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We introduce and study Minkowski games. These are two player games, where the players take turns to chose positions in $\mathbb{R}^d$ based on some rules. Variants include boundedness games, where one player wants to keep the positions…

Computer Science and Game Theory · Computer Science 2016-11-28 Stéphane Le Roux , Arno Pauly , Jean-François Raskin

We consider games with two antagonistic players --- \'Elo\"ise (modelling a program) and Ab\'elard (modelling a byzantine environment) --- and a third, unpredictable and uncontrollable player, that we call Nature. Motivated by the fact that…

Formal Languages and Automata Theory · Computer Science 2020-10-14 Arnaud Carayol , Olivier Serre

Coding theory plays a crucial role in ensuring data integrity and reliability across various domains, from communication to computation and storage systems. However, its reliance on trust assumptions for data recovery, which requires the…

Information Theory · Computer Science 2026-01-15 Hanzaleh Akbari Nodehi , Viveck R. Cadambe , Mohammad Ali Maddah-Ali

In this paper a distribution-free methodology is presented for providing robustness guarantees for Nash equilibria (NE) of multi-agent games. Leveraging recent a posteriori developments of the so called scenario approach (Campi et al.,…

Optimization and Control · Mathematics 2020-03-26 George Pantazis , Filiberto Fele , Kostas Margellos

We consider the problem of decentralized power allocation for competitive rate-maximization in a frequency-selective Gaussian interference channel under bounded channel uncertainty. We formulate a distribution-free robust framework for the…

Information Theory · Computer Science 2015-03-17 Amod J. G. Anandkumar , Animashree Anandkumar , Sangarapillai Lambotharan , Jonathon A. Chambers

Communication games are one of the widely used tools that are designed to demonstrate quantum supremacy over classical resources. In that, two or more parties collaborate to perform an information processing task to achieve the highest…

Quantum Physics · Physics 2023-01-02 Abhyoudai. S. S. , Sumit Mukherjee , A. K. Pan

Several variations of hat guessing games have been popularly discussed in recreational mathematics. In a typical hat guessing game, after initially coordinating a strategy, each of $n$ players is assigned a hat from a given color set.…

Combinatorics · Mathematics 2011-01-20 Tengyu Ma , Xiaoming Sun , Huacheng Yu

We study a recently introduced class of strategic games that is motivated by and generalizes Schelling's well-known residential segregation model. These games are played on undirected graphs, with the set of agents partitioned into multiple…

Computer Science and Game Theory · Computer Science 2019-11-25 Aishwarya Agarwal , Edith Elkind , Jiarui Gan , Alexandros A. Voudouris

We study the problem of learning classifiers robust to universal adversarial perturbations. While prior work approaches this problem via robust optimization, adversarial training, or input transformation, we instead phrase it as a…

Machine Learning · Computer Science 2018-09-27 Julien Perolat , Mateusz Malinowski , Bilal Piot , Olivier Pietquin

We study two-player games on finite graphs. Turn-based games have many nice properties, but concurrent games are harder to tame: e.g. turn-based stochastic parity games have positional optimal strategies, whereas even basic concurrent…

Computer Science and Game Theory · Computer Science 2023-11-27 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux

Control of multi-agent systems via game theory is investigated. Assume a system level object is given, the utility functions for individual agents are designed to convert a multi-agent system into a potential game. First, for fixed…

Optimization and Control · Mathematics 2016-08-02 Ting Liu , Jinhuan Wang , Daizhan Cheng

We use ideas from distributed computing and game theory to study dynamic and decentralized environments in which computational nodes, or decision makers, interact strategically and with limited information. In such environments, which arise…

Computer Science and Game Theory · Computer Science 2017-04-06 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

Deep neural networks (DNNs) have a wide range of applications, and software employing them must be thoroughly tested, especially in safety-critical domains. However, traditional software test coverage metrics cannot be applied directly to…

Machine Learning · Computer Science 2019-04-16 Youcheng Sun , Xiaowei Huang , Daniel Kroening , James Sharp , Matthew Hill , Rob Ashmore

We consider concurrent games played on graphs. At every round of a game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2008-09-25 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

Given a family of graphs $\mathcal{F}$, we define the $\mathcal{F}$-saturation game as follows. Two players alternate adding edges to an initially empty graph on $n$ vertices, with the only constraint being that neither player can add an…

Combinatorics · Mathematics 2022-08-26 Sean English , Tomáš Masařík , Grace McCourt , Erin Meger , Michael S. Ross , Sam Spiro

We consider control of heterogeneous players repeatedly playing an anti-coordination network game. In an anti-coordination game, each player has an incentive to differentiate its action from its neighbors. At each round of play, players…

Systems and Control · Computer Science 2018-12-13 Ceyhun Eksin , Keith Paarporn

Many of our critical infrastructure systems and personal computing systems have a distributed computing systems structure. The incentives to attack them have been growing rapidly as has their attack surface due to increasing levels of…

Cryptography and Security · Computer Science 2024-05-29 Mustafa Abdallah , Saurabh Bagchi , Shaunak D. Bopardikar , Kevin Chan , Xing Gao , Murat Kantarcioglu , Congmiao Li , Peng Liu , Quanyan Zhu

Consider a sensor network consisting of both anchor and non-anchor nodes. We address the following sensor network localization (SNL) problem: given the physical locations of anchor nodes and relative measurements among all nodes, determine…

Optimization and Control · Mathematics 2024-01-08 Gehui Xu , Guanpu Chen , Yiguang Hong , Baris Fidan , Thomas Parisini , Karl H. Johansson

Modern control systems are featured by their hierarchical structure composing of cyber, physical, and human layers. The intricate dependencies among multiple layers and units of modern control systems require an integrated framework to…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Yunhan Huang , Juntao Chen , Linan Huang , Quanyan Zhu

Two intimately related new classes of games are introduced and studied: entropy games (EGs) and matrix multiplication games (MMGs). An EG is played on a finite arena by two-and-a-half players: Despot, Tribune and the non-deterministic…

Computer Science and Game Theory · Computer Science 2015-12-22 Eugene Asarin , Julien Cervelle , Aldric Degorre , Catalin Dima , Florian Horn , Victor Kozyakin