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In the prophet inequality problem, a gambler faces a sequence of items arriving online with values drawn independently from known distributions. On seeing an item, the gambler must choose whether to accept its value as her reward and quit…

Data Structures and Algorithms · Computer Science 2023-05-23 Archit Bubna , Ashish Chiplunkar

A decisionmaker faces $n$ alternatives, each of which represents a potential reward. After investing costly resources into investigating the alternatives, the decisionmaker may select one, or more generally a feasible subset, and obtain the…

Computer Science and Game Theory · Computer Science 2026-04-02 Robin Bowers , Elias Lindgren , Bo Waggoner

The rich literature on online Bayesian selection problems has long focused on so-called prophet inequalities, which compare the gain of an online algorithm to that of a "prophet" who knows the future. An equally-natural, though…

Data Structures and Algorithms · Computer Science 2021-08-19 Christos Papadimitriou , Tristan Pollner , Amin Saberi , David Wajc

In this paper we study a resource allocation problem that encodes correlation between items in terms of \conflict and maximizes the minimum utility of the agents under a conflict free allocation. Admittedly, the problem is computationally…

Data Structures and Algorithms · Computer Science 2023-09-12 Sushmita Gupta , Pallavi Jain , Saket Saurabh

We explore the connection between an agent's decision problem and her ranking of information structures. We find that a finite amount of ordinal data on the agent's ranking of experiments is enough to identify her (finite) set of…

Theoretical Economics · Economics 2024-04-02 Mark Whitmeyer

Recent advances in recommender systems have shown that user-system interaction essentially formulates long-term optimization problems, and online reinforcement learning can be adopted to improve recommendation performance. The general…

Information Retrieval · Computer Science 2025-02-04 Xiaobei Wang , Shuchang Liu , Qingpeng Cai , Xiang Li , Lantao Hu , Han li , Guangming Xie

A principal must decide between two options. Which one she prefers depends on the private information of two agents. One agent always prefers the first option; the other always prefers the second. Transfers are infeasible. One application…

Theoretical Economics · Economics 2022-05-24 Deniz Kattwinkel , Axel Niemeyer , Justus Preusser , Alexander Winter

We consider a problem of prediction based on opinions elicited from heterogeneous rational agents with private information. Making an accurate prediction with a minimal cost requires a joint design of the incentive mechanism and the…

Computer Science and Game Theory · Computer Science 2016-02-25 Yuan Luo , Nihar B. Shah , Jianwei Huang , Jean Walrand

Traditional approaches to the design of multi-agent navigation algorithms consider the environment as a fixed constraint, despite the obvious influence of spatial constraints on agents' performance. Yet hand-designing improved environment…

Robotics · Computer Science 2022-09-26 Zhan Gao , Amanda Prorok

The self-organization in cooperative regimes in a simple mean-field version of a model based on "selfish" agents which play the Prisoner's Dilemma (PD) game is studied. The agents have no memory and use strategies not based on direct…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 H. Fort

Prophet inequalities are fundamental optimal stopping problems, where a decision-maker observes sequentially items with values sampled independently from known distributions, and must decide at each new observation to either stop and gain…

Data Structures and Algorithms · Computer Science 2024-11-19 Ziyad Benomar , Dorian Baudry , Vianney Perchet

We study the power and limitations of posted prices in multi-unit markets, where agents arrive sequentially in an arbitrary order. We prove upper and lower bounds on the largest fraction of the optimal social welfare that can be guaranteed…

Computer Science and Game Theory · Computer Science 2020-02-18 Tomer Ezra , Michal Feldman , Tim Roughgarden , Warut Suksompong

For AI systems to be useful to humans, they must understand and act in accordance with our values and preferences. Since specifying preferences is a hard task, inverse reinforcement learning (IRL) aims to develop methods that allow for…

Artificial Intelligence · Computer Science 2026-05-12 Karim Abdel Sadek , Mark Bedaywi , Rhys Gould , Stuart Russell

Communication networks are essential for our economy and our everyday lives. This makes them lucrative targets for attacks. Today, we see an ongoing battle between criminals that try to disrupt our key communication networks and security…

Computer Science and Game Theory · Computer Science 2025-11-17 Natan Doubez , Pascal Lenzner , Marcus Wunderlich

Autonomous agents (robots) face tremendous challenges while interacting with heterogeneous human agents in close proximity. One of these challenges is that the autonomous agent does not have an accurate model tailored to the specific human…

Robotics · Computer Science 2023-04-25 Shuangge Wang , Yiwei Lyu , John M. Dolan

In centralized multi-agent systems, often modeled as multi-agent partially observable Markov decision processes (MPOMDPs), the action and observation spaces grow exponentially with the number of agents, making the value and belief…

Artificial Intelligence · Computer Science 2024-02-26 Maris F. L. Galesloot , Thiago D. Simão , Sebastian Junges , Nils Jansen

We consider the problem of allocating a set of divisible goods to $N$ agents in an online manner, aiming to maximize the Nash social welfare, a widely studied objective which provides a balance between fairness and efficiency. The goods…

Computer Science and Game Theory · Computer Science 2021-08-04 Siddhartha Banerjee , Vasilis Gkatzelis , Artur Gorokh , Billy Jin

We study the classic problem of fairly allocating a set of indivisible goods among a group of agents, and focus on the notion of approximate proportionality known as PROPm. Prior work showed that there exists an allocation that satisfies…

Computer Science and Game Theory · Computer Science 2021-05-25 Artem Baklanov , Pranav Garimidi , Vasilis Gkatzelis , Daniel Schoepflin

Consider a multi-agent systems setup in which a principal (a supervisor agent) assigns subtasks to specialized agents and aggregates their responses into a single system-level output. A core property of such systems is information…

Multiagent Systems · Computer Science 2026-02-02 Paulius Rauba , Simonas Cepenas , Mihaela van der Schaar

In this paper we consider an interacting two-agent sequential decision-making problem consisting of a Markov source process, a causal encoder with feedback, and a causal decoder. Motivated by a desire to foster links between control and…

Information Theory · Computer Science 2015-03-18 Siva Gorantla , Todd Coleman
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