Financial price fluctuations in a stock market model with many interacting agents

被引:32
作者
Horst, U [1 ]
机构
[1] Humboldt Univ, Inst Math, D-10099 Berlin, Germany
关键词
agent-based modelling; diffusion models for financial markets; contagion effects; bubbles and crashes;
D O I
10.1007/s00199-004-0500-x
中图分类号
F [经济];
学科分类号
02 ;
摘要
We consider a financial market model with a large number of interacting agents. Investors are heterogeneous in their expectations about the future evolution of an asset price process. Their current expectation is based on the previous states of their "neighbors" and on a random signal about the "mood of the market." We analyze the asymptotics of both aggregate behavior and asset prices. We give sufficient conditions for the distribution of equilibrium prices to converge to a unique equilibrium, and provide a microeconomic foundation for the use of diffusion models in the analysis of financial price fluctuations.
引用
收藏
页码:917 / 932
页数:16
相关论文
共 21 条
[2]  
BILLINGSLEY P., 1999, Convergence of Probability Measures, V2nd, DOI 10.1002/9780470316962
[3]   THE STOCHASTIC EQUATION YN+1=ANYN+BN WITH STATIONARY COEFFICIENTS [J].
BRANDT, A .
ADVANCES IN APPLIED PROBABILITY, 1986, 18 (01) :211-220
[4]   Heterogeneous beliefs and routes to chaos in a simple asset pricing model [J].
Brock, WA ;
Hommes, CH .
JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 1998, 22 (8-9) :1235-1274
[5]   BULLS, BEARS AND MARKET SHEEP [J].
DAY, RH ;
HUANG, WH .
JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION, 1990, 14 (03) :299-329
[6]  
DUFFIE D, 1992, MATH FINANC, V2, P1, DOI DOI 10.1111/j.1467-9965.1992.tb00022.x
[7]   Convergence of locally and globally interacting Markov chains [J].
Föllmer, H ;
Horst, U .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2001, 96 (01) :99-121
[8]   TAIL STRUCTURE OF MARKOV-CHAINS ON INFINITE PRODUCT-SPACES [J].
FOLLMER, H .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1979, 50 (03) :273-285
[9]  
FOLLMER H, 1994, PHILOS T R SOC A, V1684, P471
[10]  
Follmer H., 1993, MATH FINANC, V3, P1, DOI DOI 10.1111/J.1467-9965.1993.TB00035.X