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In this paper, we study a Markov decision process with a non-linear discount function and with a Borel state space. We define a recursive discounted utility, which resembles non-additive utility functions considered in a number of models in…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Anna Jaśkiewicz , Andrzej S. Nowak

We introduce a new framework for multiagent decision-making in queueing systems that leverages the agility and robustness of nonlinear opinion dynamics to break indecision during queue selection and to capture the influence of social…

Optimization and Control · Mathematics 2026-03-31 Mallory E. Gaspard , Naomi Ehrich Leonard

Algorithmic predictions are increasingly informing societal resource allocations by identifying individuals for targeting. Policymakers often build these systems with the assumption that by gathering more observations on individuals, they…

Machine Learning · Computer Science 2025-03-04 Ali Shirali , Ariel Procaccia , Rediet Abebe

We propose a novel randomized linear programming algorithm for approximating the optimal policy of the discounted Markov decision problem. By leveraging the value-policy duality and binary-tree data structures, the algorithm adaptively…

Optimization and Control · Mathematics 2019-06-04 Mengdi Wang

In this work we address the problem of finding feasible policies for Constrained Markov Decision Processes under probability one constraints. We argue that stationary policies are not sufficient for solving this problem, and that a rich…

Machine Learning · Computer Science 2023-02-14 Agustin Castellano , Hancheng Min , Juan Bazerque , Enrique Mallada

This paper deals with unconstrained discounted continuous-time Markov decision processes in Borel state and action spaces. Under some conditions imposed on the primitives, allowing unbounded transition rates and unbounded (from both above…

Optimization and Control · Mathematics 2011-03-02 Alexey Piunovskiy , Yi Zhang

Addressing uncertainty is critical for autonomous systems to robustly adapt to the real world. We formulate the problem of model uncertainty as a continuous Bayes-Adaptive Markov Decision Process (BAMDP), where an agent maintains a…

We consider the problem of optimal budget allocation for crowdsourcing problems, allocating users to tasks to maximize our final confidence in the crowdsourced answers. Such an optimized worker assignment method allows us to boost the…

Machine Learning · Computer Science 2017-02-28 Angela Zhou , Irineo Cabreros , Karan Singh

The process of opinion formation through synthesis and contrast of different viewpoints has been the subject of many studies in economics and social sciences. Today, this process manifests itself also in online social networks and social…

Social and Information Networks · Computer Science 2013-02-01 Aristides Gionis , Evimaria Terzi , Panayiotis Tsaparas

During deliberation processes, mediators and facilitators typically need to select a small and representative set of opinions later used to produce digestible reports for stakeholders. In online deliberation platforms, algorithmic selection…

Computers and Society · Computer Science 2026-02-18 Salim Hafid , Manon Berriche , Jean-Philippe Cointet

This article presents a novel approach for learning low-dimensional distributed representations of users in online social networks. Existing methods rely on the network structure formed by the social relationships among users to extract…

Social and Information Networks · Computer Science 2017-10-23 Harvineet Singh , Amitabha Bagchi , Parag Singla

To improve the reasoning and question-answering capabilities of Large Language Models (LLMs), several multi-agent approaches have been introduced. While these methods enhance performance, the application of collective intelligence-based…

Artificial Intelligence · Computer Science 2024-07-10 Ciaran Regan , Alexandre Gournail , Mizuki Oka

We propose a probabilistic modeling framework for learning the dynamic patterns in the collective behaviors of social agents and developing profiles for different behavioral groups, using data collected from multiple information sources.…

Machine Learning · Statistics 2016-06-28 Lin Li , Ananthram Swami , Anna Scaglione

This paper proposes a network model of opinion dynamics based on both the social network structure and network centralities. The conceptual novelty in this model is that the opinion of each individual is weighted by the associated network…

Social and Information Networks · Computer Science 2022-02-08 Shuang Gao

This work studies networked agents cooperating to track a dynamical state of nature under partial information. The proposed algorithm is a distributed Bayesian filtering algorithm for finite-state hidden Markov models (HMMs). It can be used…

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

In this paper a consensus has been constructed in a social network which is modeled by a stochastic differential game played by agents of that network. Each agent independently minimizes a cost function which represents their motives. A…

Statistics Theory · Mathematics 2021-07-13 Paramahansa Pramanik

This paper considers a time-varying optimization problem associated with a network of systems, with each of the systems shared by (and affecting) a number of individuals. The objective is to minimize cost functions associated with the…

Optimization and Control · Mathematics 2022-03-15 Ana M. Ospina , Andrea Simonetto , Emiliano Dall'Anese

We study the dynamics of public opinion in a model in which agents change their opinions as a result of random binary encounters if the opinion difference is below their individual thresholds that evolve over time. We ground these…

Physics and Society · Physics 2007-12-10 Gani Aldashev , Timoteo Carletti

We describe an algorithm to solve Bellman optimization that replaces a sum over paths determining the optimal cost-to-go by an analytic method localized in state space. Our approach follows from the established relation between stochastic…

Optimization and Control · Mathematics 2022-12-02 Michael D. Schneider , Caleb Miller , George F. Chapline , Jane Pratt , Dan Merl

We consider consensus of multi-agent systems as a dual problem to Markov processes. Based on an exchange of relevant notions and results between the two fields, we present a uniform framework which admits the introduction and treatment of…

Probability · Mathematics 2025-12-30 Fatihcan M. Atay
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