Theorem of conflicts for a pair of probability measures
type: Item
instance of: scholarly article
title: Theorem of conflicts for a pair of probability measures
zbMATH Open document ID: 1106.91015
author: Volodymyr Koshmanenko
published in: Mathematical Methods of Operations Research
publication date: 2005-02-11T00:00:00Z
review text: This paper provides mathematical tools suitable for the construction of conflict models with non-annihilating adversaries, and also introduces a non-commutative conflict composition in a set of probability measures and then deals with the associated dynamical system. It is proved that for each couple of non-identical mutually nonsingular measures the corresponding trajectory of the dynamical system converges to an invariant point represented by a pair of mutually singular measures. The disjoint supports of the limiting measures determine the final re-distribution of the starting area of conflict as a result of an ``infinite war'' for the existence space.
reviewed by: Xianping Guo
Mathematics Subject Classification ID: 91A15
Mathematics Subject Classification ID: 91B74
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 37N40
zbMATH DE Number: 2133466
zbMATH Keywords: conflict composition
zbMATH Keywords: discrete measure
zbMATH Keywords: stochastic vector
zbMATH Keywords: dynamical system
zbMATH Keywords: mutually singular measures
MaRDI profile type: Publication
full work available at URL: s001860300330
OpenAlex ID: W2156759855
DOI: 10.1007/S001860300330
description: scientific article; zbMATH DE number 2133466