Bose-Einstein Condensation in Competitive Processes
Statistical Mechanics
2013-05-29 v2 General Finance
Abstract
We introduce an irreversible discrete multiplicative process that undergoes Bose-Einstein condensation as a generic model of competition. New players with different abilities successively join the game and compete for limited resources. A player's future gain is proportional to its ability and its current gain. The theory provides three principles for this type of competition: competitive exclusion, punctuated equilibria, and a critical condition for the distribution of the players' abilities necessary for the dominance and the evolution. We apply this theory to genetics, ecology and economy.
Cite
@article{arxiv.cond-mat/0303298,
title = {Bose-Einstein Condensation in Competitive Processes},
author = {Hideaki Shimazaki and Ernst Niebur},
journal= {arXiv preprint arXiv:cond-mat/0303298},
year = {2013}
}
Comments
4 pages, 3 figures, submitted to PRL