Expectation bubbles in a spin model of markets: Intermittency from frustration across scales

被引:137
作者
Bornholdt, S [1 ]
机构
[1] Univ Kiel, Inst Theoret Phys, D-24098 Kiel, Germany
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2001年 / 12卷 / 05期
关键词
econophysics; dynamics of markets; statistical mechanics of spin models; order-disorder transitions; metastability; self-organization;
D O I
10.1142/S0129183101001845
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A simple spin model is studied, motivated by the dynamics of traders in a market, where expectation bubbles and crashes occur. The dynamics is governed by interactions, which are frustrated across different scales: while ferromagnetic couplings connect each spin to its local neighborhood, an additional coupling relates each spin to the global magnetization. This new coupling is allowed to be anti-ferromagnetic. The resulting frustration causes a metastable dynamics with intermittency and phases of chaotic dynamics. The model reproduces main observations of real economic markets as power-law distributed returns and clustered volatility.
引用
收藏
页码:667 / 674
页数:8
相关论文
共 22 条
  • [1] [Anonymous], 1996, NEW APPROACHES MACRO
  • [2] ARTHUR WB, 1994, AM ECON REV, V84, P406
  • [3] THE STATISTICAL-MECHANICS OF STRATEGIC INTERACTION
    BLUME, LE
    [J]. GAMES AND ECONOMIC BEHAVIOR, 1993, 5 (03) : 387 - 424
  • [4] Bouchand J.-P., 2001, Quantitative Finance, V1, P105, DOI 10.1088/1469-7688/1/1/307
  • [5] CHALLET D, 1997, PHYSICA A, V246, P498
  • [6] CHALLET D, CONDMAT0101326
  • [7] A generalized spin model of financial markets
    Chowdhury, D
    Stauffer, D
    [J]. EUROPEAN PHYSICAL JOURNAL B, 1999, 8 (03) : 477 - 482
  • [8] Cont R, 2000, MACROECON DYN, V4, P170
  • [9] FOELLMER H, 1974, J MATH ECON, V1, P51
  • [10] Scaling of the distribution of fluctuations of financial market indices
    Gopikrishnan, P
    Plerou, V
    Amaral, LAN
    Meyer, M
    Stanley, HE
    [J]. PHYSICAL REVIEW E, 1999, 60 (05): : 5305 - 5316