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In this paper we consider strong Nash equilibria, in mixed strategies, for finite games. Any strong Nash equilibrium outcome is Pareto efficient for each coalition. First, we analyze the two--player setting. Our main result, in its simplest…

Optimization and Control · Mathematics 2015-03-02 Eleonora Braggion , Nicola Gatti , Roberto Lucchetti , Tuomas Sandholm

This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

Optimization and Control · Mathematics 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie

We consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player's objective is a function of the aggregate of all the players' decisions. Every player maintains an…

Optimization and Control · Mathematics 2016-06-10 Jayash Koshal , Angelia Nedić , Uday V. Shanbhag

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

We propose a generic strategic network resource sharing game between a set of players representing operators. The players negotiate which sets of players share given resources, serving users with varying sensitivity to interference. We…

Computer Science and Game Theory · Computer Science 2016-05-31 Sofonias Hailu , Ragnar Freij-Hollanti , Alexis A. Dowhuszko , Olav Tirkkonen

Resource allocation in adversarial environments is a fundamental challenge across various domains, from corporate competition to military strategy. This article examines the impact of compromising an opponent's strategic intent in the…

Computer Science and Game Theory · Computer Science 2024-10-03 Gilberto Diaz-Garcia , Keith Paarporn , Jason R. Marden

We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

Computer Science and Game Theory · Computer Science 2008-09-02 Joseph Y. Halpern , Rafael Pass

Within the framework of Game Theory, contests study decision-making in those situations or conflicts when rewards depend on the relative rank between contenders rather than their absolute performance. By relying on the formalism of Tullock…

Physics and Society · Physics 2023-04-03 A. de Miguel-Arribas , J. Morón-Vidal , L. M. Floría , C. Gracia-Lázaro , L. Hernández , Y. Moreno

We consider a game-theoretic setting to model the interplay between attacker and defender in the context of information flow, and to reason about their optimal strategies. In contrast with standard game theory, in our games the utility of a…

Cryptography and Security · Computer Science 2022-05-03 Mário S. Alvim , Konstantinos Chatzikokolakis , Yusuke Kawamoto , Catuscia Palamidessi

In this work, we study the distributed Nash equilibrium seeking problem for monotone generalized noncooperative games with set constraints and shared affine inequality constraints. A distributed regularized penalty method is proposed. The…

Optimization and Control · Mathematics 2021-09-28 Chao Sun , Guoqiang Hu

This paper considers information sharing in a multi-player repeated game. Every round, each player observes a subset of components of a random vector and then takes a control action. The utility earned by each player depends on the full…

Optimization and Control · Mathematics 2014-12-31 Michael J. Neely

Strategic decisions are often made over multiple periods of time, wherein decisions made earlier impact a competitor's success in later stages. In this paper, we study these dynamics in General Lotto games, a class of models describing the…

Computer Science and Game Theory · Computer Science 2025-05-06 Keith Paarporn , Rahul Chandan , Mahnoosh Alizadeh , Jason R. Marden

Multi-leader multi-follower games are a class of hierarchical games in which a collection of leaders compete in a Nash game constrained by the equilibrium conditions of another Nash game amongst the followers. The resulting equilibrium…

Optimization and Control · Mathematics 2014-08-27 Ankur A. Kulkarni , Uday V. Shanbhag

Advanced Persistent Threat (APT) attackers apply multiple sophisticated methods to continuously and stealthily steal information from the targeted cloud storage systems and can even induce the storage system to apply a specific defense…

Cryptography and Security · Computer Science 2018-01-22 Minghui Min , Liang Xiao , Caixia Xie , Mohammad Hajimirsadeghi , Narayan B. Mandayam

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

Computer Science and Game Theory · Computer Science 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

Large language model (LLM) agents are increasingly deployed in competitive multi-agent settings, raising fundamental questions about whether they converge to equilibria and how their strategic behavior can be characterized. In this paper,…

Multiagent Systems · Computer Science 2026-04-14 Jiayi Yao , Cong Chen , Baosen Zhang

Congestion games offer a primary model in the study of pure Nash equilibria in non-cooperative games, and a number of generalized models have been proposed in the literature. One line of generalization includes weighted congestion games, in…

Computer Science and Game Theory · Computer Science 2024-01-09 Kenjiro Takazawa

In competitive resource allocation environments, agents often choose to form alliances; however, for some agents, doing so may not always be beneficial. Is there a method of forming alliances that always reward each of their members? We…

Computer Science and Game Theory · Computer Science 2024-10-17 Vade Shah , Jason R. Marden

Search and recommendation ecosystems exhibit competition among content creators. This competition has been tackled in a variety of game-theoretic frameworks. Content creators generate documents with the aim of being recommended by a content…

Computer Science and Game Theory · Computer Science 2024-12-23 Haya Nachimovsky , Moshe Tennenholtz

We study a game-theoretic variant of the maximum circulation problem. In a flow allocation game, we are given a directed flow network. Each node is a rational agent and can strategically allocate any incoming flow to the outgoing edges.…

Computer Science and Game Theory · Computer Science 2023-12-22 Nils Bertschinger , Martin Hoefer , Daniel Schmand
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