Segregation through Conflict

Abstract

This paper begins by introducing the game theory to explain how an institution emerges. It then goes on to employ a conflict model, using the probability distribution introduced by Koshmanenko, to show how institutions emerge through mathematical formation. This is followed by a consideration of the authors' development of a segregation simulation based on this conflict theory. An institution is defined as the equilibrium achieved through the segregation of conflicting groups (for example groups differing according to "race", or language, education or income level among other factors). A simulation is made explaining how equilibrium is reached through changing probability. This simulation also shows the dynamics of an emerging new order.

The theory of dynamical systems of conflict in the framework of functional analysis

“…A bit of history. The classical approaches to the conflict phenomenon and its applications have been discussed in many publications (see, for example, [5][6][7][8], [11], [14][15][16][17], [20], [10,[21][22][23], [27]). Here we shortly recall only some of well-known relating equations, models and versions: ´the Malthus-Verhulst population equation describing the dynamics of internal competition, dP dt = (b ´d)P ´cP 2 , ´the logistic equation…”