G
Gleb A. Koshevoy
Researcher at Russian Academy of Sciences
Publications - 110
Citations - 1663
Gleb A. Koshevoy is an academic researcher from Russian Academy of Sciences. The author has contributed to research in topics: Convexity & Condorcet method. The author has an hindex of 19, co-authored 106 publications receiving 1479 citations. Previous affiliations of Gleb A. Koshevoy include Indian Institute of Technology Patna & Union Institute & University.
Papers
More filters
Journal ArticleDOI
Zonoid trimming for multivariate distributions
Gleb A. Koshevoy,Karl Mosler +1 more
TL;DR: In this article, a family of trimmed regions is introduced for a probability distribution in Euclidean d-space, and a trimming transform is constructed that injectively maps a given distribution to a distribution having a unique median.
Journal ArticleDOI
Discrete convexity and equilibria in economies with indivisible goods and money
TL;DR: It turns out, that a main reason for the existence of an economy with many indivisible goods and one perfectly divisible good is that supplies and demands of indIVisible goods should be sets of a class of discrete convexity.
Journal ArticleDOI
The Lorenz Zonoid of a Multivariate Distribution
Gleb A. Koshevoy,Karl Mosler +1 more
TL;DR: In this article, the authors extend the usual Lorenz curve and Lorenz order of univariate distributions to the multivariate case and introduce the set inclusion of Lorenz zonoids and show that it is equivalent to directional majorization.
Journal ArticleDOI
Multivariate Gini Indices
Gleb A. Koshevoy,Karl Mosler +1 more
TL;DR: Two extensions of the univariate Gini index are considered: RD, based on expected distance between two independent vectors from the same distribution with finite mean, and RV, related to the expected volume of the simplex formed fromd+1 independent such vectors as discussed by the authors.
Journal ArticleDOI
Choice functions and abstract convex geometries
TL;DR: In this article, it is shown that the classes of ordinally rationalizable and path independent choice functions are related to the class of distributive and anti-exchange closure operators.