<p>We study the structure of the point spectrum in the limit (in time) states of dynamical conflict systems in terms of probability measures. It is shown that a necessary and sufficient condition for the appearance of measures with point spectra is a single priority strategy. In this case, we establish the exponential rate of concentration of the distributions with point spectrum and its density in the phase space. The possibility of using information about the structure of point spectrum in a new mathematical model of the formation of beliefs among individuals in an abstract society is proposed.</p>

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Point Spectrum in the Equilibrium States of Dynamical Conflict Systems and its Role in the Models of Beliefs Formation

  • Volodymyr Koshmanenko,
  • Oksana Satur

摘要

We study the structure of the point spectrum in the limit (in time) states of dynamical conflict systems in terms of probability measures. It is shown that a necessary and sufficient condition for the appearance of measures with point spectra is a single priority strategy. In this case, we establish the exponential rate of concentration of the distributions with point spectrum and its density in the phase space. The possibility of using information about the structure of point spectrum in a new mathematical model of the formation of beliefs among individuals in an abstract society is proposed.