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We consider a multi-player non-zero-sum turn-based game (abbreviated as multi-player game) on a finite directed graph. A secure equilibrium (SE) is a strategy profile in which no player has the incentive to deviate from the strategy because…

Computer Science and Game Theory · Computer Science 2025-09-03 Hiroki Mizuno , Yoshiaki Takata , Hiroyuki Seki

Game-theoretic approaches and Nash equilibrium have been widely applied across various engineering domains. However, practical challenges such as disturbances, delays, and actuator limitations can hinder the precise execution of Nash…

Computer Science and Game Theory · Computer Science 2026-03-17 Mahdis Rabbani , Navid Mojahed , Shima Nazari

We introduce a stochastic learning process called the dampened gradient approximation process. While learning models have almost exclusively focused on finite games, in this paper we design a learning process for games with continuous…

Computer Science and Game Theory · Computer Science 2018-07-02 Sebastian Bervoets , Mario Bravo , Mathieu Faure

The increasing number of wireless devices operating in unlicensed spectrum motivates the development of intelligent adaptive approaches to spectrum access. We consider decentralized contention-based medium access for base stations (BSs)…

Information Theory · Computer Science 2021-10-15 Akash Doshi , Srinivas Yerramalli , Lorenzo Ferrari , Taesang Yoo , Jeffrey G. Andrews

In dynamic noncooperative games, each player makes conjectures about other players' reactions before choosing a strategy. However, resulting equilibria may be multiple and do not always lead to desirable outcomes. These issues are typically…

Computer Science and Game Theory · Computer Science 2025-11-24 Francesco Morri , Hélène Le Cadre , David Salas , Didier Aussel

This paper introduces a novel criterion, persuasiveness, to select equilibria in signaling games. In response to the Stiglitz critique, persuasiveness focuses on the comparison across equilibria. An equilibrium is more persuasive than an…

Theoretical Economics · Economics 2025-11-04 Haoyuan Zeng

We study a class of deterministic finite-horizon two-player nonzero-sum differential games where players are endowed with different kinds of controls. We assume that Player 1 uses piecewise-continuous controls, while Player 2 uses impulse…

Optimization and Control · Mathematics 2025-10-21 Utsav Sadana , Puduru Viswanadha Reddy , Georges Zaccour

We study discounted infinitely repeated games in which players agree on a cooperative mixed action profile but, at each step, observe only the realized pure actions. This form of imperfect monitoring breaks classical trigger strategies,…

Applications · Statistics 2026-03-09 Aymeric Capitaine , Antoine Scheid , Etienne Boursier , Alain Durmus , Michael I. Jordan

We study the problem of designing mechanisms for \emph{information acquisition} scenarios. This setting models strategic interactions between an uniformed \emph{receiver} and a set of informed \emph{senders}. In our model the senders…

Computer Science and Game Theory · Computer Science 2023-06-13 Federico Cacciamani , Matteo Castiglioni , Nicola Gatti

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

Computer Science and Game Theory · Computer Science 2026-05-20 Léonard Brice

Decentralized multiple access channels where each transmitter wants to selfishly maximize his transmission energy-efficiency are considered. Transmitters are assumed to choose freely their power control policy and interact (through…

Mathematical Physics · Physics 2010-07-29 Mael Le Treust , Samson Lasaulce

We study two-player security games which can be viewed as sequences of nonzero-sum matrix games played by an Attacker and a Defender. The evolution of the game is based on a stochastic fictitious play process. Players do not have access to…

Computer Science and Game Theory · Computer Science 2010-03-16 Kien C. Nguyen , Tansu Alpcan , Tamer Basar

It is well-known that for infinitely repeated games, there are computable strategies that have best responses, but no computable best responses. These results were originally proved for either specific games (e.g., Prisoner's dilemma), or…

Computer Science and Game Theory · Computer Science 2020-06-11 Jakub Dargaj , Jakob Grue Simonsen

In theory coordinated multi-point transmission (CoMP) promises vast gains in spectral efficiency. But industrial field trials show rather disappointing throughput gains, whereby the major limiting factor is proper sharing of channel state…

Information Theory · Computer Science 2016-11-18 Jan Schreck , Gerhard Wunder , Peter Jung

We lay out a model of games with imperfect information that features explicit communication actions, by which the entire observation history of a player is revealed to another player. Such full-information protocols are common in…

Logic in Computer Science · Computer Science 2024-02-14 Dietmar Berwanger , Laurent Doyen , Thomas Soullard

Generating payoff matrices of normal-form games at random, we calculate the frequency of games with a unique pure strategy Nash equilibrium in the ensemble of $n$-player, $m$-strategy games. These are perfectly predictable as they must…

Theoretical Economics · Economics 2020-11-03 Samuel C. Wiese , Torsten Heinrich

The empirical analysis of discrete complete-information games has relied on behavioral restrictions in the form of solution concepts, such as Nash equilibrium. Choosing the right solution concept is crucial not just for identification of…

Econometrics · Economics 2019-09-23 Nail Kashaev , Bruno Salcedo

The purpose of a consensus protocol is to keep a distributed network of nodes "in sync," even in the presence of an unpredictable communication network and adversarial behavior by some of the participating nodes. In the permissionless…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-25 Eric Budish , Andrew Lewis-Pye , Tim Roughgarden

This paper analyzes the fundamental limit of the strategic semantic communication problem in which a transmitter obtains a limited number of indirect observation of an intrinsic semantic information source and can then influence the…

Information Theory · Computer Science 2022-08-09 Yong Xiao , Xu Zhang , Yingyu Li , Guangming Shi , Tamer Basar

We consider a dynamic version of sender-receiver games, where the sequence of states follows an irreducible Markov chain observed by the sender. Under mild assumptions, we provide a simple characterization of the limit set of equilibrium…

Probability · Mathematics 2012-04-03 Jerome Renault , Eilon Solan , Nicolas Vieille
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