Research on Security Defense of Coupled Transportation and Cyber-Physical Power System Based on the Static Bayesian Game

Yang, Zian; Xiang, Yueping; Liao, Kai; Yang, Jianwei

doi:10.1109/tits.2022.3223337

Cited by 7 publications

(1 citation statement)

References 41 publications

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“…An incomplete information game is comprised of multiple agents who takes actions which maximizes their utilities depending on actions of other agents and unknown states. Incomplete information games are used to model federated edge learning [1], electricity spot market [2], cyber defense in EV charging [3] and traffic flow in communication or transportation networks [4], [5].…”

Section: Introductionmentioning

confidence: 99%

Robust Optimization Approach to Information Design in Linear-Quadratic-Gaussian Games

Sezer¹,

Eksin²

2023

Preprint

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Information design in an incomplete information game includes a designer with the goal of influencing players' actions through signals generated from a designed probability distribution so that its objective function is optimized. We consider a setting in which the designer has partial knowledge on agents' utilities. We address the uncertainty about players' preferences by formulating a robust information design problem against worst case payoffs. If the players have quadratic payoffs that depend on the players' actions and an unknown payoff-relevant state, and signals on the state that follow a Gaussian distribution conditional on the state realization, then the information design problem under quadratic design objectives is a semidefinite program (SDP). Specifically, we consider ellipsoid perturbations over payoff coefficients in linear-quadratic-Gaussian (LQG) games. We show that this leads to a tractable robust SDP formulation. Numerical studies are carried out to identify the relation between the perturbation levels and the optimal information structures.

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