2 papers
cs.GT2026
The Game of Marginal Utilities
Isaac M. Sonin, Georgy Gaitsgori, Yaakov Malinovsky
We study a noncooperative resource-allocation game in which players distribute fixed resources among projects and the payoff of player is given by \[ F^j(x) = \sum_{i=1…
math.OC2025
The Water Puzzle and Marginal Utility Optimization
Yaakov Malinovsky, Isaac M. Sonin
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…