Linear-Quadratic Gaussian Games with Distributed Sparse Estimation

Abstract

Linear-quadratic Gaussian games provide a framework for modeling strategic interactions in multi-agent systems, where agents must estimate system states from noisy observations while also making decisions to optimize a quadratic cost. However, these formulations usually require agents to utilize the full set of available observations when forming their state estimates, which can be unrealistic in large-scale or resource-constrained settings. This paper considers LQG games with sparse interagent observations and designs a distributed estimator that balances estimation effectiveness with interagent measurement sparsity via a group lasso problem, while agents implement feedback Nash strategies based on their state estimates.

Publication
IEEE Control Systems Letters
Tianyu Qiu
Tianyu Qiu
Ph.D. Student @ UT Austin