Fair Division of Land

As the world becomes more crowded, we need methods for fair division of land. The starting point of my research is the classic challenge of Fair cake-cutting. My goal is to generalize this framework in various ways in order to make it more applicable to division of land.

Online demos

Publications and working papers

  1. "Envy-Free Cake-Cutting in Two Dimensions": Erel Segal-Halevi, Avinatan Hassidim, Yonatan Aumann.      AAAI 2015 (8 pages) and arXiv 2016 (42 pages). Extensions and improvements are welcome. → Presentation
  2. "Waste Makes Haste - Bounded Time Protocols for Envy-Free Cake Cutting with Free Disposal": Erel Segal-Halevi, Avinatan Hassidim, Yonatan Aumann.      ACM Transactions on Algorithms (TALG), 2016, pages 12:1-12:32. Preliminary versions: AAMAS 2015 and arXiv 2016. → Presentation
  3. "Fair Cake-cutting among Families": Erel Segal-Halevi, Shmuel Nitzan.      Major revision in Social Choice and Welfare; extensions and improvements are welcome.
  4. "Fair and Square - Cake-Cutting in Two Dimensions": Erel Segal-Halevi, Shmuel Nitzan, Avinatan Hassidim, Yonatan Aumann.      Journal of Mathematical Economics (JME), 2016, 70 pages 1-28. “The paper is now a full treatise on the subject, with enough material to fill three or four regular length articles” (–an anonymous reviewer). Preliminary versions: EuroCG 2016 (4 pages) and arXiv 2016 (54 pages). → Live demo → Presentation
  5. "Resource-monotonicity and Population-monotonicity in Connected Cake-cutting": Erel Segal-Halevi, Balázs Sziklai.      Working paper.
  6. "Fairly Dividing a Cake after Some Parts were Burnt in the Oven": Erel Segal-Halevi.      AAMAS 2018 and arXiv 2018. → Presentation
  7. "Fair Division of Land (Ph.D. Thesis)": Erel Segal-Halevi (supervised by Yonatan Aumann and Avinatan Hassidim).      Submitted version. → Presentation
  8. "Counting Blanks in Polygonal Arrangements": Arseniy Akopyan, Erel Segal-Halevi.      SIAM Journal on Discrete Mathematics and Applications.
  9. "Monotonicity and Competitive Equilibrium in Cake-cutting.": Erel Segal-Halevi, Balázs Sziklai.      Economic Theory, 1-39. Preliminary version: arXiv 2018. → Presentation
  10. "Redividing the Cake": Erel Segal-Halevi.      IJCAI 2018 and arXiv 2018. → Presentation