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We propose a novel framework for robust dynamic games with nonlinear dynamics corrupted by state-dependent additive noise, and nonlinear agent-specific and shared constraints. Leveraging system-level synthesis (SLS), each agent designs a…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Shuyu Zhan , Chih-Yuan Chiu , Antoine P. Leeman , Glen Chou

Robust optimization is a method for optimization under uncertainties in engineering systems and designs for applications ranging from aeronautics to nuclear. In a robust design process, parameter variability (or uncertainty) is incorporated…

Computation · Statistics 2022-10-17 Richa Verma , Dinesh Kumar , Kazuma Kobayashi , Syed Alam

There has been great interest in fairness in machine learning, especially in relation to classification problems. In ranking-related problems, such as in online advertising, recommender systems, and HR automation, much work on fairness…

Machine Learning · Computer Science 2025-04-21 Andrii Kliachkin , Eleni Psaroudaki , Jakub Marecek , Dimitris Fotakis

We discuss a duel-type game in which Player I uses his resource continuously and Player II distributes it by discrete portions. Each player knows how much resources he and his opponent have at every moment of time. The solution of the game…

Optimization and Control · Mathematics 2009-10-06 Lyubov N. Positselskaya

We study the mechanism design problem of allocating a set of indivisible items without monetary transfers. Despite the vast literature on this very standard model, it still remains unclear how do truthful mechanisms look like. We focus on…

Computer Science and Game Theory · Computer Science 2017-05-31 Georgios Amanatidis , Georgios Birmpas , George Christodoulou , Evangelos Markakis

The distributionally robust Markov Decision Process (MDP) approach asks for a distributionally robust policy that achieves the maximal expected total reward under the most adversarial distribution of uncertain parameters. In this paper, we…

Systems and Control · Computer Science 2018-10-10 Zhi Chen , Pengqian Yu , William B. Haskell

The speed-robust scheduling problem is a two-stage problem where given $m$ machines, jobs must be grouped into at most $m$ bags while the processing speeds of the given $m$ machines are unknown. After the speeds are revealed, the grouped…

Data Structures and Algorithms · Computer Science 2022-06-01 Franziska Eberle , Ruben Hoeksma , Nicole Megow , Lukas Nölke , Kevin Schewior , Bertrand Simon

We propose two solution concepts for matchings under preferences: robustness and near stability. The former strengthens while the latter relaxes the classic definition of stability by Gale and Shapley (1962). Informally speaking, robustness…

Computer Science and Game Theory · Computer Science 2019-06-06 Jiehua Chen , Piotr Skowron , Manuel Sorge

The Swiss-system is an increasingly popular competition format as it provides a favourable trade-off between the number of matches and ranking accuracy. However, there is no empirical study on the potential unfairness of Swiss-system chess…

General Economics · Economics 2026-02-27 László Csató , Alex Krumer

Reward machines are an established tool for dealing with reinforcement learning problems in which rewards are sparse and depend on complex sequences of actions. However, existing algorithms for learning reward machines assume an overly…

Machine Learning · Computer Science 2025-10-20 Jan Corazza , Ivan Gavran , Daniel Neider

Reward Machines provide an automaton-inspired structure for specifying instructions, safety constraints, and other temporally extended reward-worthy behaviour. By exposing the underlying structure of a reward function, they enable the…

Machine Learning · Computer Science 2025-01-16 Andrew C. Li , Zizhao Chen , Toryn Q. Klassen , Pashootan Vaezipoor , Rodrigo Toro Icarte , Sheila A. McIlraith

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

Computer Science and Game Theory · Computer Science 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

Many potential applications of reinforcement learning (RL) require guarantees that the agent will perform well in the face of disturbances to the dynamics or reward function. In this paper, we prove theoretically that maximum entropy…

Machine Learning · Computer Science 2022-05-06 Benjamin Eysenbach , Sergey Levine

Mode estimation is a classical problem in statistics with a wide range of applications in machine learning. Despite this, there is little understanding in its robustness properties under possibly adversarial data contamination. In this…

Machine Learning · Computer Science 2020-03-09 Aldo Pacchiano , Heinrich Jiang , Michael I. Jordan

In most practical problems of classifier learning, the training data suffers from the label noise. Hence, it is important to understand how robust is a learning algorithm to such label noise. This paper presents some theoretical analysis to…

Machine Learning · Computer Science 2016-08-29 Aritra Ghosh , Naresh Manwani , P. S. Sastry

In this note, we extend a recent result on the uniqueness of the maximum score in a classical round-robin tournament to general round-robin tournament models with equally strong players, where the scores take values in $[0,\,1]$.

Probability · Mathematics 2025-12-04 Gideon Amir , Yaakov Malinovsky

We study robust Markov games (RMG) with $s$-rectangular uncertainty. We show a general equivalence between computing a robust Nash equilibrium (RNE) of a $s$-rectangular RMG and computing a Nash equilibrium (NE) of an appropriately…

Computer Science and Game Theory · Computer Science 2024-06-14 Jeremy McMahan , Giovanni Artiglio , Qiaomin Xie

Motivated by the scarcity of accurate payoff feedback in practical applications of game theory, we examine a class of learning dynamics where players adjust their choices based on past payoff observations that are subject to noise and…

Optimization and Control · Mathematics 2016-06-03 Mario Bravo , Panayotis Mertikopoulos

A principal contracts with an agent who sequentially searches over projects to generate a prize. The principal initially knows only one of the agent's available projects and evaluates a contract by its worst-case performance. We…

Theoretical Economics · Economics 2025-09-17 Théo Durandard , Udayan Vaidya , Boli Xu

Given a learning task where the data is distributed among several parties, communication is one of the fundamental resources which the parties would like to minimize. We present a distributed boosting algorithm which is resilient to a…

Machine Learning · Computer Science 2022-06-14 Yuval Filmus , Idan Mehalel , Shay Moran
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