dorsal/arxiv
View SchemaAn interacting-agent model of financial markets from the viewpoint of nonextensive statistical mechanics
| Authors | Taisei Kaizoji |
|---|---|
| Categories | |
| ArXiv ID | physics/0601106 |
| URL | https://arxiv.org/abs/physics/0601106 |
| DOI | 10.1016/j.physa.2006.04.031 |
| Journal | Physica A370 (2006) 109-113 |
Abstract
In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders' investment attitudes [1], and formulate the traders' decision-making regarding investment as the maximum entropy principle for nonextensive entropy. We demonstrate that the equilibrium probability distribution function of the traders' investment attitude is the {\it q-exponential distribution}. We also show that the power-law distribution of the volatility of price fluctuations, which is often demonstrated in empirical studies, can be explained naturally by our model which is based on the collective crowd behavior of many interacting agents.
{
"annotation_id": "64eab089-4df2-49ba-b71d-71d1d4e571d5",
"date_created": "2026-03-02T18:01:03.659000Z",
"date_modified": "2026-03-02T18:01:03.659000Z",
"file_hash": "20f90c54ea6e12e4062d6e7ba400bccbe4a76890ad48ceee6e941041fbdbaf14",
"private": false,
"record": {
"abstract": "In this paper we present an interacting-agent model of stock markets. We\ndescribe a stock market through an Ising-like model in order to formulate the\ntendency of traders getting to be influenced by the other traders\u0027 investment\nattitudes [1], and formulate the traders\u0027 decision-making regarding investment\nas the maximum entropy principle for nonextensive entropy. We demonstrate that\nthe equilibrium probability distribution function of the traders\u0027 investment\nattitude is the {\\it q-exponential distribution}. We also show that the\npower-law distribution of the volatility of price fluctuations, which is often\ndemonstrated in empirical studies, can be explained naturally by our model\nwhich is based on the collective crowd behavior of many interacting agents.",
"arxiv_id": "physics/0601106",
"authors": [
"Taisei Kaizoji"
],
"categories": [
"physics.soc-ph",
"q-fin.TR"
],
"doi": "10.1016/j.physa.2006.04.031",
"journal_ref": "Physica A370 (2006) 109-113",
"title": "An interacting-agent model of financial markets from the viewpoint of nonextensive statistical mechanics",
"url": "https://arxiv.org/abs/physics/0601106"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f365858c-3ecc-411c-8ad6-d9587c3879be",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}