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Bose-Einstein Condensation in Competitive Processes

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  • Hideaki Shimazaki
  • Ernst Niebur

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.

Suggested Citation

  • Hideaki Shimazaki & Ernst Niebur, 2003. "Bose-Einstein Condensation in Competitive Processes," Papers cond-mat/0303298, arXiv.org, revised Apr 2003.
    • Handle: RePEc:arx:papers:cond-mat/0303298
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