Verification of Robust Multi-Agent Systems

TL;DR

This paper addresses the verification of robust strategies in stochastic multi-agent systems with imperfect information, focusing on bounded-memory strategies and the complexity of ensuring system properties under transition uncertainties.

Contribution

It introduces a robust model-checking framework for stochastic multi-agent systems with partial observation, analyzing the complexity of verifying robustness under various perturbations.

Findings

Characterizes the complexity of robust verification problems.

Provides insights into the computational costs of robustness.

Supports the use of bounded-memory strategies in uncertain environments.

Abstract

Stochastic multi-agent systems are a central modeling framework for autonomous controllers, communication protocols, and cyber-physical infrastructures. In many such systems, however, transition probabilities are only estimated from data and may therefore be partially unknown or subject to perturbations. In this paper, we study the verification of robust strategies in stochastic multi-agent systems with imperfect information, in which coalitions must satisfy a temporal specification while dealing with uncertain system transitions, partial observation, and adversarial agents. By focusing on bounded-memory strategies, we introduce a robust variant of the model-checking problem for a probabilistic, observation-based extension of Alternating-time Temporal Logic. We characterize the complexity of this problem under different notions of perturbation, thereby clarifying the computational cost of robustness in stochastic multi-agent verification and supporting the use of bounded-memory strategies in uncertain environments.