arXiv subjects

Alexei Savvateev

Publications and source records attributed to Alexei Savvateev.

4 recordsLinked to original sources

arXiv2026

Breaking the Chain: Division Norms and Criminal Deterrence

In organized crime, membership moves fastest, deterrence capacity moves more slowly, and division norms move slowest. We model this in three stages: division norms fix how every possible coalition divides its proceeds; the authority then attaches deterrence capacity to named members before knowing which coalition will form; membership adjusts last, around whoever remains undeterred. Under population-monotone division, the minimum deterrence budget is the cost of a shortest dismantling path, removing one member at a time. When the Shapley value is population monotone, it uniquely maximizes this budget by making every path equally costly.

econ.TH↗

arXiv2025

On the occasion of Dr. Ivan Dmitrievich Remizov's 40th birthday

This article celebrates the 40th anniversary of Dr. Ivan Dmitrievich Remizov, a mathematician who made a number of important contributions to the theory of one-parameter operator semigroups -- a branch of functional analysis which has applications to differential equations, mathematical physics, random processes, control theory, and quantum mechanics. Born on December 7, 1984, Dr. Remizov obtained his Ph.D. in 2018 from Moscow State University and has made substantial contributions, particularly in the study of Chernoff approximations of one-parameter semigroups of operators. This article reviews his academic background, research achievements, and his impact on the mathematical community.

math.HO↗

arXiv2018

On the geometric median of triangular domains and other median type points

The geometric median of a domain is the point that minimises the average distance from itself to the points of the domain. We will give a gradient system of equations that defines the geometric median of a triangular domain and will prove a simple geometric property of the median. This property states that all three average distances from the median to the sides of the triangle are equal. Further we generalise these results to other types of domains and to other types of median like points.

math.OC↗

arXiv2005

The egalitarian sharing rule in provision of public projects

In this note we consider a society that partitions itself into disjoint jurisdictions, each choosing a location of its public project and a taxation scheme to finance it. The set of public project is multi-dimensional, and their costs could vary from jurisdiction to jurisdiction. We impose two principles, egalitarianism, that requires the equalization of the total cost for all agents in the same jurisdiction, and efficiency, that implies the minimization of the aggregate total cost within jurisdiction. We show that these two principles always yield a core-stable partition but a Nash stable partition may fail to exist.

cs.GT↗