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Euclidean preferences are a widely studied preference model, in which decision makers and alternatives are embedded in d-dimensional Euclidean space. Decision makers prefer those alternatives closer to them. This model, also known as…

Computer Science and Game Theory · Computer Science 2016-02-29 Dominik Peters

We study the design of voting mechanisms in a binary social choice environment where agents' cardinal valuations are independent but not necessarily identically distributed. The mechanism must be anonymous -- the outcome is invariant to…

Theoretical Economics · Economics 2025-08-12 Yaron Azrieli , Ritesh Jain , Semin Kim

We develop a new class of spatial voting models for binary preference data that can accommodate both monotonic and non-monotonic response functions, and are more flexible than alternative "unfolding" models previously introduced in the…

Applications · Statistics 2025-01-01 Rayleigh Lei , Abel Rodriguez

Our food preferences guide our food choices and in turn affect our personal health and our social life. In this paper, we adopt an approach using a domain ontology expressed in OWL2 to support the acquisition and representation of…

Artificial Intelligence · Computer Science 2022-01-12 Rahma Dandan , Sylvie Despres , Karima Sedki

When a posterior distribution has multiple modes, unconditional expectations, such as the posterior mean, may not offer informative summaries of the distribution. Motivated by this problem, we propose to decompose the sample space of a…

Methodology · Statistics 2012-03-05 Qing Zhou

Probabilistic powerdomain in domain theory plays an important role in modeling the semantics of nondeterministic functional programming languages with probabilistic choice. In this paper, we extend the notion of powerdomain to directed…

General Topology · Mathematics 2022-03-14 Xiaolin Xie , Hui Kou , Zhenchao Lyu

Hidden regular variation is a sub-model of multivariate regular variation and facilitates accurate estimation of joint tail probabilities. We generalize the model of hidden regular variation to what we call hidden domain of attraction. We…

Probability · Mathematics 2011-10-05 Abhimanyu Mitra , Sidney I. Resnick

We study some problems of collective choice when individuals can have expressive preferences, that is, where a decision-maker may care not only about the material benefit from choosing an action but also about some intrinsic morality of the…

Theoretical Economics · Economics 2022-08-23 Anindya Bhattacharya , Debapriya Sen

We study the class of domains in which each w-ideal is divisorial, extending several properties of divisorial and totally divisorial domains to a much wider class of domains. In particular we consider PvMDs and Mori domains.

Commutative Algebra · Mathematics 2007-05-23 Said El Baghdadi , Stefania Gabelli

In AI planning, it is common to distinguish between planning domains and problem instances, where a "domain" is generally understood as a set of related problem instances. This distinction is important, for example, in generalised planning,…

Artificial Intelligence · Computer Science 2024-11-14 Patrik Haslum , Augusto B. Corrêa

A Condorcet domain (CD) is a collection of linear orders on a set of candidates satisfying the following property: for any choice of preferences of voters from this collection, a simple majority rule does not yield cycles. We propose a…

Combinatorics · Mathematics 2011-08-19 Vladimir I. Danilov , Alexander V. Karzanov , Gleb A. Koshevoy

Basically information means selection within a domain (value or definition set) of possibilities. For objectifiable, comparable and precise information the domain should be the same for all. Therefore the global (online) definition of the…

Information Retrieval · Computer Science 2016-03-04 Wolfgang Orthuber

Emerging methods for participatory algorithm design have proposed collecting and aggregating individual stakeholder preferences to create algorithmic systems that account for those stakeholders' values. Using algorithmic student assignment…

Computers and Society · Computer Science 2020-07-15 Samantha Robertson , Niloufar Salehi

The definition of preferences assigned to individuals is a concept that concerns many disciplines, from economics, with the search of an acceptable outcome for an ensemble of individuals, to decision making an analysis of vote systems. We…

Physics and Society · Physics 2008-12-02 Elena Ramirez Barrios , Juan G. Diaz Ochoa

The present work is dedicated to searching parameters, alternative to entropy, applicable for description of highly organized systems. The general concept has been offered, in which the system complexity and order are functions of the order…

Information Theory · Computer Science 2010-09-03 V. I. Ilyevsky

Superposition is an established decision procedure for a variety of first-order logic theories represented by sets of clauses. A satisfiable theory, saturated by superposition, implicitly defines a minimal term-generated model for the…

Artificial Intelligence · Computer Science 2009-11-30 Matthias Horbach , Christoph Weidenbach

A causal set is a countably infinite poset in which every element is above finitely many others; causal sets are exactly the posets that have a linear extension with the order-type of the natural numbers -- we call such a linear extension a…

Combinatorics · Mathematics 2012-01-31 Graham Brightwell , Malwina Luczak

For a finite partially ordered set we calculate the dimension of the variety of its subspace representations having fixed dimension vector. The dimension is given in terms of the Euler quadratic form associated with a partially ordered set,…

Representation Theory · Mathematics 2019-02-27 Claudia Cavalcante Fonseca , Kostiantyn Iusenko

The majority of traditional classification ru les minimizing the expected probability of error (0-1 loss) are inappropriate if the class probability distributions are ill-defined or impossible to estimate. We argue that in such cases class…

Machine Learning · Statistics 2018-08-14 Robert P. W. Duin , Elzbieta Pekalska

It has been recently pointed out that dynamical systems depending on future values of the unknowns may be useful in different areas of knowledge. We explore in this context the extension of the concept of order reduction that has been…

Computational Physics · Physics 2007-05-23 J. M. Aguirregabiria