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Interactions between people are the basis on which the structure of our society arises as a complex system and, at the same time, are the starting point of any physical description of it. In the last few years, much theoretical research has…

Computer Science and Game Theory · Computer Science 2017-12-06 Mattia Mazzoli , Angel Sanchez

This paper studies an instance of zero-sum games in which one player (the leader) commits to its opponent (the follower) to choose its actions by sampling a given probability measure (strategy). The actions of the leader are observed by the…

Computer Science and Game Theory · Computer Science 2024-02-06 Emmanouil M Athanasakos , Samir M Perlaza

Networks commonly exhibit a community structure, whereby groups of vertices are more densely connected to each other than to other vertices. Often these communities overlap, such that each vertex may occur in more than one community.…

Physics and Society · Physics 2015-05-20 Steve Gregory

Game theory provides a general mathematical background to study the effect of pair interactions and evolutionary rules on the macroscopic behavior of multi-player games where players with a finite number of strategies may represent a wide…

Physics and Society · Physics 2016-04-20 Gyorgy Szabo , Istvan Borsos

We study a networked version of the minority game in which agents can choose to follow the choices made by a neighbouring agent in a social network. We show that for a wide variety of networks a leadership structure always emerges, with…

Physics and Society · Physics 2012-02-22 T. Clemson , T. S. Evans

We propose a general definition of perfect equilibrium which is applicable to a wide class of games. A key feature is the concept of completely mixed nets of strategies, based on a more detailed notion of carrier of a strategy. Under…

Theoretical Economics · Economics 2025-11-21 János Flesch , Christopher Kops , Dries Vermeulen , Anna Zseleva

We put forward a new model of congestion games where agents have uncertainty over the routes used by other agents. We take a non-probabilistic approach, assuming that each agent knows that the number of agents using an edge is within a…

Computer Science and Game Theory · Computer Science 2017-03-28 Reshef Meir , David Parkes

In this note we discuss a theory of combinatorial games that involve transmitting the moves through a noisy channel that can introduce errors during the transmission. Players are aware of this interference and incorporate this variable into…

Combinatorics · Mathematics 2020-12-15 Nicolas Capitelli , Melina Privitelli

Network games provide a framework to study strategic decision making processes that are governed by structured interdependencies among agents. However, existing models do not account for environments in which agents simultaneously interact…

Computer Science and Game Theory · Computer Science 2025-01-15 Raman Ebrahimi , Parinaz Naghizadeh

In this paper, we consider the competitive diffusion game, and study the existence of its pure-strategy Nash equilibrium when defined over general undirected networks. We first determine the set of pure-strategy Nash equilibria for two…

Computer Science and Game Theory · Computer Science 2015-06-09 Seyed Rasoul Etesami , Tamer Basar

The strategic selection of resources by selfish agents has long been a key area of research, with Resource Selection Games and Congestion Games serving as prominent examples. In these traditional frameworks, agents choose from a set of…

Computer Science and Game Theory · Computer Science 2025-05-13 Henri Zeiler

Under certain assumptions in terms of information and models, equilibria correspond to possible stable outcomes in conflicting or cooperative scenarios where rational entities interact. For wireless engineers, it is of paramount importance…

Computer Science and Game Theory · Computer Science 2015-05-13 S. Lasaulce , M. Debbah , E. Altman

We examine settings in which agents choose behaviors and care about their neighbors' behaviors, but have incomplete information about the network in which they are embedded. We develop a model in which agents use local knowledge of their…

Theoretical Economics · Economics 2024-12-04 Promit K. Chaudhuri , Matthew O. Jackson , Sudipta Sarangi , Hector Tzavellas

Whilst network coordination games and network anti-coordination games have received a considerable amount of attention in the literature, network games with coexisting coordinating and anti-coordinating players are known to exhibit more…

Computer Science and Game Theory · Computer Science 2021-10-26 Laura Arditti , Giacomo Como , Fabio Fagnani , Martina Vanelli

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

Computer Science and Game Theory · Computer Science 2013-04-09 Sunil Simon , Krzysztof R. Apt

The influence of a fixed number of agents with the same fixed behavior on the dynamics of the minority game is studied. Alternatively, the system studied can be considered the minority game with a change in the comfort threshold away from…

Statistical Mechanics · Physics 2009-11-10 M. A. R. de Cara , F. Guinea

The common sense suggests that networks are not random mazes of purposeless connections, but that these connections are organised so that networks can perform their functions well. One function common to many networks is targeted transport…

Physics and Society · Physics 2015-07-24 András Gulyás , József Bíró , Attila Kőrösi , Gábor Rétvári , Dmitri Krioukov

Conventional noncooperative game theory hypothesizes that the joint strategy of a set of players in a game must satisfy an "equilibrium concept". All other joint strategies are considered impossible; the only issue is what equilibrium…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David H. Wolpert

Risk specialists are trying to understand risk better and use complex models for risk assessment, while many risks are not yet well understood. The lack of empirical data and complex causal and outcome relationships make it difficult to…

Artificial Intelligence · Computer Science 2020-09-22 Hengameh Fakhravar

A matching game is a cooperative profit game defined on an edge-weighted graph, where the players are the vertices and the profit of a coalition is the maximum weight of matchings in the subgraph induced by the coalition. A population…

Computer Science and Game Theory · Computer Science 2021-05-04 Han Xiao , Qizhi Fang
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