We present a variation of the water puzzle, which is related to a simple model of marginal utility. The problem has an intriguing solution and can be extended in several directions.
@article{arxiv.2404.10015,
title = {The Water Puzzle and Marginal Utility Optimization},
author = {Yaakov Malinovsky and Isaac M. Sonin},
journal= {arXiv preprint arXiv:2404.10015},
year = {2025}
}