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Many objectives can be achieved (or may be achieved more effectively) only by a group of agents executing a team plan. If a team plan fails, it is often of interest to determine what caused the failure, the degree of responsibility of each…

Artificial Intelligence · Computer Science 2020-05-22 Natasha Alechina , Joseph Y. Halpern , Brian Logan

I use a novel approach to compare information in several classes of moral hazard problems: implementability, cost under risk neutrality and limited liability, and cost facing an agent with a general preference for money. Incentives in moral…

Theoretical Economics · Economics 2026-05-26 Zizhe Xia

We introduce a variation on Barthe et al.'s higher-order logic in which formulas are interpreted as predicates over open rather than closed objects. This way, concepts which have an intrinsically functional nature, like continuity,…

Logic in Computer Science · Computer Science 2022-11-22 Ugo Dal Lago , Francesco Gavazzo , Alexis Ghyselen

A central problem in business concerns the optimal allocation of limited resources to a set of available tasks, where the payoff of these tasks is inherently uncertain. In credit card fraud detection, for instance, a bank can only assign a…

Machine Learning · Computer Science 2022-02-10 Toon Vanderschueren , Bart Baesens , Tim Verdonck , Wouter Verbeke

Given a finite structure $M$ and property $p$, it is a natural to study the degree of satisfiability of $p$ in $M$; i.e. to ask: what is the probability that uniformly randomly chosen elements in $M$ satisfy $p$? In group theory, a…

Logic · Mathematics 2025-07-16 Benjamin Merlin Bumpus , Zoltan A. Kocsis

"Personal responsibility", one of the basic principles of modern law, requires one to be responsible for what he did. However, personal responsibility is far from the only norm ruling human interactions, especially in social and economic…

Physics and Society · Physics 2021-09-15 Guocheng Wang , Qi Su , Long Wang

Decision problems in physics have been an active field of research for quite a few decades resulting in some interesting findings in recent years. However, such research investigations are based on a priori knowledge of theoretical computer…

General Physics · Physics 2024-01-12 Abhishek Majhi

The three gap theorem, also known as the Steinhaus conjecture or three distance theorem, states that the gaps in the fractional parts of $\alpha,2\alpha,\ldots, N\alpha$ take at most three distinct values. Motivated by a question of…

Number Theory · Mathematics 2018-07-11 Alan Haynes , Jens Marklof

A structure called a decision making problem is considered. The set of outcomes (consequences) is partially ordered according to the decision maker's preferences. The problem is how these preferences affect a decision maker to prefer one of…

Category Theory · Mathematics 2007-05-23 Victor V. Rozen , Grigori Zhitomirski

The classical decision problem, as it is understood today, is the quest for a delineation between the decidable and the undecidable parts of first-order logic based on elegant syntactic criteria. In this paper, we treat the concept of…

Logic in Computer Science · Computer Science 2019-11-27 Marco Voigt

In daily life, subjects often face a social dilemma in two stages. In Stage 1, they recognize the social dilemma structure of the decision problem at hand (a tension between personal interest and collective interest); in Stage 2, they have…

Populations and Evolution · Quantitative Biology 2016-03-17 Valerio Capraro , Jotte Kuilder

We start the study of the enumeration complexity of different satisfiability problems in first-order team logics. Since many of our problems go beyond DelP, we use a framework for hard enumeration analogous to the polynomial hierarchy,…

Logic in Computer Science · Computer Science 2021-01-01 Anselm Haak , Arne Meier , Fabian Müller , Heribert Vollmer

We consider the problem where a set of individuals has to classify $m$ objects into $p$ categories by aggregating the individual classifications, and no category can be left empty. An aggregator satisfies \emph{Expertise} if individuals are…

Theoretical Economics · Economics 2025-02-07 Federico Fioravanti

We propose a hierarchical framework for collaborative intelligent systems. This framework organizes research challenges based on the nature of the collaborative activity and the information that must be shared, with each level building on…

The basic problem in the cooperation theory is to justify the cooperation. Here we propose a new approach, where players are driven by their altruism to cooperate or not. The probability of cooperation depends also on the co-player's…

Physics and Society · Physics 2015-05-13 Krzysztof Kulakowski , Przemyslaw Gawronski

The human capacity for working together and with tools builds on cognitive abilities that, while not unique to humans, are most developed in humans both in scale and plasticity. Our capacity to engage with collaborators and with technology…

Physics and Society · Physics 2025-03-17 M. Burgess , R. I. M. Dunbar

In recent years, two higher-order extensions of the powerful dependency pair approach for termination analysis of first-order term rewriting have been defined: the static and the dynamic approach. Both approaches offer distinct advantages…

Logic in Computer Science · Computer Science 2018-05-25 Carsten Fuhs , Cynthia Kop

The paper deals with a step-wise analytic hierarchy process (AHP) applied by a group of decision makers wherein nobody has a dominant position and it is unlikely to come to terms with respect to either the weights of different objectives or…

Multiagent Systems · Computer Science 2016-05-10 Marian Dragoi , Ciprian Palaghianu

The higher order matching problem is the problem of determining whether a term is an instance of another in the simply typed $\lambda$-calculus, i.e. to solve the equation a = b where a and b are simply typed $\lambda$-terms and b is…

Logic in Computer Science · Computer Science 2023-06-05 Gilles Dowek

The human brain is a complex system defined by multi-way, higher-order interactions invisible to traditional pairwise network models. Although a diverse array of analytical methods has been developed to address this shortcoming, the field…

Quantitative Methods · Quantitative Biology 2025-11-11 Mohamma Reza Salehi , Ali BashirGonbadi , Hamid Soltanian-Zadeh