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We introduce the competitive assignment problem, a two-player version of the well-known assignment problem. Given a set of tasks and a set of agents with different efficiencies for different tasks, Alice and Bob take turns picking agents…

Computer Science and Game Theory · Computer Science 2026-02-10 Florian Galliot , Nacim Oijid , Jonas Sénizergues

In a recently introduced coset guessing game, Alice plays against Bob and Charlie, aiming to meet a joint winning condition. Bob and Charlie can only communicate before the game starts to devise a joint strategy. The game we consider begins…

Quantum Physics · Physics 2025-10-01 Michael Schleppy , Emina Soljanin , Nicolas Swanson

Watermarking techniques for large language models (LLMs), which encode hidden information in the output so its source can be verified, have gained significant attention in recent days, thanks to their potential capability to detect…

Computer Science and Game Theory · Computer Science 2026-05-15 Juho Kim , Fei Fang , Tuomas Sandholm

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

Classical coding-theoretic guarantees often rely on trust assumptions, such as requiring sufficiently many honest nodes compared with adversarial ones. These assumptions are difficult to enforce in open decentralized systems where…

Information Theory · Computer Science 2026-05-12 Hanzaleh Akbari Nodehi , Parsa Moradi , Mohammad Ali Maddah-Ali

We consider in this paper the problem of information reconciliation in the context of secret key agreement between two legitimate parties, Alice and Bob. Beginning the discussion with the secret key agreement model introduced by Ahlswede…

Information Theory · Computer Science 2011-06-07 David Elkouss , Jesus Martinez-Mateo , Vicente Martin

Watermarking generative content serves as a vital tool for authentication, ownership protection, and mitigation of potential misuse. Existing watermarking methods face the challenge of balancing robustness and concealment. They empirically…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Huayang Huang , Yu Wu , Qian Wang

Untrustworthy users can misuse image generators to synthesize high-quality deepfakes and engage in unethical activities. Watermarking deters misuse by marking generated content with a hidden message, enabling its detection using a secret…

Cryptography and Security · Computer Science 2024-01-23 Nils Lukas , Abdulrahman Diaa , Lucas Fenaux , Florian Kerschbaum

We formalize and analyze the trade-off between backdoor-based watermarks and adversarial defenses, framing it as an interactive protocol between a verifier and a prover. While previous works have primarily focused on this trade-off, our…

Machine Learning · Computer Science 2026-01-22 Grzegorz Głuch , Berkant Turan , Sai Ganesh Nagarajan , Sebastian Pokutta

We consider a simple streaming game between two players Alice and Bob, which we call the mirror game. In this game, Alice and Bob take turns saying numbers belonging to the set $\{1, 2, \dots,2N\}$. A player loses if they repeat a number…

Computational Complexity · Computer Science 2017-10-10 Sumegha Garg , Jon Schneider

An important feature of a dynamic game is its monitoring structure namely, what the players effectively see from the played actions. We consider games with arbitrary monitoring structures. One of the purposes of this paper is to know to…

Information Theory · Computer Science 2012-10-24 Maël Le Treust , Samson Lasaulce

We describe a simple scheme that allows an agent to learn about its environment in an unsupervised manner. Our scheme pits two versions of the same agent, Alice and Bob, against one another. Alice proposes a task for Bob to complete; and…

Machine Learning · Computer Science 2018-05-01 Sainbayar Sukhbaatar , Zeming Lin , Ilya Kostrikov , Gabriel Synnaeve , Arthur Szlam , Rob Fergus

We analyze, both analytically and numerically, the self-organization of a system of "selfish" adaptive agents playing an arbitrary iterated pairwise game (defined by a 2X2 payoff matrix). Examples of possible games to play are: the…

Physics and Society · Physics 2009-11-10 H. Fort , S. Viola

We study the following combinatorial game played by two players, Alice and Bob, which generalizes the Pizza game considered by Brown, Winkler and others. Given a connected graph G with nonnegative weights assigned to its vertices, the…

Discrete Mathematics · Computer Science 2013-08-07 Josef Cibulka , Jan Kynčl , Viola Mészáros , Rudolf Stolař , Pavel Valtr

We examine the tuning of cooperative behavior in repeated multi-agent games using an analytically tractable, continuous-time, nonlinear model of opinion dynamics. Each modeled agent updates its real-valued opinion about each available…

Physics and Society · Physics 2021-11-24 Shinkyu Park , Anastasia Bizyaeva , Mari Kawakatsu , Alessio Franci , Naomi Ehrich Leonard

Watermarking is one of the most important copyright protection tools for digital media. The most challenging type of watermarking is the imperceptible one, which embeds identifying information in the data while retaining the latter's…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Natan Semyonov , Rami Puzis , Asaf Shabtai , Gilad Katz

In this paper, we consider a common unicast beamforming network where Alice utilizes the communication to Carol as a cover and covertly transmits a message to Bob without being recognized by Willie. We investigate the beamformer design of…

Information Theory · Computer Science 2021-04-01 Shuai Ma , Yunqi Zhang , Hang Li , Songtao Lu , Naofal Al-Dhahir , Sha Zhang , Shiyin Li

We study the problem of multi-bit watermarking for large language models (LLMs). We introduce a block-autoregressive model inspired by multi-token prediction, in which the encoder has limited non-causal access to token distributions within…

Information Theory · Computer Science 2026-05-19 Sidong Guo , Tyler Kann , Teodora Baluta , Matthieu R. Bloch

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

Estimation of the Embedding capacity is an important problem specifically in reversible multi-pass watermarking and is required for analysis before any image can be watermarked. In this paper, we propose an efficient method for estimating…

Cryptography and Security · Computer Science 2012-02-08 Rishabh Iyer , Rushikesh Borse , Ronak Shah , Subhasis Chaudhuri