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Probabilistic flows of inhabitants in urban areas and self-organization in housing markets

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  • Takao Hishikawa
  • Jun-ichi Inoue

Abstract

We propose a simple probabilistic model to explain the spatial structure of the rent distribution of housing market in city of Sapporo. Here we modify the mathematical model proposed by Gauvin et. al. Especially, we consider the competition between two distances, namely, the distance between house and center, and the distance between house and office. Computer simulations are carried out to reveal the self-organized spatial structure appearing in the rent distribution. We also compare the resulting distribution with empirical rent distribution in Sapporo as an example of cities designated by ordinance. We find that the lowest ranking agents (from the viewpoint of the lowest `willing to pay') are swept away from relatively attractive regions and make several their own `communities' at low offering price locations in the city.

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  • Takao Hishikawa & Jun-ichi Inoue, 2014. "Probabilistic flows of inhabitants in urban areas and self-organization in housing markets," Papers 1406.6100, arXiv.org.
    • Handle: RePEc:arx:papers:1406.6100
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    References listed on IDEAS

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    1. Masahisa Fujita & Paul Krugman & Anthony J. Venables, 2001. "The Spatial Economy: Cities, Regions, and International Trade," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262561476, December.
    2. He Chen & Jun-ichi Inoue, 2012. "Dynamics of probabilistic labor markets: statistical physics perspective," Lecture Notes in Economics and Mathematical Systems, in: Andrea Teglio & Simone Alfarano & Eva Camacho-Cuena & Miguel Ginés-Vilar (ed.), Managing Market Complexity, edition 127, chapter 0, pages 53-64, Springer.
    3. He Chen & Jun-ichi Inoue, 2013. "Learning curve for collective behavior of zero-intelligence agents in successive job-hunting processes with a diversity of Jaynes-Shannon's MaxEnt principle," Papers 1309.5053, arXiv.org.
    4. He Chen & Jun-ichi Inoue, 2013. "Statistical Mechanics of Labor Markets," Papers 1309.5156, arXiv.org.
    5. He Chen & Jun-ichi Inoue, 2013. "Dynamics of probabilistic labor markets: statistical physics perspective," Papers 1309.5158, arXiv.org.
    6. Gauvin, Laetitia & Vignes, Annick & Nadal, Jean-Pierre, 2013. "Modeling urban housing market dynamics: Can the socio-spatial segregation preserve some social diversity?," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1300-1321.
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