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In multiple criteria decision aiding, very often the alternatives are compared by means of a value function compatible with the preferences expressed by the Decision Maker. The problem is that, in general, there is a plurality of compatible…

Optimization and Control · Mathematics 2023-04-14 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

This work examines a social learning problem, where dispersed agents connected through a network topology interact locally to form their opinions (beliefs) as regards certain hypotheses of interest. These opinions evolve over time, since…

Signal Processing · Electrical Eng. & Systems 2023-01-26 Michele Cirillo , Virginia Bordignon , Vincenzo Matta , Ali H. Sayed

This paper proposes a unified theoretical model to identify and test a comprehensive set of probabilistic updating biases within a single framework. The model achieves separate identification by focusing on the updating of belief…

General Economics · Economics 2026-03-27 Pedro Gonzalez-Fernandez

Multi-agent decision-making under uncertainty is fundamental for effective and safe autonomous operation. In many real-world scenarios, each agent maintains its own belief over the environment and must plan actions accordingly. However,…

Multiagent Systems · Computer Science 2025-12-25 Moshe Rafaeli Shimron , Vadim Indelman

Several well-established benchmark predictors exist for Value-at-Risk (VaR), a major instrument for financial risk management. Hybrid methods combining AR-GARCH filtering with skewed-$t$ residuals and the extreme value theory-based approach…

Risk Management · Quantitative Finance 2021-11-25 Shige Peng , Shuzhen Yang , Jianfeng Yao

Under general multivariate regular variation conditions, the extreme Value-at-Risk of a portfolio can be expressed as an integral of a known kernel with respect to a generally unknown spectral measure supported on the unit simplex. The…

Statistics Theory · Mathematics 2020-03-09 Robert Yuen , Stilian Stoev , Dan Cooley

This paper studies Pareto-optimal reinsurance design in a monopolistic market with multiple primary insurers and a single reinsurer, all with heterogeneous risk preferences. The risk preferences are characterized by a family of risk…

Risk Management · Quantitative Finance 2025-12-15 Tim J. Boonen , Xia Han , Peng Liu , Jiacong Wang

A framework for consensus modelling is introduced using Kleene's three valued logic as a means to express vagueness in agents' beliefs. Explicitly borderline cases are inherent to propositions involving vague concepts where sentences of a…

Multiagent Systems · Computer Science 2018-01-15 Michael Crosscombe , Jonathan Lawry

The frequent occurrence of natural disasters has posed significant challenges to society, necessitating the urgent development of effective risk management strategies. From the early informal community-based risk sharing mechanisms to…

Risk Management · Quantitative Finance 2025-08-06 Lichen Wang , Shijia Hua , Yuyuan Liu , Zhengyuan Lu , Liang Zhang , Linjie Liu , Attila Szolnoki

We address imbalanced classification, the problem in which a label may have low marginal probability relative to other labels, by weighting losses according to the correct class. First, we examine the convergence rates of the expected…

Machine Learning · Statistics 2020-05-28 Ziyu Xu , Chen Dan , Justin Khim , Pradeep Ravikumar

The so-called risk diversification principle is analyzed, showing that its convenience depends on individual characteristics of the risks involved and the dependence relationship among them. ----- Se analiza el principio de…

Risk Management · Quantitative Finance 2016-09-12 Arturo Erdely

Value-alignment in normative multi-agent systems is used to promote a certain value and to ensure the consistent behaviour of agents in autonomous intelligent systems with human values. However, the current literature is limited to the…

Multiagent Systems · Computer Science 2023-10-13 Maha Riad , Vinicius de Carvalho , Fatemeh Golpayegani

Quantile aggregation with dependence uncertainty has a long history in probability theory with wide applications in finance, risk management, statistics, and operations research. Using a recent result on inf-convolution of quantile-based…

Risk Management · Quantitative Finance 2024-09-09 Jose Blanchet , Henry Lam , Yang Liu , Ruodu Wang

Value-alignment in normative multi-agent systems is used to promote a certain value and to ensure the consistent behavior of agents in autonomous intelligent systems with human values. However, the current literature is limited to…

Multiagent Systems · Computer Science 2023-05-15 Maha Riad , Vinicius Renan de Carvalho , Fatemeh Golpayegani

This paper motivates and develops a novel and focused approach to variable selection in linear regression models. For estimating the regression mean $\mu=\E\,(Y\midd x_0)$, for the covariate vector of a given individual, there is a list of…

Methodology · Statistics 2026-02-19 Nils Lid Hjort

With the rise of increasingly powerful and user-facing NLP systems, there is growing interest in assessing whether they have a good representation of uncertainty by evaluating the quality of their predictive distribution over outcomes. We…

Computation and Language · Computer Science 2024-02-27 Joris Baan , Raquel Fernández , Barbara Plank , Wilker Aziz

This work addresses the problem of sharing partial information within social learning strategies. In traditional social learning, agents solve a distributed multiple hypothesis testing problem by performing two operations at each instant:…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Virginia Bordignon , Vincenzo Matta , Ali H. Sayed

We study discrete preference games in heterogeneous social networks. These games model the interplay between a player's private belief and his/her publicly stated opinion (which could be different from the player's belief) as a strategic…

Computer Science and Game Theory · Computer Science 2016-03-10 Vincenzo Auletta , Ioannis Caragiannis , Diodato Ferraioli , Clemente Galdi , Giuseppe Persiano

We consider the problem of inference in shift-share research designs. The choice between existing approaches that allow for unrestricted spatial correlation involves tradeoffs, varying in terms of their validity when there are relatively…

Econometrics · Economics 2022-06-03 Luis Alvarez , Bruno Ferman , Raoni Oliveira

Models of continuous opinion dynamics under bounded confidence show a sharp transition between a consensus and a polarization phase at a critical global bound of confidence. In this paper, heterogeneous bounds of confidence are studied. The…

Physics and Society · Physics 2010-12-07 Jan Lorenz