Nonzero-sum differential games
From MaRDI portal
Publication:2531133
DOI10.1007/BF00929443zbMath0169.12301MaRDI QIDQ2531133
Publication date: 1969
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Related Items
Sequential filter for river pollution monitoring ⋮ Objection and Counter-Objection Equilibrium In Differential Game Under Uncertainty ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dynamic policy in linear models with rational expectations of future events: A computer package ⋮ Analytic solution for a class of linear quadratic open-loop Nash games ⋮ OPTIMAL DYNAMIC PROFIT TAXATION: THE DERIVATION OF FEEDBACK STACKELBERG EQUILIBRIA ⋮ The Role of Information in Nonzero-Sum Differential Games ⋮ Open-loop Nash equilibrium in polynomial differential games via state-dependent Riccati equation ⋮ Open-loop Nash equilibria in the non-cooperative infinite-planning horizon LQ game ⋮ Modeling and optimization for networked evolutionary games with player exit mechanism: semi-tensor product of matrices method ⋮ On linear stochastic differential games with non-linear and noisy information ⋮ Learning feedback Nash strategies for nonlinear port-Hamiltonian systems ⋮ Off‐policy integral reinforcement learning‐based optimal tracking control for a class of nonzero‐sum game systems with unknown dynamics ⋮ Pareto efficiency of finite-horizon mean-field cooperative stochastic differential games with Poisson jumps ⋮ Sufficient conditions for Nash strategies in a class of non-zero-sum differential games† ⋮ Unnamed Item ⋮ Iterative algorithms for computing the feedback Nash equilibrium point for positive systems ⋮ Numerical solutions of differential game problems† ⋮ Sampled-data Nash controls in non-zero-sum differential games† ⋮ Linear feedback strategies in non-zero-sum differential games ⋮ ON A CLASS OF NASH EQUILIBRIA WITH MEMORY STRATEGIES FOR NONZERO-SUM DIFFERENTIAL GAMES ⋮ Uniqueness conditions for the affine open-loop linear quadratic differential game ⋮ Saddle-point equilibrium sequence in one class of singular infinite horizon zero-sum linear-quadratic differential games with state delays ⋮ On the solution of the open-loop Nash Riccati equations in linear quadratic differential games ⋮ Unnamed Item ⋮ Feedback strategies for discrete-time linear-quadratic two-player descriptor games ⋮ A numerical treatment based on Bernoulli Tau method for computing the open-loop Nash equilibrium in nonlinear differential games ⋮ MixedH2/H∞control via state feedback for nonlinear systems ⋮ Explicit solutions of Riccati equations appearing in differential games ⋮ Explicit solutions of Riccati equations appearing in differential games ⋮ The envelope theorem for locally differentiable Nash equilibria of finite horizon differential games ⋮ Unnamed Item ⋮ SOLUTION OF A SINGULAR ZERO-SUM LINEAR-QUADRATIC DIFFERENTIAL GAME BY REGULARIZATION ⋮ A note to Jørgensen's logarithmic advertising differential game ⋮ Dynamic Games for Stochastic Systems with Delay ⋮ A class of trilinear differential games ⋮ Counterexample in linear-quadratic games: Existence of nonlinear Nash solutions ⋮ Equilibrium existence results for simple dynamic games ⋮ Characterization of constant policies in optimal control ⋮ New Results in Stochastic Cooperative Games: Strategic Coordination for Multi-resolution Performance Robustness ⋮ Brève communication. Optimalité dans un système multicritère et perturbé avec application à des systèmes de commande linéaires à coûts quadratiques ⋮ An application of non-zero-sum games to competitive decision making† ⋮ Trajectory sensitivity reduction in non-zero-sum differential games† ⋮ Linear quadratic Nash game-based tracker for multiparameter singularly perturbed sampled-data systems: digital redesign approach ⋮ Linear quadratic Nash games on positive linear systems ⋮ Optimal control of disturbed linear-quadratic differential games ⋮ A numerical solution of open-loop Nash equilibrium in nonlinear differential games based on Chebyshev pseudospectral method ⋮ Reinforcement learning and non-zero-sum game output regulation for multi-player linear uncertain systems ⋮ Continuous-Time Robust Dynamic Programming ⋮ Differential Game Model for Sustainability Multi-Fishery ⋮ Generalized cops and robbers: a multi-player pursuit game on graphs ⋮ Further properties of nonzero-sum differential games ⋮ A note on linear-quadratic pursuit-evasion differential games ⋮ Control space properties of cooperative games ⋮ Absolutely cooperative solution for a linear, multiplayer differential game ⋮ Differential games, dynamic optimization, and generalized control theory ⋮ Linear-quadratic differential games with non-zero sum and with N players ⋮ On noninferior performance index vectors ⋮ Series Nash solution of two-person, nonzero-sum, linear-quadratic differential games ⋮ On the cheating problem in Stackelberg games† ⋮ On a class of nonzero-sum, linear-quadratic differential games ⋮ Optimal resource allocation under stochastic prices and yields ⋮ Unnamed Item ⋮ Note on the mean-square strategy for vector-valued objective functions ⋮ Switching surfaces in N-person differential games ⋮ Analytical solution for a class of linear quadratic open-loop Nash game with multiple players ⋮ Saddle-Point Equilibrium of Bilinear Itô Stochastic Differential Games ⋮ Nonzero-sum differential games with bargaining solutions ⋮ On the Stackelberg strategy in nonzero-sum games ⋮ Collective bargaining: A differential game ⋮ Additional aspects of the Stackelberg strategy in nonzero-sum games ⋮ Individual and collective rationality in a dynamic Pareto equilibrium ⋮ An elimination condition to check the validity of the principle of optimality ⋮ Robust trajectory tracking: differential game/cheap control approach ⋮ Numerical computation of sign-indefinite linear quadratic differential games for weakly coupled large-scale systems ⋮ Optimal pricing in a dynamic duopoly game model ⋮ Data-driven adaptive dynamic programming for partially observable nonzero-sum games via Q-learning method ⋮ On the selection of leader in Stackelberg games with parameter uncertainty ⋮ On noninferior performance index vectors ⋮ Differential games in evolutionary theory: Height growth strategies of trees ⋮ On the closed loop Nash equilibrium strategy for a class of sampled data stochastic linear quadratic differential games ⋮ Strategic incentives in dynamic duopoly ⋮ Chebyshev rational matrix approximation with a priori error bounds for linear and Riccati matrix equations ⋮ Properties of feedback Nash equilibria in scalar LQ differential games ⋮ Recursive solution of linear-quadratic Nash games for weakly interconnected systems ⋮ Inefficiency of credible strategies in oligopolistic resource markets with uncertainty ⋮ On the analysis of open-loop Nash equilibria admitting a feedback synthesis in nonlinear differential games ⋮ Dynamics and stability in coevolutionary ecological systems. I. Community stability and coevolutionarily stable states ⋮ On polynomial feedback Nash equilibria for two-player scalar differential games ⋮ Noncooperative solutions for a differential game model of fishery ⋮ Necessary and sufficient conditions for feedback Nash equilibria for the affine-quadratic differential game ⋮ Characterization of feedback Nash equilibria for multi-channel systems via a set of non-fragile stabilizing state-feedback solutions and dissipativity inequalities ⋮ An algorithm for solving coupled differential matrix systems: Approximations, convergence and upper error bounds ⋮ Kronecker products and coupled matrix Riccati differential systems ⋮ University-students game ⋮ On the open-loop Nash equilibrium in LQ-games ⋮ Near-Nash equilibrium strategies for LQ differential games with inaccurate state information ⋮ On an alternative in a several-person differential game ⋮ A differential game approach to the dynamic mixed behavior traffic network equilibrium problem ⋮ A reinforcement learning adaptive fuzzy controller for differential games ⋮ On the existence of Nash strategies and solutions to coupled Riccati equations in linear-quadratic games ⋮ Differential-game for resource aware approximate optimal control of large-scale nonlinear systems with multiple players ⋮ Closed-loop Stackelberg solution to a multistage linear-quadratic game ⋮ An iterative computational scheme for solving the coupled Hamilton-Jacobi-Isaacs equations in nonzero-sum differential games of affine nonlinear systems ⋮ On the multiplicity of perfect equilibria in a dynamic oligopoly ⋮ Feedback Nash equilibria for linear quadratic descriptor differential games ⋮ A numerical algorithm to calculate the unique feedback Nash equilibrium in a large scalar LQ differential game ⋮ A class of differential games for which the closed-loop and open-loop Nash equilibria coincide ⋮ Unilateral production restrictions in a dynamic duopoly. ⋮ Magnus integrators for solving linear-quadratic differential games ⋮ Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs ⋮ Nonzero-sum differential games (The noncooperative variant) ⋮ Differential games with nonzero sum (cooperative variant) ⋮ The Nash solution of a maintenance-production differential game ⋮ A concept of cooperative equilibrium for dynamic games ⋮ Anwendungen des Maximumprinzips im Operations Research. I ⋮ Control: a perspective ⋮ Min-max and min-min Stackelberg strategies with closed-loop information structure ⋮ Algorithms for computing Nash equilibria in deterministic LQ games ⋮ Numerical solution of open-loop Nash differential games based on the Legendre Tau method ⋮ On nonunique closed-loop Nash equilibria for a class of differential games with a unique and degenerated feedback solution ⋮ Noninferior Nash strategies for multi-team systems ⋮ Dynamic oligopoly with capacity adjustment costs ⋮ Exact computable solution of a class of strongly coupled Riccati equations ⋮ A matrix approach to modeling and optimization for dynamic games with random entrance ⋮ Stochastic Nash games for Markov jump linear systems with state- and control-dependent noise ⋮ Non-blow-up conditions for Riccati-type matrix differential and difference equations ⋮ The endogenous stability of economic systems ⋮ Singular infinite horizon zero-sum linear-quadratic differential game: saddle-point equilibrium sequence ⋮ The intrinsic comparative dynamics of locally differentiable feedback Nash equilibria of autonomous and exponentially discounted infinite horizon differential games ⋮ Bounded Nash type controls for uncertain linear systems ⋮ A numerical toolbox to solve \(N\)-player affine LQ open-loop differential games ⋮ Some recent aspects of differential game theory ⋮ An interior penalty function method for the construction of efficient points in a multiple-criteria control problem ⋮ A sufficiency condition for coalitive Pareto-optimal solutions ⋮ Robust state-feedback controllability of linear systems to a hyperplane in a class of bounded controls ⋮ A differential game among sectors in a macroeconomy ⋮ Nash strategies for M-person differential games with mixed information structures ⋮ Method of Kronecker product to advanced type Riccati differential systems with strongly coupled quadratic terms ⋮ On stochastic dynamic Stackelberg strategies ⋮ Stability, structural stability, and games: Toward a theory of differential hypergames ⋮ On the uniqueness of the Nash solution in linear-quadratic differential games ⋮ Advanced type coupled matrix Riccati differential equation systems with Kronecker product ⋮ A series solution to the Nash strategy for large scale interconnected systems ⋮ On the noninferior index approach to large-scale multi-criteria systems ⋮ Nonzero-sum feedback differential game with a linear, symmetric, hyperbolic system ⋮ Game theory applied to dynamic duopoly problems with production constraints ⋮ Feedback strategies in a nonzero-sum differential game of special type ⋮ Interactive economic dynamics and differential games ⋮ Differential games of \(N\) players in stochastic systems with controlled diffusion terms ⋮ Optimal strategies in immunology II. B memory cell production ⋮ Hamilton's rule, gradual evolution, and the optimal (feedback) control of phenotypically plastic traits ⋮ Well-posedness of singularly perturbed Nash games ⋮ Competition, kin selection, and evolutionary stable strategies ⋮ Control of linear systems with multiparameter singular perturbations ⋮ Nash equilibrium seeking in quadratic noncooperative games under two delayed information-sharing schemes ⋮ Multimodel design of a Nash strategy ⋮ Sufficient conditions for Stackelberg and Nash strategies with memory ⋮ Analytic solution for a class of discrete-time Riccati equations arising in Nash games ⋮ Markov interactions in a class of dynamic games ⋮ Computational aspects of the open-loop Nash equilibrium in linear quadratic games ⋮ Constructive design of open-loop Nash equilibrium strategies that admit a feedback synthesis in LQ games ⋮ Identification of classes of differential games for which the open loop is a degenerate feedback Nash equilibrium ⋮ Bargaining on whales: A differential game model with Pareto optimal equilibria ⋮ Optimal pricing in a duopoly: A noncooperative differential games solution ⋮ Tractable classes of nonzero-sum open-loop Nash differential games: Theory and examples ⋮ Asymptotic analysis of linear feedback Nash equilibria in nonzero-sum linear-quadratic differential games ⋮ The local stability of an open-loop Nash equilibrium in a finite horizon differential game ⋮ Differential game models in management science ⋮ Carathéodory's method for a class of dynamic games. ⋮ Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations. ⋮ Market equilibrium in a multistage commodity network ⋮ \(N\)-person differential games governed by infinite-dimensional systems ⋮ Necessary conditions for constant solutions of coupled Riccati equations in Nash games ⋮ Marketing-production decisions under independent and integrated channel structure ⋮ Exact solution of a class of strongly coupled Riccati matrix differential equations ⋮ Solving coupled Riccati matrix differential systems ⋮ Stability in an evolutionary game ⋮ On a dynamic model of cooperative and noncooperative R and D in oligopoly with spillovers
Cites Work
