Nash equilibrium selection by eigenvalue control

Wang Zhijian

Papers from arXiv.org

Abstract: People choose their strategies through a trial-and-error learning process in which they gradually discover that some strategies work better than others. The process can be modelled as an evolutionary game dynamics system, which may be controllable. In modern control theory, eigenvalue (pole) assignment is a basic approach to designing a full-state feedback controller, which can influence the outcome 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. We illustrate a theoretical workflow to design and evaluate the controller. To our knowledge, this is the first realisation of the control of equilibrium selection by design in the game dynamics theory paradigm. We hope the controller can be verified in a laboratory human subject game experiment.

Date: 2023-02
New Economics Papers: this item is included in nep-evo, nep-exp and nep-gth
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Citations: View citations in EconPapers (1)

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