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In this paper, we investigate the probabilistic variants of the strategy logics ATL and ATL* under imperfect information. Specifically, we present novel decidability and complexity results when the model transitions are stochastic and…

Multiagent Systems · Computer Science 2023-10-27 Francesco Belardinelli , Wojciech Jamroga , Munyque Mittelmann , Aniello Murano

In formal strategic reasoning for Multi-Agent Systems (MAS), agents are typically assumed to (i) employ arbitrarily complex strategies, (ii) execute each move at zero cost, and (iii) operate over fully crisp game structures. These idealized…

Multiagent Systems · Computer Science 2025-12-24 Marco Aruta , Francesco Improta , Vadim Malvone , Aniello Murano

In the last two decades, Alternating-time Temporal Logic (ATL) has been proved to be very useful in modeling strategic reasoning for Multi-Agent Systems (MAS). However, this logic struggles to capture the bounded rationality inherent in…

Multiagent Systems · Computer Science 2024-10-21 Marco Aruta , Vadim Malvone , Aniello Murano

Reasoning about strategic abilities is key to AI systems comprising multiple agents, which provide a unified framework for formalizing various problems in game theory, social choice theory, etc. In this work, we propose a probabilistic…

Logic in Computer Science · Computer Science 2024-12-13 Yedi Zhang , Fu Song , Taolue Chen , Xuzhi Wu

Responsibility plays a key role in the development and deployment of trustworthy autonomous systems. In this paper, we focus on the problem of strategic reasoning in probabilistic multi-agent systems with responsibility-aware agents. We…

Artificial Intelligence · Computer Science 2024-12-23 Chunyan Mu , Muhammad Najib , Nir Oren

Verification of multi-agents systems (MAS) has been recently studied taking into account the need of expressing resource bounds. Several logics for specifying properties of MAS have been presented in quite a variety of scenarios with…

Logic in Computer Science · Computer Science 2013-07-18 Dario Della Monica , Margherita Napoli , Mimmo Parente

Alternating-time temporal logics (ATL/ATL*) represent a family of modal logics for reasoning about agents' strategic abilities in multiagent systems (MAS). The interpretations of ATL/ATL* over the semantic model Concurrent Game Structures…

Artificial Intelligence · Computer Science 2018-11-28 Yedi Zhang , Fu Song , Taolue Chen

In multi-agent system design, a crucial aspect is to ensure robustness, meaning that for a coalition of agents A, small violations of adversarial assumptions only lead to small violations of A's goals. In this paper we introduce a logical…

Logic in Computer Science · Computer Science 2023-07-21 Aniello Murano , Daniel Neider , Martin Zimmermann

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…

Logic in Computer Science · Computer Science 2026-02-17 Raphaël Berthon , Joost-Pieter Katoen , Munyque Mittelmann , Aniello Murano

We consider the setting of stochastic multiagent systems modelled as stochastic multiplayer games and formulate an automated verification framework for quantifying and reasoning about agents' trust. To capture human trust, we work with a…

Logic in Computer Science · Computer Science 2019-05-17 Xiaowei Huang , Marta Kwiatkowska , Maciej Olejnik

Model checking of strategic abilities for agents with memory is a notoriously hard problem, and very few attempts have been made to tackle it. In this paper, we present two important steps towards this goal. First, we take the partial-order…

Multiagent Systems · Computer Science 2025-10-21 Dilian Gurov , Filip Jamroga , Wojciech Jamroga , Mateusz Kamiński , Damian Kurpiewski , Wojciech Penczek , Teofil Sidoruk

Model-checking the alternating-time temporal logics ATL and ATL* with incomplete information is undecidable for perfect recall semantics. However, when restricting to memoryless strategies the model-checking problem becomes decidable. In…

Computer Science and Game Theory · Computer Science 2013-07-18 Steen Vester

Strategy Logic (SL) is a logical formalism for strategic reasoning in multi-agent systems. Its main feature is that it has variables for strategies that are associated to specific agents with a binding operator. We introduce Graded Strategy…

Computer Science and Game Theory · Computer Science 2016-07-13 Benjamin Aminof , Vadim Malvone , Aniello Murano , Sasha Rubin

Analysing learning in Multi-Agent Reinforcement Learning (MARL) environments is challenging, in particular with respect to \textit{individual} decision-making. Practitioners frequently struggle to compare training runs due to the inherent…

Multiagent Systems · Computer Science 2026-05-29 James Rudd-Jones , María Pérez-Ortiz , Mirco Musolesi

Coordination is a desirable feature in multi-agent systems, allowing the execution of tasks that would be impossible by individual agents. We study coordination by a team of strategic agents choosing to undertake one of the multiple tasks.…

Systems and Control · Electrical Eng. & Systems 2022-12-22 Yi Wei , Marcos M. Vasconcelos

Autonomous agents acting in realistic Multi-Agent Systems (MAS) should be able to adapt during their execution. Standard strategic logics, such as Alternating-time Temporal Logic (ATL), model agents' state- or history-dependent behaviour.…

Logic in Computer Science · Computer Science 2026-04-30 Rustam Galimullin , Hermine Grosinger , Munyque Mittelmann

Alternating-time temporal logic (ATL) allows to specify requirements on abilities that different agents should (or should not) possess in a multi-agent system. However, model checking ATL specifications in realistic systems is…

Multiagent Systems · Computer Science 2016-08-31 Wojciech Jamroga , Michał Knapik , Damian Kurpiewski

In this paper the problem of cooperative task planning of multi-agent systems when timed constraints are imposed to the system is investigated. We consider timed constraints given by Metric Interval Temporal Logic (MITL). We propose a…

Systems and Control · Computer Science 2015-10-01 Alexandros Nikou , Jana Tumova , Dimos V. Dimarogonas

We consider the problem of synthesizing interpretable models that recognize the behaviour of an agent compared to other agents, on a whole set of similar planning tasks expressed in PDDL. Our approach consists in learning logical formulas,…

Artificial Intelligence · Computer Science 2024-10-15 Arnaud Lequen

In this paper, we investigate the module-checking problem of pushdown multi-agent systems (PMS) against ATL and ATL* specifications. We establish that for ATL, module checking of PMS is 2EXPTIME-complete, which is the same complexity as…

Logic in Computer Science · Computer Science 2026-03-11 Laura Bozzelli , Aniello Murano , Adriano Peron
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