Journal of Statistical Physics

, Volume 107, Issue 1–2, pp 225–239 | Cite as

Parrondo Games as Lattice Gas Automata

  • David A. Meyer
  • Heather Blumer


Parrondo games are coin flipping games with the surprising property that alternating plays of two losing games can produce a winning game. We show that this phenomenon can be modelled by probabilistic lattice gas automata. Furthermore, motivated by the recent introduction of quantum coin flipping games, we show that quantum lattice gas automata provide an interesting definition for quantum Parrondo games.

parrondo games lattice gas automata quantum games quantum lattice gas automata correlated random walk 


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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • David A. Meyer
    • 1
    • 2
  • Heather Blumer
    • 2
  1. 1.Project in Geometry and Physics, Department of MathematicsUniversity of California/San DiegoLa Jolla
  2. 2.Institute for Physical SciencesLos Alamos

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