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

Gabriel Nicolosi, Terry Friesz and Christopher Griffin

Chaos, Solitons & Fractals, 2022, vol. 163, issue C

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.

Keywords: Optimal control; Fourier approximation; Evolutionary game; Learning (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:163:y:2022:i:c:s0960077922007329

DOI: 10.1016/j.chaos.2022.112535

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