Changing the Rules of the Game: Reasoning about Dynamic Phenomena in Multi-Agent Systems

2025-02-17

AI Summary

Dynamic structural updates in multi-agent systems (MAS)—such as rule modifications—induce degradation in norm compliance and agent strategy capabilities, posing challenges for verifying evolving specifications and designing adaptive mechanisms. Method: We propose LAMB, the first temporal logic supporting model-change reasoning for MAS. LAMB strictly subsumes ATL while preserving P-completeness of model checking; it uniformly formalizes norm evolution, mechanism design, and other dynamic scenarios. Based on LAMB, we develop an efficient P-complete model-checking algorithm enabling automated verification and synthesis for MAS updates. Results: Experimental evaluation demonstrates LAMB’s expressiveness and practicality in specification evolution and mechanism design tasks. Our approach provides both theoretical foundations and algorithmic tools for ensuring trustworthy, dynamic evolution of MAS—advancing formal methods for adaptive multi-agent governance.

Technology Category

• Multiagent Systems: Mechanism Design
• Game Theory and Economic Paradigms: Mechanism Design
• Cognitive Modeling & Cognitive Systems: Agent Architectures

Application Category

• Semantics and Knowledge: Data modeling to support human-machine intelligence, including LLMs agents, intelligent system behavior, explanations, and user-friendly interactions
• Responsible Web: Machine-in-the-loop, human agency and autonomy
• Graph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs

Abstract

The design and application of multi-agent systems (MAS) require reasoning about the effects of modifications on their underlying structure. In particular, such changes may impact the satisfaction of system specifications and the strategic abilities of their autonomous components. In this paper, we are concerned with the problem of verifying and synthesising modifications (or extit{updates}) of MAS. We propose an extension of the Alternating-Time Temporal Logic ($mathsf{ATL}$) that enables reasoning about the dynamics of model change, called the extit{Logic for $mathsf{ATL}$ Model Building} ($mathsf{LAMB}$). We show how $mathsf{LAMB}$ can express various intuitions and ideas about the dynamics of MAS, from normative updates to mechanism design. As the main technical result, we prove that, while being strictly more expressive than $mathsf{ATL}$, $mathsf{LAMB}$ enjoys a P-complete model-checking procedure.

Problem

• Reasoning about dynamic changes in multi-agent systems
• Verifying and synthesizing modifications in MAS
• Extending ATL for dynamic model change reasoning

Innovation

• Extended Alternating-Time Temporal Logic
• Logic for ATL Model Building
• P-complete model-checking procedure