Existence and uniqueness of open-loop nash equilibria in linear-quadratic discrete time games

DOI10.1109/TAC.2002.808477zbMath1364.91035OpenAlexW1995097018MaRDI QIDQ5266938

Gerhard Jank, Hisham Abou-Kandil

Publication date: 20 June 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2002.808477

Mathematics Subject Classification ID

Differential games and control (49N70) Discrete-time games (91A50) (n)-person games, (n>2) (91A06)

Related Items (12)

Linear quadratic game of exploitation of common renewable resources with inherent constraints ⋮ Payment schemes for sustaining cooperation in dynamic games ⋮ Extremum seeking control based on phasor estimation ⋮ New results on the existence of open loop Nash equilibria in discrete time dynamic games via generalized Nash games ⋮ Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics ⋮ A note on Nash equilibrium with wave dynamics and boundary control: controllability, observability and stabilizability considerations ⋮ On periodic optimal solutions of persistent sensor planning for continuous-time linear systems ⋮ Mean square stability for systems on stochastically generated discrete time scales ⋮ An approach based on generalized Nash games and shared constraints for discrete time dynamic games ⋮ Open-loop and feedback Nash equilibria in constrained linear-quadratic dynamic games played over event trees ⋮ Endogenous duration of long-term agreements in cooperative dynamic games with nontransferable utility ⋮ Decomposition of discrete linear-quadratic optimal control problems for switching systems

This page was built for publication: Existence and uniqueness of open-loop nash equilibria in linear-quadratic discrete time games