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Related papers: Playing through a noisy channel (and knowing it)

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We study a combinatorial game derived from a problem in the German National Mathematics Competition. In this game, two players take turns removing numbers from a finite set of natural numbers, aiming to satisfy a certain divisibility…

Combinatorics · Mathematics 2025-08-04 Tim Rammenstein

This paper introduces the application of game theory to understand noisy real-time signalling and the resulting behavioural dynamics in microscopic populations such as bacteria and other cells. It presents a bridge between the fields of…

Cell Behavior · Quantitative Biology 2019-02-06 Adam Noel , Yuting Fang , Nan Yang , Dimitrios Makrakis , Andrew W. Eckford

We consider a wireless channel shared by multiple transmitter-receiver pairs. Their transmissions interfere with each other. Each transmitter-receiver pair aims to maximize its long-term average transmission rate subject to an average power…

Information Theory · Computer Science 2014-09-29 Krishna Chaitanya A , Utpal Mukherji , Vinod Sharma

The behavior of rational and selfish players (receivers) over a multiple-input multiple-output Gaussian broadcast channel is investigated using the framework of noncooperative game theory. In contrast to the game-theoretic model of the…

Information Theory · Computer Science 2012-03-16 Srinivas Yerramalli , Rahul Jain , Urbashi Mitra

This paper considers a game-theoretic formulation of the covert communications problem with finite blocklength, where the transmitter (Alice) can randomly vary her transmit power in different blocks, while the warden (Willie) can randomly…

Information Theory · Computer Science 2020-05-28 Alex S. Leong , Daniel E. Quevedo , Subhrakanti Dey

We study a communication game between an informed sender and an uninformed receiver with repeated interactions and voluntary transfers. Transfers motivate the receiver's decision-making and signal the sender's information. Although full…

Theoretical Economics · Economics 2020-12-11 Anton Kolotilin , Hongyi Li

We consider a wireless channel shared by multiple transmitter-receiver pairs. Their transmissions interfere with each other. Each transmitter-receiver pair aims to maximize its long-term average transmission rate subject to an average power…

Information Theory · Computer Science 2015-01-20 Krishna Chaitanya A , Utpal Muherji , Vinod Sharma

We consider two-player combinatorial games in which the graph of positions is random and perhaps infinite, focusing on directed Galton-Watson trees. As the offspring distribution is varied, a game can undergo a phase transition, in which…

Probability · Mathematics 2019-04-09 Alexander E. Holroyd , James B. Martin

We consider the problem of resolving contention in communication networks with selfish users. In a \textit{contention game} each of $n \geq 2$ identical players has a single information packet that she wants to transmit using one of $k \geq…

Computer Science and Game Theory · Computer Science 2020-03-24 George Christodoulou , Themistoklis Melissourgos , Paul G. Spirakis

In this paper a new multiple access algorithm for cognitive radio networks based on game theory is presented. We address the problem of a multiple access system where the number of users and their types are unknown. In order to do this, the…

Computer Science and Game Theory · Computer Science 2013-05-24 Oscar Filio Rodriguez , Serguei Primak , Valeri Kontorovich , Abdallah Shami

Communication is compositional if complex signals can be represented as a combination of simpler subparts. In this paper, we theoretically show that inductive biases on both the training framework and the data are needed to develop a…

Machine Learning · Computer Science 2024-04-04 Łukasz Kuciński , Tomasz Korbak , Paweł Kołodziej , Piotr Miłoś

We consider the general model of zero-sum repeated games (or stochastic games with signals), and assume that one of the players is fully informed and controls the transitions of the state variable. We prove the existence of the uniform…

Optimization and Control · Mathematics 2009-04-20 Jérôme Renault

There is a common belief that humans and many animals follow transitive inference (choosing A over C on the basis of knowing that A is better than B and B is better than C). Transitivity seems to be the essence of rational choice. We…

Computer Science and Game Theory · Computer Science 2014-09-23 Marcin Makowski , Edward W. Piotrowski

The timing channel is a logical communication channel in which information is encoded in the timing between events. Recently, the use of the timing channel has been proposed as a countermeasure to reactive jamming attacks performed by an…

Computer Science and Game Theory · Computer Science 2015-01-06 Salvatore D'Oro , Laura Galluccio , Giacomo Morabito , Sergio Palazzo , Lin Chen , Fabio Martignon

The multiple-input single-output interference channel is considered. Each transmitter is assumed to know the channels between itself and all receivers perfectly and the receivers are assumed to treat interference as additive noise. In this…

Information Theory · Computer Science 2015-06-18 Rami Mochaourab , Eduard Jorswieck

We consider a scenario where N users try to access a common base station. Associated with each user is its channel state and a finite queue which varies with time. Each user chooses his power and the admission control variable in a dynamic…

Systems and Control · Computer Science 2012-10-31 Prashant Narayanan , Vinod Sharma

Rodrigo de Miguel et al 2007 J. Phys. A: Math. Theor. 40 5241-5260: A noisy vector channel operating under a strict complexity constraint at the receiver is introduced. According to this constraint, detected bits, obtained by performing…

Information Theory · Computer Science 2009-11-11 Rodrigo de Miguel , Ori Shental , Ralf R. Muller , Ido Kanter

Positional games are a well-studied class of combinatorial game. In their usual form, two players take turns to play moves in a set (`the board'), and certain subsets are designated as `winning': the first person to occupy such a set wins…

Combinatorics · Mathematics 2016-07-12 J. Robert Johnson , Imre Leader , Mark Walters

We consider misinformation games, i.e., multi-agent interactions where the players are misinformed with regards to the game that they play, essentially having an \emph{incorrect} understanding of the game setting, without being aware of…

Computer Science and Game Theory · Computer Science 2023-07-06 Constantinos Varsos , Giorgos Flouris , Marina Bitsaki

Something is definitely wrong. If the game has a linear winning strategy, then it is tractable. What's going on? Well, we describe a two-person game which has a definite winner, that is, a player who can force a win in a finite number of…

Combinatorics · Mathematics 2016-09-07 Aviezri S. Fraenkel