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We address the issue of binary classification in Banach spaces in presence of uncertainty. We show that a number of results from classical support vector machines theory can be appropriately generalised to their robust counterpart in Banach…

Machine Learning · Statistics 2022-02-18 Mohammed Sbihi , Nicolas Couellan

We study a game with \emph{strategic} vendors who own multiple items and a single buyer with a submodular valuation function. The goal of the vendors is to maximize their revenue via pricing of the items, given that the buyer will buy the…

Computer Science and Game Theory · Computer Science 2014-08-04 Omer Lev , Joel Oren , Craig Boutilier , Jeffery S. Rosenschein

We give exponential lower bounds on the Price of Stability (PoS) of weighted congestion games with polynomial cost functions. In particular, for any positive integer $d$ we construct rather simple games with cost functions of degree at most…

Computer Science and Game Theory · Computer Science 2019-08-27 George Christodoulou , Martin Gairing , Yiannis Giannakopoulos , Paul G. Spirakis

Nash equilibria are defined using uncorrelated behavioural or mixed joint probability distributions effectively assuming that players of bounded rationality must discard information to locate equilibria. We propose instead that rational…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kae Nemoto , Michael J Gagen

A key challenge in responding to public health crises such as COVID-19 is the difficulty of predicting the results of feedback interconnections between the disease and society. As a step towards understanding these interconnections, we pose…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Philip N. Brown , Brandon Collins , Colton Hill , Gia Barboza , Lisa Hines

This paper addresses the distributed Nash Equilibrium seeking problem for aggregative games, where legitimate players' decisions are affected by potential malicious players. To describe players' behavior, we introduce a novel heterogeneous…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Kai-Yuan Guo , Yan-Wu Wang , Xiao-Kang Liu , Zhi-Wei Liu

Many communication, sensor network, and networked control problems involve agents (decision makers) which have either misaligned objective functions or subjective probabilistic models. In the context of such setups, we consider binary…

Optimization and Control · Mathematics 2019-09-09 Serkan Sarıtaş , Sinan Gezici , Serdar Yüksel

We consider the problem of designing distribution rules to share "welfare" (cost or revenue) among individually strategic agents. There are many known distribution rules that guarantee the existence of a (pure) Nash equilibrium in this…

Computer Science and Game Theory · Computer Science 2014-02-18 Ragavendran Gopalakrishnan , Jason R. Marden , Adam Wierman

In cost sharing games, the existence and efficiency of pure Nash equilibria fundamentally depends on the method that is used to share the resources' costs. We consider a general class of resource allocation problems in which a set of…

Computer Science and Game Theory · Computer Science 2015-02-05 Max Klimm , Daniel Schmand

We study techniques to incentivize self-interested agents to form socially desirable solutions in scenarios where they benefit from mutual coordination. Towards this end, we consider coordination games where agents have different intrinsic…

Computer Science and Game Theory · Computer Science 2014-04-21 Elliot Anshelevich , Shreyas Sekar

We consider a game-theoretic setting in which selfish individuals compete over resources of varying quality. The motivating example is a group of animals that disperse over patches of food of different abundances. In such scenarios,…

Computer Science and Game Theory · Computer Science 2018-05-04 Simon Collet , Amos Korman

We study equilibrium concepts in non-cooperative games under uncertainty where both beliefs and mixed strategies are represented by non-additive measures (capacities). In contrast to the classical Nash framework based on additive…

Computer Science and Game Theory · Computer Science 2026-03-06 Taras Radul

Many real-world systems are composed of interdependent networks that rely on one another. Such networks are typically designed and operated by different entities, who aim at maximizing their own payoffs. There exists a game among these…

Physics and Society · Physics 2017-03-08 Yuhang Fan , Gongze Cao , Shibo He , Jiming Chen , Youxian Sun

We study the computational complexity of strategic behaviour in primary elections. Unlike direct voting systems, primaries introduce a multi-stage process in which voters first influence intra-party nominees before a general election…

Computer Science and Game Theory · Computer Science 2026-02-12 Colin Cleveland , Bart de Keijzer , Maria Polukarov

In this paper, we consider the problem of wireless power control in an interference channel where transmitters aim to maximize their own benefit. When the individual payoff or utility function is derived from the transmission efficiency and…

Computer Science and Game Theory · Computer Science 2020-12-04 Sara Berri , Vineeth Varma , Samson Lasaulce , Mohammed Said Radjef

A notion of pi-tolerant equilibrium is defined that takes into account that players have some tolerance regarding payoffs in a game. This solution concept generalizes Nash and refines epsilon-Nash equilibrium in a natural way. We show that…

Computer Science and Game Theory · Computer Science 2017-07-28 Arpita Ghosh , Joseph Y. Halpern

The model of congestion games is widely used to analyze games related to traffic and communication. A central property of these games is that they are potential games and hence posses a pure Nash equilibrium. In reality it is often the case…

Computer Science and Game Theory · Computer Science 2011-11-17 Sergey Kuniavsky , Rann Smorodinsky

How should cities invest to improve social welfare when individuals respond strategically to local conditions? We model this question using a game-theoretic version of Schelling's bounded neighbourhood model, where agents choose…

Computer Science and Game Theory · Computer Science 2026-01-14 Martin Gairing , Adrian Vetta , Zhanzhan Zhao

In this work, we provide a structural characterization of the possible Nash equilibria in the well-studied class of security games with additive utility. Our analysis yields a classification of possible equilibria into seven types and we…

Computer Science and Game Theory · Computer Science 2022-08-05 Joe Clanin , Sourabh Bhattacharya

We study a model of strategic coordination based on a class of games with incomplete information known as Global Games. Under the assumption of Poisson-distributed signals and a Gamma prior distribution on state of the system, we…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Marcos M. Vasconcelos , Behrouz Touri
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