Preferential growth: Solution and application to modeling stock market

L. Kullmann; J. Kertész

doi:10.1016/S0378-4371(01)00286-2

Preferential growth: Solution and application to modeling stock market

L. Kullmann, J. Kertész^*

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

Abstract (may include machine translation)

We consider a preferential growth model where particles are added one by one to the system consisting of clusters of particles. A new particle can either form a new cluster (with probability q) or join an already existing cluster with a probability proportional to the size thereof. We calculate exactly the probability P_i(k,t) that the size of the ith cluster at time t is k. We applied our model as a background for a microscopic economic model.

Original language	English
Pages (from-to)	121-126
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	299
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-4371(01)00286-2
State	Published - 1 Oct 2001
Externally published	Yes
Event	Application of Physics in Economic Modelling (NATO ARW) - Prague, Czech Republic Duration: 8 Feb 2001 → 10 Feb 2001

Keywords

Modeling stock market
Preferential growth

Access to Document

10.1016/S0378-4371(01)00286-2

Cite this

@article{7a4c2c9364af4c6b86d8d09dafb717b2,

title = "Preferential growth: Solution and application to modeling stock market",

abstract = "We consider a preferential growth model where particles are added one by one to the system consisting of clusters of particles. A new particle can either form a new cluster (with probability q) or join an already existing cluster with a probability proportional to the size thereof. We calculate exactly the probability Pi(k,t) that the size of the ith cluster at time t is k. We applied our model as a background for a microscopic economic model.",

keywords = "Modeling stock market, Preferential growth",

author = "L. Kullmann and J. Kert{\'e}sz",

year = "2001",

month = oct,

day = "1",

doi = "10.1016/S0378-4371(01)00286-2",

language = "English",

volume = "299",

pages = "121--126",

journal = "Physica A: Statistical Mechanics and its Applications",

issn = "0378-4371",

number = "1-2",

note = "Application of Physics in Economic Modelling (NATO ARW) ; Conference date: 08-02-2001 Through 10-02-2001",

}

TY - JOUR

T1 - Preferential growth

T2 - Application of Physics in Economic Modelling (NATO ARW)

AU - Kullmann, L.

AU - Kertész, J.

PY - 2001/10/1

Y1 - 2001/10/1

N2 - We consider a preferential growth model where particles are added one by one to the system consisting of clusters of particles. A new particle can either form a new cluster (with probability q) or join an already existing cluster with a probability proportional to the size thereof. We calculate exactly the probability Pi(k,t) that the size of the ith cluster at time t is k. We applied our model as a background for a microscopic economic model.

AB - We consider a preferential growth model where particles are added one by one to the system consisting of clusters of particles. A new particle can either form a new cluster (with probability q) or join an already existing cluster with a probability proportional to the size thereof. We calculate exactly the probability Pi(k,t) that the size of the ith cluster at time t is k. We applied our model as a background for a microscopic economic model.

KW - Modeling stock market

KW - Preferential growth

UR - https://www.scopus.com/pages/publications/0035471943

U2 - 10.1016/S0378-4371(01)00286-2

DO - 10.1016/S0378-4371(01)00286-2

M3 - Conference article

AN - SCOPUS:0035471943

SN - 0378-4371

VL - 299

SP - 121

EP - 126

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2

Y2 - 8 February 2001 through 10 February 2001

ER -

Preferential growth: Solution and application to modeling stock market

Abstract (may include machine translation)

Keywords

Access to Document

Other files and links

Fingerprint

Cite this