10 papers
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…
Distinct Extreme Scores in Random Round-Robin Tournaments
Yaakov Malinovsky
We consider a general round-robin tournament model with equally strong players, where denotes the score of player against player . We assume that takes val…
Extreme Score Distributions in Countable-Outcome Round-Robin Tournaments of Equally Strong Players
Yaakov Malinovsky
We consider a general class of round-robin tournament models of equally strong players. In these models, each of the players competes against every other player exactly once. F…
Optimal single threshold stopping rules and sharp prophet inequalities
Alexander Goldenshluger, Yaakov Malinovsky, Assaf Zeevi
This paper considers a finite horizon optimal stopping problem for a sequence of independent and identically distributed random variables, where the objective is to design stopping…
Uniqueness of Maximum Scores in Countable-Outcome Round-Robin Tournaments
Gideon Amir, Yaakov Malinovsky
In this note, we extend a recent result on the uniqueness of the maximum score in a classical round-robin tournament to general round-robin tournament models with equally strong pl…
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…