Approximation of optimal control surfaces for 2 × 2 skew-symmetric evolutionary game dynamics

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Abstract

In this paper we study the problem of approximating the general solution to an optimal control problem whose dynamics arise from a 2 × 2 skew-symmetric evolutionary game with arbitrary initial condition. Our approach uses a Fourier approximation method and generalizes prior work in the use of orthogonal function approximation for optimal control. At the same time we cast the fitting problem in the context of a non-standard feedforward neural network and derive the back-propagation operator in this context. An example of the efficacy of this approach is provided and generalizations are discussed.

Original languageEnglish (US)
Article number112535
JournalChaos, Solitons and Fractals
Volume163
DOIs
StatePublished - Oct 2022

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • General Physics and Astronomy
  • Mathematical Physics

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