Pareto-Nash-Stackelberg Game and Control Theory

“The monograph adapts optimal control theory into game theory, and mainly finds the equilibrium of games for various simple and special cases. Finding explicit solutions and providing algorithms are the highlight of the monograph to distinguish other textbooks and monographs in game theory.” (Weiping Li, zbMATH 1460.91009, 2021)

• Introduction.- Part I Noncooperative Games.- Nash Equilibrium Conditions As Extensions Of Some Classical Optimisation Theorems.- Sets Of Nash Equilibria In Polymatrix Mixed-Strategy Games.- Sets Of Nash Equilibria In Bimatrix 2 × 3 Mixed-Strategy Games.- Nash Equilibrium Sets In Dyadic Trimatrix Mixed-Strategy Games.- Nash Equilibrium Set Function In Dyadic Mixed-Strategy Games.- Stackelberg Equilibrium Sets In Polymatrix Mixed-Strategy Generalized Stackelberg Games.- Strategic Form Games On Digraphs.- Part II Mixtures of Simultaneous And Sequential Games.- Solution Principles For Mixtures Of Simultaneous And Sequential Games.- Computing Pareto-Nash Equilibrium Sets In Finite Multi-Objective Mixed-Strategy Games.- Sets Of Pareto-Nash Equilibria In Dyadic Two-Criterion Mixed-Strategy Games.- Taxonomy Of Strategic Games With Information Leaks And Corruption Of Simultaneity.- Part III Pareto-Nash-Stackelberg Game And Control Processes.- Linear Discrete-Time Pareto-Nash-Stackelberg ControlAnd Its Principles.- Linear Discrete-Time Set-Valued Pareto-Nash-Stackelberg Control And Its Principles.- Linear Discrete Pareto-Nash-Stackelberg Control Processes Withechoes And Retroactive Future.