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Effects of Saving and Spending Patterns on Holding Time Distribution

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  • Ning Ding
  • Ning Xi
  • Yougui Wang

Abstract

The effects of saving and spending patterns on holding time distribution of money are investigated based on the ideal gas-like models. We show the steady-state distribution obeys an exponential law when the saving factor is set uniformly, and a power law when the saving factor is set diversely. The power distribution can also be obtained by proposing a new model where the preferential spending behavior is considered. The association of the distribution with the probability of money to be exchanged has also been discussed.

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  • Ning Ding & Ning Xi & Yougui Wang, 2005. "Effects of Saving and Spending Patterns on Holding Time Distribution," Papers physics/0507149, arXiv.org.
    • Handle: RePEc:arx:papers:physics/0507149
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    1. Aoki,Masanao, 1998. "New Approaches to Macroeconomic Modeling," Cambridge Books, Cambridge University Press, number 9780521637695, September.
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    1. Arnab Chatterjee & Bikas K Chakrabarti, 2005. "Ideal-Gas Like Markets: Effect of Savings," Papers physics/0507136, arXiv.org, revised Jul 2005.
    2. Xing, Xiaoyun & Xiong, Wanting & Chen, Liujun & Chen, Jiawei & Wang, Yougui & Stanley, H. Eugene, 2018. "Money circulation and debt circulation: A restatement of quantity theory of money," Economics Discussion Papers 2018-1, Kiel Institute for the World Economy (IfW Kiel).
    3. Yougui Wang & Ning Ding, 2005. "Dynamic Process of Money Transfer Models," Papers physics/0507162, arXiv.org.
    4. Yougui Wang & Ning Ding & Ning Xi, 2005. "Prospects for Money Transfer Models," Papers physics/0507161, arXiv.org.
    5. Newby, Michael & Behr, Adam & Feizabadi, Mitra Shojania, 2011. "Investigating the distribution of personal income obtained from the recent U.S. data," Economic Modelling, Elsevier, vol. 28(3), pages 1170-1173, May.

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