Bose-Einstein Condensation in Competitive Processes

TL;DR

This paper presents a new model of competitive processes inspired by Bose-Einstein condensation, explaining how entities with different abilities compete for resources and dominate in various fields.

Contribution

It introduces an irreversible multiplicative process model that captures competition dynamics and provides principles for understanding dominance and evolution in diverse systems.

Findings

Identifies conditions for dominance in competitive systems

Provides a unified framework for genetics, ecology, and economy

Highlights critical ability distributions for success

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.