Noncooperative strategic interactions in delayed information systems

Characterize noncooperative dynamic games in delayed information systems—control systems in which decision-makers have access to delayed measurements or communications—by developing a rigorous framework to model these strategic interactions and determining the corresponding Nash equilibria under such delays.

Background

The paper situates its contribution within the literature on multi-controller cyber-physical systems, noting that most prior work on delayed information systems has focused on cooperative control, whereas many real-world scenarios involve strategic, self-interested agents. In dynamic games with asymmetric information, existing results emphasize general frameworks, and explicit equilibrium characterizations are scarce.

Within this context, the authors point out that research on delayed information systems has largely remained on the cooperative side, explicitly identifying the gap concerning noncooperative strategic interactions. The paper addresses a specific two-player linear time-invariant setting with one-step delayed measurements and asymmetric information, but the broader challenge of characterizing noncooperative interactions in delayed information systems remains identified as open.

References

Meanwhile, research on delayed information systems has been largely confined to cooperative control settings, with noncooperative strategic interactions remaining an open problem.

— Noncooperative Game in Multi-controller System under Delayed and Asymmetric Information  (2603.29783 - Li et al., 31 Mar 2026) in Section 1.1 (Related works)

In future work, we plan to study the equilibrium properties of high and low information communication spaces with higher fidelity. For example, high-information games serve as a sufficient condition for the existence of Nash equilibrium. However, the conditions in low-information setting such that a Nash equilibrium exists remains an open question.

— Achieving Robust Performance using Minimal Communication in Resource Allocation Games  (2609.26670 - Collins et al., 22 Sep 2026) in Section Conclusion