TY - JOUR
T1 - On the generalization of evolutionary continuous model in random markets
TT - یک مدل تعمیم یافته از فرایند تکاملی پیوسته در بازارهای تصادفی
JF - khu-mmr
JO - khu-mmr
VL - 9
IS - 2
UR - http://mmr.khu.ac.ir/article-1-3131-en.html
Y1 - 2023
SP - 1
EP - 14
KW - equilibrium state
KW - evolutionary model
KW - nonlinear operator
KW - Random markets
N2 - A generalization of the continuous economic model is proposed for random markets. In this model, agents interact by pairs and exchange their money in a random way, in general, with possibly non- constant total amount of “money”. This model takes the form of an iterated nonlinear map of the distribution of wealth. We show the only way to reach equilibrium fixed point distribution is the agents to share their money without expansion or contraction factor. Furthermore, it is proved the higher momenta of the distribution exist and the iteration of higher momenta becomes stable under some specific conditions.
M3
ER -