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Influence maximization which asks for $k$-size seed set from a social network such that maximizing the influence over all other users (called influence spread) has widely attracted attention due to its significant applications in viral…

Social and Information Networks · Computer Science 2018-02-16 Xin Yang , Ju Fan

Allocation of scarce healthcare resources under limited logistic and infrastructural facilities is a major issue in the modern society. We consider the problem of allocation of healthcare resources like vaccines to people or hospital beds…

Multiagent Systems · Computer Science 2023-03-21 Aadityan Ganesh , Prajakta Nimbhorkar , Pratik Ghosal , Vishwa Prakash HV

Recently, various non-classical properties of quantum states and channels have been characterized through an advantage they provide in specific quantum information tasks over their classical counterparts. Such advantage can be typically…

Quantum Physics · Physics 2022-01-05 Erkka Haapasalo , Tristan Kraft , Juha-Pekka Pellonpää , Roope Uola

Given an initial resource allocation, where some agents may envy others or where a different distribution of resources might lead to higher social welfare, our goal is to improve the allocation without reassigning resources. We consider a…

Computer Science and Game Theory · Computer Science 2021-12-15 Robert Bredereck , Andrzej Kaczmarczyk , Junjie Luo , Rolf Niedermeier , Florian Sachse

In mainstream neoclassical economics, utility maximization is the only engine of individual action, and the other or the social, if it is modeled for decisions deemed fundamental, it is done as a tacit externality parameter affecting an…

Theoretical Economics · Economics 2026-02-24 Alfio Giarlotta , M. Ali Khan , Angelo Enrico Petralia , Francesco Reito

Bertrand et al. introduced a model of parameterised systems, where each agent is represented by a finite state system, and studied the following control problem: for any number of agents, does there exist a controller able to bring all…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Thomas Colcombet , Nathanaël Fijalkow , Pierre Ohlmann

We study the problem of maximising terminal utility for an agent facing model uncertainty, in a frictionless discrete-time market with one safe asset and finitely many risky assets. We show that an optimal investment strategy exists if the…

Mathematical Finance · Quantitative Finance 2020-07-10 Miklós Rásonyi , Andrea Meireles-Rodrigues

Ensuring fairness in data driven decision making has become a central concern across domains such as marketing, lending, and healthcare, but fairness constraints often come at the cost of utility. We propose a statistical hypothesis testing…

Computers and Society · Computer Science 2025-09-25 Yan Chen , Zheng Tan , Jose Blanchet , Hanzhang Qin

We consider the problem of rate and power allocation in a multiple-access channel. Our objective is to obtain rate and power allocation policies that maximize a general concave utility function of average transmission rates on the…

Information Theory · Computer Science 2016-11-15 Ali ParandehGheibi , Atilla Eryilmaz , Asuman Ozdaglar , Muriel Medard

We study the problem in which a central planner sequentially allocates a single resource to multiple strategic agents using their utility reports at each round, but without using any monetary transfers. We consider general agent utility…

Computer Science and Game Theory · Computer Science 2024-08-20 Moise Blanchard , Patrick Jaillet

Frequency non-selective time-selective multiple access channels in which transmitters can freely choose their power control policy are considered. The individual objective of the transmitters is to maximize their averaged energy-efficiency.…

Computer Science and Game Theory · Computer Science 2011-07-22 François Mériaux , Maël Le Treust , Samson Lasaulce , Michel Kieffer

Suppose that under the action of gravity, liquid drains through the unit $d$-cube via a minimal-length network of channels constrained to pass through random sites and to flow with nonnegative component in one of the canonical orthogonal…

Probability · Mathematics 2010-09-01 Mathew D. Penrose , Andrew R. Wade

The aim of this article is to define a notion of cardinal utility function called measurable utility and to define it on a connected and separable subset of a weakly ordered topological space. The definition is equivalent to the ones given…

General Economics · Economics 2023-01-04 Gianmarco Caldini

Law enforcement must prioritize sources of unfairness before mitigating their underlying unfairness, considering that they have limited resources. Unlike previous works that only make cautionary claims of discrimination and de-biases data…

Artificial Intelligence · Computer Science 2021-03-12 Pavan Ravishankar , Pranshu Malviya , Balaraman Ravindran

It is standard in computational social choice to analyse welfare considerations under the assumptions of normalized utilities. In this note, we summarize some common reasons for this approach. We then mention another justification which is…

Computer Science and Game Theory · Computer Science 2019-05-28 Haris Aziz

Benchmarks in the utility function have various interpretations, including performance guarantees and risk constraints in fund contracts and reference levels in cumulative prospect theory. In most literature, benchmarks are a deterministic…

Optimization and Control · Mathematics 2023-12-05 Zongxia Liang , Yang Liu , Litian Zhang

We consider the Bayesian optimal filtering problem: i.e. estimating some conditional statistics of a latent time-series signal from an observation sequence. Classical approaches often rely on the use of assumed or estimated transition and…

Machine Learning · Statistics 2023-03-16 Adrian N. Bishop , Edwin V. Bonilla

We examine the minimization of a quadratic cost functional composed of the output and the final state of abstract infinite-dimensional evolution equations in view of existence of solutions and optimality conditions. While the initial value…

Optimization and Control · Mathematics 2024-12-20 Timo Reis , Manuel Schaller

In this article, we present explicit estimates of the size of the domain on which the Implicit Function Theorem and the Inverse Function Theorem are valid. For maps that are twice continuously differentiable, these estimates depend upon the…

Systems and Control · Electrical Eng. & Systems 2023-09-28 Ashutosh Jindal , Debasish Chatterjee , Ravi Banavar

This paper considers quantile-welfare evaluation of social welfare as an alternative to utilitarian evaluation. Manski (1988) originally proposed and studied maximization of quantile utility as a model of individual decision making under…

Econometrics · Economics 2026-04-17 Charles F. Manski , John Mullahy