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PubMed · 16090006

Phase transitions in multiplicative competitive processes.

Hideaki Shimazaki·Ernst Niebur
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Abstract

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 competition, predicting novel population dynamics near criticality.

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AnimalsBiological EvolutionCompetitive BehaviorEcosystemGame TheoryHumansMathematicsModels, BiologicalModels, StatisticalModels, TheoreticalMutationPopulation DynamicsSocial BehaviorStochastic ProcessesTemperatureTime FactorsJournal ArticleResearch Support, N.I.H., ExtramuralResearch Support, Non-U.S. Gov'tResearch Support, U.S. Gov't, P.H.S.

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Hideaki Shimazaki, Ernst Niebur. 2005-07-20. Phase transitions in multiplicative competitive processes.. https://doi.org/10.1103/physreve.72.011912

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