Functional Stability Theory III: Biological Stability and Nash Frustration (DRAFT)

Oldham Council

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Abstract

DRAFT version. This preprint is part of an active research programme and remains subject to revision, correction, and journal review. A unified framework for biological organization spanning molecular to ecosystem scales, grounded in thermodynamic game theory and the Maximum Entropy Production Principle (MEPP). We argue that biological systems are dissipative structures whose stable configurations can be characterized as Nash equilibria at multiple organizational levels. The framework integrates England's dissipative adaptation theory, Friston's Free Energy Principle, Kauffman's Boolean network dynamics, and classical evolutionary game theory into a coherent hierarchy. As a concrete application, we introduce…

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Topics & keywords

Keywords
  • Nash equilibrium
  • Dissipative system
  • Stability (learning theory)
  • Game theory
  • Frustration
  • Evolutionary game theory
  • Perturbation theory (quantum mechanics)
  • Entropy (arrow of time)
UN Sustainable Development Goals
  • Life in Land
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