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We classify the computational complexity of the satisfiability, validity and model-checking problems for propositional independence, inclusion, and team logic. Our main result shows that the satisfiability and validity problems for…

Logic in Computer Science · Computer Science 2017-01-06 Miika Hannula , Juha Kontinen , Jonni Virtema , Heribert Vollmer

I consider decision-making constrained by considerations of morality, rationality, or other virtues. The decision maker (DM) has a true preference over outcomes, but feels compelled to choose among outcomes that are top-ranked by some…

Theoretical Economics · Economics 2020-03-17 Sarah Ridout

An explanation for the political processes leading to the sudden collapse of empires and states would be useful for understanding both historical and contemporary political events. We seek a general description of state collapse spanning…

Physics and Society · Physics 2015-06-16 Daniel John Lawson , Neeraj Oak

Political actors form coalitions around their joint normative beliefs in order to influence the policy process on contentious issues such as climate change or population ageing. Policy process theory maintains that learning within and…

Social and Information Networks · Computer Science 2024-08-01 Philip Leifeld , Laurence Brandenberger

We define a fragment of monadic infinitary second-order logic corresponding to an abstract separation property. We use this to define the concept of a separation subclass. We use model theoretic techniques and games to show that separation…

Logic · Mathematics 2021-12-09 Rob Egrot

Detecting defection and alarming partners about the possible danger could be essential to avoid being exploited. This act, however, may require a huge individual effort from those who take this job, hence such a strategy seems to be…

Physics and Society · Physics 2017-05-25 Attila Szolnoki , Xiaojie Chen

The increase of connectivity and the impact it has in every day life is raising new and existing security problems that are becoming important for social good. We introduce two particular problems: cyber attack attribution and regulatory…

Cryptography and Security · Computer Science 2017-05-03 Erisa Karafili , Antonis C. Kakas , Nikolaos I. Spanoudakis , Emil C. Lupu

Judgment aggregation is a general framework for collective decision making that can be used to model many different settings. Due to its general nature, the worst case complexity of essentially all relevant problems in this framework is…

Artificial Intelligence · Computer Science 2018-08-10 Ronald de Haan

We introduce a novel choice dataset, called joint choice, in which options and menus are multidimensional. In this general setting, we define a notion of choice separability, which requires that selections from some dimensions are never…

Theoretical Economics · Economics 2025-09-09 Davide Carpentiere , Alfio Giarlotta , Angelo Petralia , Ester Sudano

In this chapter the complex systems are discussed in the context of economic and business policy and decision making. It will be showed and motivated that social systems are typically chaotic, non-linear and/or non-equilibrium and therefore…

General Finance · Quantitative Finance 2015-03-20 Robert Kitt

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

Bundled products are often offered as good deals to customers. When we bundle quantifiers and modalities together (as in $\exists x \Box$, $\Diamond \forall x$ etc.) in first-order modal logic (FOML), we get new logical operators whose…

Logic in Computer Science · Computer Science 2022-02-14 Mo Liu , Anantha Padmanabha , R Ramanujam , Yanjing Wang

In this paper, we study the effect of preferences in abstract argumentation under a claim-centric perspective. Recent work has revealed that semantical and computational properties can change when reasoning is performed on claim-level…

Artificial Intelligence · Computer Science 2022-04-29 Michael Bernreiter , Wolfgang Dvorak , Anna Rapberger , Stefan Woltran

We investigate an approach to reasoning about causes through argumentation. We consider a causal model for a physical system, and look for arguments about facts. Some arguments are meant to provide explanations of facts whereas some…

Artificial Intelligence · Computer Science 2014-01-17 Philippe Besnard , Marie-Odile Cordier , Yves Moinard

In domains with high knowledge distribution a natural objective is to create principle foundations for collaborative interactive learning environments. We present a first mathematical characterization of a collaborative learning group, a…

Artificial Intelligence · Computer Science 2020-08-26 Tom Hanika , Jens Zumbrägel

The representation of independence relations generally builds upon the well-known semigraphoid axioms of independence. Recently, a representation has been proposed that captures a set of dominant statements of an independence relation from…

Artificial Intelligence · Computer Science 2012-07-19 Peter de Waal , Linda C. van der Gaag

Team formation is a core problem in AI. Remarkably, little prior work has addressed the problem of mechanism design for team formation, accounting for the need to elicit agents' preferences over potential teammates. Coalition formation in…

Computer Science and Game Theory · Computer Science 2015-01-06 Mason Wright , Yevgeniy Vorobeychik

Circuit representations are becoming the lingua franca to express and reason about tractable generative and discriminative models. In this paper, we show how complex inference scenarios for these models that commonly arise in machine…

Machine Learning · Statistics 2021-02-12 Antonio Vergari , YooJung Choi , Anji Liu , Stefano Teso , Guy Van den Broeck

We discuss a non linear extension of a model of alliances in politics, recently proposed by one of us. The model is constructed in terms of operators, describing the \emph{interest} of three parties to form, or not, some political alliance…

Physics and Society · Physics 2016-03-23 Fabio Bagarello , Emmanuel Haven

We identify the (filter representation of the) logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of desirable (sets of) gambles as well as coherent choice functions, and show that…

Logic · Mathematics 2024-06-21 Gert de Cooman , Arthur Van Camp , Jasper De Bock
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