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

被引：5

作者：

Akamatsu, Takashi ^{[1
]}

Fujishima, Shota ^{[2
]}

Takayama, Yuki ^{[3
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, 6-6-6 Aoba, Sendai, Miyagi 9808579, Japan

[2] Tokyo Univ Sci, Sch Management, 1-11-2 Fujimi, Tokyo 1020071, Japan

[3] Kanazawa Univ, Inst Sci & Engn, Kanazawa, Ishikawa 9201192, Japan

来源：

JOURNAL OF MATHEMATICAL ECONOMICS | 2017年 / 69卷

基金：

日本学术振兴会;

关键词：

Social interaction; Agglomeration; Discrete space; Potential game; Stability; Evolutionary game theory; EVOLUTIONARY IMPLEMENTATION; CELLULAR-AUTOMATA; POTENTIAL GAMES; CITY; PREFERENCES; DYNAMICS; PATTERNS; FIRMS;

D O I：

10.1016/j.jmateco.2016.12.007

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

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. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：22 / 37

页数：16

共 37 条

[1]

Akamatsu T, 2010, J JPN SOC CIV ENG D, V66, P232

[2]

Akamatsu T., 2014, STABLE EQUILIBRIA DI

[3] TRADE AND THE TOPOGRAPHY OF THE SPATIAL ECONOMY [J].