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People choose their strategies through a trial-and-error learning process inwhich they gradually discover that some strategies work better than others. Theprocess can be modelled as an evolutionary game dynamics system, which may becontrollable. In modern control theory, eigenvalue (pole) assignment is a basicapproach to designing a full-state feedback controller, which can influence theoutcome of a game. This study shows that, in a game with two Nash equilibria,the long-running strategy distribution can be controlled by pole assignment. Weillustrate a theoretical workflow to design and evaluate the controller. To ourknowledge, this is the first realisation of the control of equilibriumselection by design in the game dynamics theory paradigm. We hope thecontroller can be verified in a laboratory human subject game experiment.

Nash equilibrium selection by eigenvalue control