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In two-player zero-sum stochastic games, where two competing players make decisions under uncertainty, a pair of optimal strategies is traditionally described by Nash equilibrium and computed under the assumption that the players have…

Optimization and Control · Mathematics 2019-07-30 Yagiz Savas , Mohamadreza Ahmadi , Takashi Tanaka , Ufuk Topcu

We propose a distributionally robust logistic regression model with an unfairness penalty that prevents discrimination with respect to sensitive attributes such as gender or ethnicity. This model is equivalent to a tractable convex…

Machine Learning · Computer Science 2020-07-21 Bahar Taskesen , Viet Anh Nguyen , Daniel Kuhn , Jose Blanchet

Typically, it is desirable to design a control system that is not only robustly stable in the presence of parametric uncertainties but also guarantees an adequate level of system performance. However, most of the existing methods need to…

Optimization and Control · Mathematics 2020-08-25 Jun Ma , Haiyue Zhu , Masayoshi Tomizuka , Tong Heng Lee

Consider a game where Alice generates an integer and Bob wins if he can factor that integer. Traditional game theory tells us that Bob will always win this game even though in practice Alice will win given our usual assumptions about the…

Computer Science and Game Theory · Computer Science 2009-11-18 Lance Fortnow , Rahul Santhanam

This paper presents an efficient algorithm for robust network reconstruction of Linear Time-Invariant (LTI) systems in the presence of noise, estimation errors and unmodelled nonlinearities. The method here builds on previous work on robust…

Dynamical Systems · Mathematics 2016-11-18 David Hayden , Ye Yuan , Jorge Gonçalves

Ranking is a ubiquitous phenomenon in the human society. By clicking the web pages of Forbes, you may find all kinds of rankings, such as world's most powerful people, world's richest people, top-paid tennis stars, and so on and so forth.…

Data Analysis, Statistics and Probability · Physics 2015-06-03 Weibing Deng , Wei Li , Xu Cai , Alain Bulou , Qiuping A. Wang

This article aims to introduce the paradigm of distributional robustness from the field of convex optimization to tackle optimal design problems under uncertainty. We consider realistic situations where the physical model, and thereby the…

Optimization and Control · Mathematics 2025-07-30 Charles Dapogny , Julien Prando , Boris Thibert

Policy gradient methods usually rely on entropy regularization to prevent premature convergence. However, maximizing entropy indiscriminately pushes the policy towards a uniform distribution, often overriding the reward signal if not…

Machine Learning · Computer Science 2026-03-06 Luca Serfilippi , Giorgio Franceschelli , Antonio Corradi , Mirco Musolesi

Robustness to adversarial attacks was shown to require a larger model capacity, and thus a larger memory footprint. In this paper, we introduce an approach to obtain robust yet compact models by pruning randomly-initialized binary networks.…

Machine Learning · Computer Science 2022-10-18 Chen Liu , Ziqi Zhao , Sabine Süsstrunk , Mathieu Salzmann

A fundamental property of choice functions is stability, which, loosely speaking, prescribes that choice sets are invariant under adding and removing unchosen alternatives. We provide several structural insights that improve our…

Theoretical Economics · Economics 2020-04-06 Felix Brandt , Markus Brill , Hans Georg Seedig , Warut Suksompong

Incentives are key to the success of crowdsourcing which heavily depends on the level of user participation. This paper designs an incentive mechanism to motivate a heterogeneous crowd of users to actively participate in crowdsourcing…

Multiagent Systems · Computer Science 2018-12-13 Tie Luo , Salil S. Kanhere , Sajal K. Das , Hwee-Pink Tan

A central challenge in mechanism design is to identify mechanisms whose performance is robust under uncertainty about the environment. The maxmin optimality criterion is commonly used for this purpose, but it often yields a large and…

Theoretical Economics · Economics 2026-04-08 Ashwin Kambhampati

This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Small-gain techniques in modern mathematical control theory are used for the first time to derive conditions…

Dynamical Systems · Mathematics 2010-01-12 Iasson Karafyllis , Zhong-Ping Jiang , George Athanasiou

Cooperative equilibria are fragile. When agents learn alongside each other rather than in a fixed environment, the process of learning destabilizes the cooperation they are trying to sustain: every gradient step an agent takes shifts the…

Computer Science and Game Theory · Computer Science 2026-04-20 Deep Kumar Ganguly , Chandradithya S Jonnalagadda , Pratham Chintamani , Adithya Ananth

Dynamic pricing is commonly used to regulate congestion in shared service systems. This paper is motivated by the fact that in the presence of users with varying price sensitivity (responsiveness), conventional monotonic pricing can lead to…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Yingqing Chen , Anni Li , Christos G. Cassandras , Homayoun Hamedmoghadam , Fabian Wirth , Robert Shorten

Robust learning methods aim to learn a clean target distribution from noisy and corrupted training data where a specific corruption pattern is often assumed a priori. Our proposed method can not only successfully learn the clean target…

Machine Learning · Computer Science 2023-02-08 Jeongeun Park , Seungyoun Shin , Sangheum Hwang , Sungjoon Choi

We design and analyze attention games that incentivize validators to check computation results. We show that no pure strategy Nash equilibrium of the game without outside parties exists by a simple argument. We then proceed to calculate the…

Computer Science and Game Theory · Computer Science 2023-08-08 Akaki Mamageishvili , Edward W. Felten

Constrained reinforcement learning is to maximize the expected reward subject to constraints on utilities/costs. However, the training environment may not be the same as the test one, due to, e.g., modeling error, adversarial attack,…

Machine Learning · Computer Science 2022-09-16 Yue Wang , Fei Miao , Shaofeng Zou

We consider a tournament among four equally strong semifinalists. The players have to decide how much stamina to use in the semifinals, provided that the rest is available in the final and the third-place playoff. We investigate optimal…

Physics and Society · Physics 2015-05-04 Seung Ki Baek , Seung-Woo Son , Hyeong-Chai Jeong

Competition between a complex system's constituents and a corresponding reward mechanism based on it have profound influence on the functioning, stability, and evolution of the system. But determining the dominance hierarchy or ranking…

Physics and Society · Physics 2016-03-25 Juyong Park , Soon-Hyung Yook