Presentation 2013-01-24
Probabilistic flows of inhabitants in urban areas and self-organization in housing markets of a city designated by ordinance
Takao HISHIKAWA, Jun-ichi INOUE,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We propose a very simple probabilistic model to explain the rent distribution of housing market in Sapporo city. Here we modify the mathematical model proposed by Gauvin et.al.(2012) [1]. In their mathematical modeling, they utilized several assumptions to describe the decision making of each inhabitant in Paris. Namely, they assumed that the intrinsic attractiveness of a city depends on the location and there exists a single peak at the center. They also used the assumption that each inhabitant tends to choose the place where the other inhabitants having the similar or superior income to himself/herself are living. In order to find the best possible place to live, each buyer in the system moves from one place to the other according to the transition (aggregation) probability de-scribed by the above two assumption and makes a deal with the seller who presents the best condition for the buyer. They concluded that the resultant self-organized rent distribution is consistent with the corresponding empirical evidence in Paris. However, it is hard for us to apply their model directly to the other cities having plural centers (not only a single center as in Paris). Hence, here we shall modify the Gauvin's model to include the much more detail structure of the attractiveness by taking into account the empirical data concerning the housing situation in Sapporo city. We also 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 structure appearing in the rent distribution. We also compare the resultant distribution with the empirical rent distribution in Sapporo as an example of cities designated by ordinance.
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Keyword(in English) Housing market / Empirical data analysis / Self-organization / Probabilistic model / Sociophysics
Paper # NLP2012-113,NC2012-103
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Conference Information
Committee NLP
Conference Date 2013/1/17(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Probabilistic flows of inhabitants in urban areas and self-organization in housing markets of a city designated by ordinance
Sub Title (in English)
Keyword(1) Housing market
Keyword(2) Empirical data analysis
Keyword(3) Self-organization
Keyword(4) Probabilistic model
Keyword(5) Sociophysics
1st Author's Name Takao HISHIKAWA
1st Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University()
2nd Author's Name Jun-ichi INOUE
2nd Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University
Date 2013-01-24
Paper # NLP2012-113,NC2012-103
Volume (vol) vol.112
Number (no) 389
Page pp.pp.-
#Pages 6
Date of Issue