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Differences in perception, information asymmetries, and bounded rationality lead game-theoretic players to derive a private, subjective view of the game that may diverge from the underlying ground-truth scenario and may be misaligned with…

Artificial Intelligence · Computer Science 2025-12-16 Vince Trencsenyi

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

Propositional Dynamic Logic or PDL was invented as a logic for reasoning about regular programming constructs. We propose a new perspective on PDL as a multi-agent strategic logic (MASL). This logic for strategic reasoning has group…

Computer Science and Game Theory · Computer Science 2013-10-28 Jan van Eijck

We present Stratified Metric Temporal Logic (SMTL), a novel formalism for specifying and verifying properties of complex cyber-physical systems that exhibit behaviors across multiple temporal and abstraction scales. SMTL extends existing…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Ali Baheri , Peng Wei

Safe reinforcement learning (RL) is crucial for real-world applications, and multi-agent interactions introduce additional safety challenges. While Probabilistic Logic Shields (PLS) has been a powerful proposal to enforce safety in…

Artificial Intelligence · Computer Science 2025-08-28 Satchit Chatterji , Erman Acar

It is well known that the verification of resource-constrained multiagent systems is undecidable in general. In many such settings, resources are private to agents. In this paper, we investigate the model checking problem for a resource…

Logic in Computer Science · Computer Science 2015-08-17 Nils Bulling , Hoang Nga Nguyen

Recent advancements in LLMs indicate potential for novel applications, as evidenced by the reasoning capabilities in the latest OpenAI and DeepSeek models. To apply these models to domain-specific applications beyond text generation,…

Cryptography and Security · Computer Science 2025-07-22 Felix Härer

Strategies synthesized using formal methods can be complex and often require infinite memory, which does not correspond to the expected behavior when trying to model Multi-Agent Systems (MAS). To capture such behaviors, natural strategies…

Logic in Computer Science · Computer Science 2025-11-27 Raphaël Berthon , Joost-Pieter Katoen , Munyque Mittelmann , Aniello Murano

As Large Language Models (LLMs) are integrated into critical real-world applications, their strategic and logical reasoning abilities are increasingly crucial. This paper evaluates LLMs' reasoning abilities in competitive environments…

Computation and Language · Computer Science 2024-06-11 Jinhao Duan , Renming Zhang , James Diffenderfer , Bhavya Kailkhura , Lichao Sun , Elias Stengel-Eskin , Mohit Bansal , Tianlong Chen , Kaidi Xu

Reasoning and strategic behavior in social interactions is a hallmark of intelligence. This form of reasoning is significantly more sophisticated than isolated planning or reasoning tasks in static settings (e.g., math problem solving). In…

Artificial Intelligence · Computer Science 2025-10-17 Jianzhu Yao , Kevin Wang , Ryan Hsieh , Haisu Zhou , Tianqing Zou , Zerui Cheng , Zhangyang Wang , Pramod Viswanath

Strategic classification studies the problem where self-interested individuals or agents manipulate their response to obtain favorable decision outcomes made by classifiers, typically turning to dishonest actions when they are less costly…

Machine Learning · Computer Science 2026-05-07 Ziyuan Huang , Lina Alkarmi , Mingyan Liu

We consider quantitative extensions of the alternating-time temporal logics ATL/ATLs called quantitative alternating-time temporal logics (QATL/QATLs) in which the value of a counter can be compared to constants using equality, inequality…

Logic in Computer Science · Computer Science 2014-09-22 Steen Vester

The computational characterization of game-theoretic solution concepts is a central topic in artificial intelligence, with the aim of developing computationally efficient tools for finding optimal ways to behave in strategic interactions.…

Computer Science and Game Theory · Computer Science 2013-04-05 Nicola Gatti , Marco Rocco , Tuomas Sandholm

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

Large Language Models (LLMs) like GPT-4 have revolutionized natural language processing, showing remarkable linguistic proficiency and reasoning capabilities. However, their application in strategic multi-agent decision-making environments…

Computation and Language · Computer Science 2024-05-29 Chuanhao Li , Runhan Yang , Tiankai Li , Milad Bafarassat , Kourosh Sharifi , Dirk Bergemann , Zhuoran Yang

Verifying LLM-generated systems code is hard: bugs are prevalent, formal specifications are missing, and safety contracts are encoded implicitly at call sites rather than enforced at function boundaries. We propose agentic model checking, a…

Software Engineering · Computer Science 2026-05-21 Youcheng Sun , Jiawen Liu , Daniel Kroening , Jason Xue

This paper presents a comprehensive survey of the current status and opportunities for Large Language Models (LLMs) in strategic reasoning, a sophisticated form of reasoning that necessitates understanding and predicting adversary actions…

Computation and Language · Computer Science 2024-04-02 Yadong Zhang , Shaoguang Mao , Tao Ge , Xun Wang , Adrian de Wynter , Yan Xia , Wenshan Wu , Ting Song , Man Lan , Furu Wei

There has been considerable work on reasoning about the strategic ability of agents under imperfect information. However, existing logics such as Probabilistic Strategy Logic are unable to express properties relating to information…

Artificial Intelligence · Computer Science 2025-01-07 Chunyan Mu , Nima Motamed , Natasha Alechina , Brian Logan

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

We consider systems of rational agents who act and interact in pursuit of their individual and collective objectives. We study and formalise the reasoning of an agent, or of an external observer, about the expected choices of action of the…

Computer Science and Game Theory · Computer Science 2021-02-12 Valentin Goranko , Fengkui Ju