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.

Department(s)

Engineering Management and Systems Engineering

Comments

National Science Foundation, Grant CMMI-1932991

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

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