Theorem of conflicts for a pair of probability measures

Volodymyr Koshmanenko ()

Mathematical Methods of Operations Research, 2004, vol. 59, issue 2, 303-313

Abstract: We develop mathematical tools suitable for the construction of conflict models with non-annihilating adversaries. In a set of probability measures we introduce a non-commutative conflict composition and consider the associated dynamical system. We prove 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 existence space (the pure repelling effect). Copyright Springer-Verlag 2004

Keywords: Probability measure; Conflict composition; Discrete measure; Stochastic vector; Dynamical system; Mutually singular measures (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:59:y:2004:i:2:p:303-313

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DOI: 10.1007/s001860300330

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