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The replicator dynamics of zero-sum games arise from a novel Poisson algebra

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Publication:2169373
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DOI10.1016/j.chaos.2021.111508zbMath1498.91052arXiv2109.02421OpenAlexW3214504665MaRDI QIDQ2169373

Christopher Griffin

Publication date: 2 September 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.02421


zbMATH Keywords

replicator dynamicsPoisson bracketzero-sum gameNambu bracket


Mathematics Subject Classification ID

Hamilton's equations (70H05) Evolutionary games (91A22)


Related Items (1)

Generalized Hamiltonian dynamics and chaos in evolutionary games on networks



Cites Work

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  • Hamiltonian evolutionary games
  • Coevolutionary instability of mixed Nash solutions
  • Evolutionary dynamics of zero-sum games
  • Evolutionary dynamics for bimatrix games: A Hamiltonian system?
  • Stability and diversity in collective adaptation
  • Fundamentals of Evolutionary Game Theory and its Applications
  • Evolutionary Games and Population Dynamics
  • Evolutionary game dynamics
  • Chaos in learning a simple two-person game
  • Generalized Hamiltonian Dynamics
  • Quantum Theory for Mathematicians


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