We construct a simplest model of complex dynamical system describing the behavior of individuals (persons) in a conflict socium. The main problem is to find  the personal strategy for providing of the best priority or at least  survival.  We show that wild law of conflict interaction, "each against all"  ,  leads to the single winner, which possesses the maximal starting priority, all other individuals died. However, a choice of   visible strategy may supply the  reliable survival and even high  priority  for  individual with a small starting power.       We consider a conflict socium    consisting of a big number  of similar individuals (agents)  living on a common resource space and  mutually fighting  for priority or survival.  In the simplest case  each agent  is characterized  by a single power value.  The law of a conflict interaction  "each against all"  in the mathematical form is written by the  explicit difference equation.       We expose various spectrum of personal evolution of  depending on choice of different strategies  and  propose the making decision problem interpretation of our model.

• Legal notice:
  

  Copyright (c) Pielaszek Research, all rights reserved.
  The above materials, including auxiliary resources, are subject to Publisher's copyright and the Author(s) intellectual rights. Without limiting Author(s) rights under respective Copyright Transfer Agreement, no part of the above documents may be reproduced without the express written permission of Pielaszek Research, the Publisher. Express permission from the Author(s) is required to use the above materials for academic purposes, such as lectures or scientific presentations.
  In every case, proper references including Author(s) name(s) and URL of this webpage: https://science24.com/paper/32443 must be provided.