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Game theoretic equilibria are mathematical expressions of rationality. Rational agents are used to model not only humans and their software representatives, but also organisms, populations, species and genes, interacting with each other and…

Computer Science and Game Theory · Computer Science 2015-05-13 Dusko Pavlovic

Dynamic epistemic logics which model abilities of agents to make various announcements and influence each other's knowledge have been studied extensively in recent years. Two notable examples of such logics are Group Announcement Logic and…

Logic in Computer Science · Computer Science 2017-07-28 Rustam Galimullin , Natasha Alechina

We analyse so-called computable laws, i.e., laws that can be enforced by automatic procedures. These laws should be logically perfect and unambiguous, but sometimes they are not. We use a regulation on road transport to illustrate this…

The framework of algorithmic knowledge assumes that agents use algorithms to compute the facts they explicitly know. In many cases of interest, a deductive system, rather than a particular algorithm, captures the formal reasoning used by…

Artificial Intelligence · Computer Science 2007-05-23 Riccardo Pucella

We introduce a unified mathematical and probabilistic framework for understanding and comparing diverse AI agent strategies. We bridge the gap between high-level agent design concepts, such as ReAct, multi-agent systems, and control flows,…

Artificial Intelligence · Computer Science 2025-12-05 Philip Stephens , Emmanuel Salawu

In some complex domains, certain problem-specific decompositions can provide advantages over monolithic designs by enabling comprehension and specification of the design. In this paper we present an intuitive and tractable approach to…

Artificial Intelligence · Computer Science 2026-04-24 Richard Arthur , Virginia DiDomizio , Louis Hoebel

Control and planning of multi-agent systems is an active and increasingly studied topic of research, with many practical applications such as rescue missions, security, surveillance, and transportation. This thesis addresses the planning…

Systems and Control · Electrical Eng. & Systems 2023-03-03 Christos Verginis

We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the parameters, the global and local properties of…

Dynamical Systems · Mathematics 2010-11-10 Ignacio Bajo , Daniel Franco , Juan Perán

In multiagent systems, agents often have to rely on other agents to reach their goals, for example when they lack a needed resource or do not have the capability to perform a required action. Agents therefore need to cooperate. Then, some…

Artificial Intelligence · Computer Science 2020-10-08 Antonis Bikakis , Patrice Caire

This paper proposes an intent-aware multi-agent planning framework as well as a learning algorithm. Under this framework, an agent plans in the goal space to maximize the expected utility. The planning process takes the belief of other…

Artificial Intelligence · Computer Science 2018-03-07 Siyuan Qi , Song-Chun Zhu

In artificial intelligence, multi agent systems constitute an interesting typology of society modeling, and have in this regard vast fields of application, which extend to the human sciences. Logic is often used to model such kind of…

Artificial Intelligence · Computer Science 2019-09-23 Valentina Pitoni

The design of a complex system warrants a compositional methodology, i.e., composing simple components to obtain a larger system that exhibits their collective behavior in a meaningful way. We propose an automaton-based paradigm for…

Logic in Computer Science · Computer Science 2023-02-03 Tobias Kappé , Farhad Arbab , Carolyn Talcott

Abductive reasoning is a popular non-monotonic paradigm that aims to explain observed symptoms and manifestations. It has many applications, such as diagnosis and planning in artificial intelligence and database updates. In propositional…

Artificial Intelligence · Computer Science 2026-01-14 Johannes Schmidt , Mohamed Maizia , Victor Lagerkvist , Johannes K. Fichte

Dialogue games are two-player logic games between a Proponent who puts forward a logical formula A as valid or true and an Opponent who disputes this. An advantage of the dialogical approach is that it is a uniform framework from which…

Logic · Mathematics 2014-01-07 Jesse Alama , Sara Uckelman

The paper relates two variants of semantic models for natural language, logical functional models and compositional distributional vector space models, by transferring the logic and reasoning from the logical to the distributional models.…

Logic in Computer Science · Computer Science 2014-12-31 Anne Preller

Multi-agent systems often operate under feedback, adaptation, and non-stationarity, yet many simulation studies retain static decision rules and fixed control parameters. This paper introduces a general adaptive multi-agent learning…

Multiagent Systems · Computer Science 2025-11-26 Roberto Garrone

Exploration is one of the most important tasks in Reinforcement Learning, but it is not well-defined beyond finite problems in the Dynamic Programming paradigm (see Subsection 2.4). We provide a reinterpretation of exploration which can be…

Artificial Intelligence · Computer Science 2021-11-24 John C. Raisbeck , Matthew W. Allen , Hakho Lee

Multi-agent systems are increasingly widespread in a range of application domains, with optimization and learning underpinning many of the tasks that arise in this context. Different approaches have been proposed to enable the cooperative…

Optimization and Control · Mathematics 2025-09-04 Nicola Bastianello , Luca Schenato , Ruggero Carli

LLM-based foundation agents that perceive, reason, and act across thousands of reasoning steps are rapidly becoming the dominant paradigm for deploying artificial intelligence in open-ended, long-horizon complex tasks. Despite this…

Artificial Intelligence · Computer Science 2026-05-12 Xinrun Wang , Chang Yang , He Zhao , Zhuoyi Lin , Shuyue Hu

The Koopman Operator (KO) takes nonlinear state dynamics and ``lifts'' those dynamics to an infinite-dimensional functional space of observables in which those dynamics are linear. Computational applications typically use a…

Dynamical Systems · Mathematics 2025-06-19 Craig Bakker