Article
Phase transitions in multiplicative competitive processes.
Physical review. E, Statistical, nonlinear, and soft matter physics - 1 Jul 2005
Shimazaki Hideaki, Niebur Ernst
Abstract excerpt
We introduce a discrete multiplicative process as a generic model of competition. Players with different abilities successively join the game and compete for finite resources. Emergence of dominant players and evolutionary development occur as a phase transition. The competitive dynamics underlying this transition is understood from a formal analogy to statistical mechanics. The theory is applicable to bacterial...
Read the complete abstract on PubMedTopics
Share this publication in a Topic to start or enrich a Post.