Robust management for equilibrium stabilization in two-firms advertising game

This brief paper presents an application of multiple-Hamiltonian synthesis to find a robust equilibrium in a two-player advertise game. Here, LPV μ-synthesis is served for robust control of the local dynamics at Nash equilibrium of advertising game. In the synthesis, every player is assigned with a different Hamiltonian. Compare with single-Hamiltonian approach, this synthesis involves less conservatism in specification and reveals more interaction among players.