Analytical solution for an open-loop Stackelberg game

DOI10.1109/TAC.1985.1103886zbMath0589.90097OpenAlexW2085821433MaRDI QIDQ3718513

P. Bertrand, Hisham Abou-Kandil

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1109/tac.1985.1103886

zbMATH Keywords

boundary value problemmixed boundary conditionsoptimal solutionsfinite horizonHamiltonian matrixStackelberg gameeigenvector methodopen-loop Stackelberg strategycontinuous time linear quadratic gameRiccati-type matrix differential equationstwo point

Mathematics Subject Classification ID

Noncooperative games (91A10) Differential games (aspects of game theory) (91A23)

Related Items (15)

Incentive feedback Stackelberg strategy for stochastic systems with state-dependent noise ⋮ Government-private sector relations as a Stackelberg game. A degenerate case ⋮ Closed-form solution for discrete-time linear-quadratic Stackelberg games ⋮ Hierarchical optimal control for input-affine nonlinear systems through the formulation of Stackelberg game ⋮ Solution of N-person Stackelberg games with nearly cooperating leaders ⋮ Feedback Stackelberg strategies for the discrete-time mean-field stochastic systems in infinite horizon ⋮ Incentive feedback Stackelberg strategy for the discrete-time stochastic systems ⋮ Stackelberg game approach to mixed stochastic \(H_2 /H_{\infty}\) control for mean-field jump-diffusions systems ⋮ A new feedback form of open-loop Stackelberg strategy in a general linear-quadratic differential game ⋮ Feedback strategies for discrete-time linear-quadratic two-player descriptor games ⋮ Min-max and min-min Stackelberg strategies with closed-loop information structure ⋮ Linear quadratic open-loop Stackelberg game for stochastic systems with Poisson jumps ⋮ Open‐loop Stackelberg learning solution for hierarchical control problems ⋮ Numerical solution for a class of open-loop differential games via the shifted Chebyshev polynomial approximation ⋮ Discrete-time Riccati equations in open-loop Nash and Stackelberg games.

This page was built for publication: Analytical solution for an open-loop Stackelberg game