Incentive Stackelberg Strategy for Weakly-Coupled Large-Scale Systems
Hiroaki Mukaidani, Hua Xu · 2019
An incentive Stackelberg game for a continuous-time weakly-coupled large-scale system with multiple leaders and multiple followers is investigated. The existence conditions on the incentive Stackelberg strategies are derived in terms of the solvabilty of a set of reduced order algebraic Riccati equations for leader's Nash strategy set. On the other hand, it is shown that the follower's strategy set can be computed by solving the parameter independent coupled matrix equations. An academic numerical example is provided to show the existence of the incentive Stackelberg strategies for the problem formulated.