Discrete-space agglomeration model with social interactions: Multiplicity, stability, and continuous limit of equilibria

Takashi Akamatsu, Shota Fujishima, Yuki Takayama

研究成果: Article

2 引用 (Scopus)

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This study examines the properties of equilibrium, including the stability, of discrete-space agglomeration models with social interactions. The findings reveal that while the corresponding continuous-space model has a unique equilibrium, the equilibrium in discrete space can be non-unique for any finite degree of discretization by characterizing the discrete-space model as a potential game. Furthermore, it indicates that despite the above result, any sequence of discrete-space models’ equilibria converges to the continuous-space model's unique equilibrium as the discretization of space is refined.

元の言語English
ページ(範囲)22-37
ページ数16
ジャーナルJournal of Mathematical Economics
69
DOI
出版物ステータスPublished - 2017 3 1

ASJC Scopus subject areas

  • Economics and Econometrics
  • Applied Mathematics

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