Approximation of optimal control surfaces for 2 × 2 skew-symmetric evolutionary game dynamics
Abstract
In this paper we study the problem of approximating the general solution to an optimal control problem whose dynamics arise from a 2 x 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.
Recommended Citation
G. Nicolosi et al., "Approximation of optimal control surfaces for 2 × 2 skew-symmetric evolutionary game dynamics," Chaos, Solitons and Fractals, vol. 163, article no. 112535, Elsevier, Oct 2022.
The definitive version is available at https://doi.org/10.1016/j.chaos.2022.112535
Department(s)
Engineering Management and Systems Engineering
Keywords and Phrases
Evolutionary game; Fourier approximation; Learning; Optimal control
International Standard Serial Number (ISSN)
0960-0779
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Elsevier, All rights reserved.
Publication Date
01 Oct 2022
Comments
National Science Foundation, Grant CMMI-1932991