A numerical treatment based on Bernoulli Tau method for computing the open-loop Nash equilibrium in nonlinear differential games
DOI10.22067/ijnao.2022.74347.1086zbMath1506.65168OpenAlexW4385977485MaRDI QIDQ5054015
Mojtaba Dehghan Banadaki, Hamidreza Navidi
Publication date: 29 November 2022
Full work available at URL: https://doaj.org/article/01892a51f6234a29bc2f0b39cb35c8dd
Pontryagin's maximum principleopen-loop Nash equilibriumnonlinear differential gamesBernoulli tau method
Differential games and control (49N70) Numerical computation of solutions to systems of equations (65H10) Differential games (aspects of game theory) (91A23) Bernoulli and Euler numbers and polynomials (11B68) Maximum principles in context of PDEs (35B50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Asymptotic expansions of solutions to PDEs (35C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
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