TY - JOUR
AU - V. D. Koshmanenko
AU - S. M. Petrenko
PY - 2016/01/25
Y2 - 2022/10/01
TI - Hahn-Jordan decomposition as an equilibrium state of the
conflict system
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 68
IS - 1
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1822
AB - The notion of conflict system is introduced in terms of couples of probability measures. We construct several models of conflict systems and show that every trajectory with initial state given by a couple of measures $\mu,
u$ converges to an equilibrium state specified by the normalized components $\mu_+,
u_+$ of the classical Hahn – Jordan decomposition of thesigned measure $\omega = \mu -
u$.
ER -