Volume 9, Issue 2 (9-2023)                   mmr 2023, 9(2): 1-14 | Back to browse issues page

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1- Imam Khomeini International University , shivanian@sci.ikiu.ac.ir
2- Buein Zahra University
3- Shahed University
Abstract:   (751 Views)
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.
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Type of Study: Original Manuscript | Subject: Mat
Received: 2020/09/27 | Revised: 2024/02/6 | Accepted: 2021/05/1 | Published: 2023/12/3 | ePublished: 2023/12/3

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