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In games with a large number of players where players may have overlapping objectives, the analysis of stable outcomes typically depends on player types. A special case is when a large part of the player population consists of imitation…

Computer Science and Game Theory · Computer Science 2010-06-18 Soumya Paul , R. Ramanujam

Consider the following multi-phase project management problem. Each project is divided into several phases. All projects enter the next phase at the same point chosen by the decision maker based on observations up to that point. Within each…

Statistics Theory · Mathematics 2007-06-13 Hock Peng Chan , Cheng-Der Fuh , Inchi Hu

We consider the simple epidemiological SIS model for a general heterogeneous population introduced by Lajmanovich and Yorke (1976) in finite dimension, and its infinite dimensional generalization we introduced in previous works. In this…

Dynamical Systems · Mathematics 2022-11-29 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

Cluster-randomized trials are often conducted to assess vaccine effects. Defining estimands of interest before conducting a trial is integral to the alignment between a study's objectives and the data to be collected and analyzed. This…

Methodology · Statistics 2019-10-10 Kayla W. Kilpatrick , Michael G. Hudgens , M. Elizabeth Halloran

This paper investigates the problem of ensembling multiple strategies for sequential portfolios to outperform individual strategies in terms of long-term wealth. Due to the uncertainty of strategies' performances in the future market, which…

Portfolio Management · Quantitative Finance 2025-02-07 Duy Khanh Lam

Knowledge of the protection afforded by vaccines might, in some circumstances, modify a vaccinated individual's behaviour, potentially increasing exposure to pathogens and hindering effectiveness. Although vaccine studies typically do not…

An inconsistent knowledge base can be abstracted as a set of arguments and a defeat relation among them. There can be more than one consistent way to evaluate such an argumentation graph. Collective argument evaluation is the problem of…

Artificial Intelligence · Computer Science 2017-06-20 Edmond Awad , Martin Caminada , Gabriella Pigozzi , Mikołaj Podlaszewski , Iyad Rahwan

This paper uses new and existing methods to study collective trends across countries throughout the pandemic, with a focus on the multivariate time series of reproduction numbers and vaccine proliferation. We begin with a time-varying…

Physics and Society · Physics 2023-10-16 Nick James , Max Menzies

Early on during a pandemic, vaccine availability is limited, requiring prioritisation of different population groups. Evaluating vaccine allocation is therefore a crucial element of pandemics response. In the present work, we develop a…

We study allocation problems without monetary transfers where agents have correlated types, i.e., hold private information about one another. Such peer information is relevant in various settings, including science funding, allocation of…

Theoretical Economics · Economics 2025-03-21 Axel Niemeyer , Justus Preusser

Vaccines have proven effective in mitigating the threat of severe infections and deaths during outbreaks of infectious diseases. However, vaccine hesitancy (VH) complicates disease spread prediction and healthcare resource assessment across…

Optimization and Control · Mathematics 2024-05-10 Hieu Bui , Sandra Eksioglu , Ruben Proano , Haoming Shen

We analyze a class of general nonlinear epidemic models with age and space structure, including a nonlocal infection term depending on age and space. After establishing the well-posedness of the state partial differential equation, we…

Optimization and Control · Mathematics 2025-03-11 Behzad Azmi , Nicolas Schlosser

A decision maker typically (i) incorporates training data to learn about the relative effectiveness of treatments, and (ii) chooses an implementation mechanism that implies an ``optimal'' predicted outcome distribution according to some…

Econometrics · Economics 2025-05-29 Anders Bredahl Kock , David Preinerstorfer

Considering the global pandemic of coronavirus disease 2019 (COVID-19), around the world several vaccines are being developed. Till now, these vaccines are the most effective way to reduce the high burden on the global health…

Physics and Society · Physics 2023-02-22 Dibyajyoti Mallick , Aniruddha Ray , Ankita Das , Sayantari Ghosh

We conducted a literature review of COVID-19 vaccine allocation modelling papers, specifically looking for publications that considered equity. We found that most models did not take equity into account, with the vast majority of…

Applications · Statistics 2024-09-19 Eva Rumpler , Marc Lipsitch

Epidemics occur in all shapes and forms: infections propagating in our sparse sexual networks, rumours and diseases spreading through our much denser social interactions, or viruses circulating on the Internet. With the advent of large…

Physics and Society · Physics 2013-09-02 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

Pathogens usually exist in heterogeneous variants, like subtypes and strains. Quantifying treatment effects on the different variants is important for guiding prevention policies and treatment development. Here we ground analyses of…

Applications · Statistics 2024-08-15 Gellert Perenyi , Mats J. Stensrud

We consider a mathematical model describing the propagation of an epidemic on a geographical network. The size of the outbreak is governed by the initial growth rate of the disease given by the maximal eigenvalue of the epidemic matrix…

Physics and Society · Physics 2024-06-06 Mohamad Badaoui , Jean-Guy Caputo , Gustavo Cruz-Pacheco , Arnaud Knippel

One of the most important tools available to limit the spread and impact of infectious diseases is vaccination. It is therefore important to understand what factors determine people's vaccination decisions. To this end, previous behavioural…

Consider an experiment, where a new drug is tested for the first time on human subjects - healthy volunteers. Such experiments are often performed as dose-escalation studies: a set of increasing doses is pre-selected, individuals are…

Statistics Theory · Mathematics 2016-08-17 Samuel Rosa , Radoslav Harman