Study on Dynamical Model on Radon Measures and its Application to Urban Structure Models

2016 Fiscal Year Final Research Report

• Project/Area Number: 26630192
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Control engineering/System engineering
• Research Institution: Hokkaido University
• Principal Investigator: Yamashita Yuh 北海道大学, 情報科学研究科, 教授 (90210426)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: Radon測度 / 都市構造 / ポテンシャルゲーム / 無限次元系 / KKT条件

Outline of Final Research Achievements

In this study, we investigate the process of unit-location determination, where spatially distributed infinitely many units exist. Some relationships among unit groups, e.g. communications, trades, and commuting, are considered, and the relationships can be expressed by Radon measures. We construct a new framework by which the relationships and locations are governed. The Nash equilibrium conditions are merged into one potential functional, which becomes a Lyapunov functional of the proposed dynamical model. The obtained results are applied to the problem of the urban structure, and we confirm that the dynamical model converges to the theoretical Nash equilibrium, by performing computer simulations.

Free Research Field

システム制御理論