PreprintarXiv licencearXiv
Does the problem of the Nile have a solution?
Abstract
The problem of the Nile has been stated by R. Fisher in 1936. This problem concerns the fair division of an agricultural land and is the eponymous problem of a general class of problems on measures and similar regions. In 1938, W. Feller has shown that the general problem has no solution. However, we will show that under a natural hypothesis, the original problem of the Nile is solvable with connected plots.
Related
- How many points does an affine algebraic set have in residue classes modulo n ?
- How Many Sides Does a Tire Have?
- Hall's universal group does not have finite big Ramsey degrees
- A Complete Solution to the Conjecture on the Inverse Collatz–Sinogowitz Irregularity Problem
- A solution to Haagerup's Problem on decomposable maps
BibTeX
@misc{cheze2026does,
title = {{Does the problem of the Nile have a solution?}},
author = {Guillaume Chèze and François Ollivier},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16025},
eprint = {2609.16025},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16025},
}
RIS
TY - UNPB
TI - Does the problem of the Nile have a solution?
AU - Guillaume Chèze
AU - François Ollivier
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.16025
UR - https://arxiv.org/abs/2609.16025
AB - The problem of the Nile has been stated by R. Fisher in 1936. This problem concerns the fair division of an agricultural land and is the eponymous problem of a general class of problems on measures and similar regions. In 1938, W. Feller has shown that the general problem has no solution. However, we will show that under a natural hypothesis, the original problem of the Nile is solvable with connected plots.
ER -