, Volume 90, Issue 7, pp 327–331 | Cite as

An example of the prisoner's dilemma in biochemistry

Short Communication


Two strains of microorganisms that both use sugar as energy resource, but which may choose between two different pathways of ATP production, are studied from a game-theory point of view. We consider these pathways as distinct strategies to which we assign payoffs that are proportional to the expected steady-state number of individuals sustainable on the basis of these strategies. In a certain parameter range, we find that the payoffs fulfil the conditions for the prisoner's dilemma. Therefore, cooperative behaviour is unlikely to occur, unless additional factors intervene. In fact, the yeast Saccharomyces cerevisiae uses a competitive strategy by fermenting sugars even under aerobic conditions, thus wasting its own resource. The simple quantifiable structure of the model should enable access to an experimentally determined payoff matrix.


Nash Equilibrium Payoff Cooperative Behaviour Resource Level Public Good Game 



We would like to thank Thomas Pfeiffer (Zürich), Dr. Konrad Oexle (Singen) and Dr. W. Voelter (Tübingen) for stimulating discussions. Financial support to S.S. by the Deutsche Forschungsgemeinschaft is gratefully acknowledged.


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Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  1. 1.Institute of Biology, Theoretical BiophysicsHumboldt University BerlinBerlinGermany
  2. 2.Department of BioinformaticsJena UniversityJenaGermany

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