Individual and Group Fairness in the Allocation of Indivisible Goods," Papers 2302.06958, arXiv.org.
21. Uriel Feige & Yehonatan Tahan, 2022. "On allocations that give intersecting groups their fair share," Papers 2204.06820, arXiv.org.
22. 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).
23. 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).
24. Marco Dall’Aglio & Rodica Branzei & Stef Tijs, 2009. "Cooperation in dividing the cake," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 417-432, December.
25. 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.
26. Katerina Sherstyuk, 1998. "How to gerrymander: A formal analysis," Public Choice, Springer, vol. 95(1), pages 27-49, April.
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27. Ji-Won Park & Jaeup U. Kim & Cheol-Min Ghim & Chae Un Kim, 2021. "The Boltzmann fair division for distributive justice," Papers 2109.11917, arXiv.org, revised Nov 2021.
28. Doğan, Battal, 2016. "Nash-implementation of the no-envy solution on symmetric domains of economies," Games and Economic Behavior, Elsevier, vol. 98(C), pages 165-171.
29. 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.
30. Krist'of B'erczi & Erika R. B'erczi-Kov'acs & Endre Boros & Fekadu Tolessa Gedefa & Naoyuki Kamiyama & Telikepalli Kavitha & Yusuke Kobayashi & Kazuhisa Makino, 2020. "Envy-free Relaxations for Goods, Chores, and Mixed Items," Papers 2006.04428, arXiv.org.
31. Sophie Bade & Erel Segal-Halevi, 2018. "Fairness for Multi-Self Agents," Papers 1811.06684, arXiv.org, revised Apr 2022.
32. Mackenzie, Andrew, 2019. "A foundation for probabilistic beliefs with or without atoms," Theoretical Economics, Econometric Society, vol. 14(2), May.
    • Mackenzie, Andrew, 2018. "A foundation for probabilistic beliefs with or without atoms," Research Memorandum 013, Maastricht University, Graduate School of Business and Economics (GSBE).
33. Akin, Ethan, 1995. "Vilfredo Pareto cuts the cake," Journal of Mathematical Economics, Elsevier, vol. 24(1), pages 23-44.
34. Agnes Cseh & Tamás Fleiner, 2018. "The complexity of cake cutting with unequal shares," CERS-IE WORKING PAPERS 1819, Institute of Economics, Centre for Economic and Regional Studies.
35. 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.
36. 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).
37. Sagara, Nobusumi, 2008. "A characterization of [alpha]-maximin solutions of fair division problems," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 273-280, May.
38. Hao Guo & Weidong Li & Bin Deng, 2023. "A Survey on Fair Allocation of Chores," Mathematics, MDPI, vol. 11(16), pages 1-28, August.
39. Palvolgyi, D.G. & Peters, H.J.M. & Vermeulen, A.J., 2010. "A strategic approach to estate division problems with non-homogenous preferences," Research Memorandum 036, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
40. 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.
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42. Legut, Jerzy, 2020. "Simple fair division of a square," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 35-40.
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