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We propose a new class of game-theoretic models for network formation in which strategies are not directly related to edge choices, but instead correspond more generally to the exertion of social effort. The observed social network is thus…

Computer Science and Game Theory · Computer Science 2010-09-23 Christian Borgs , Jennifer Chayes , Jian Ding , Brendan Lucier

This paper develops strategic foundations for an important statistical model of random networks with heterogeneous expected degrees. Based on this, we show how social networking services that subtly alter the costs and indirect benefits of…

Applications · Statistics 2010-04-09 Benjamin Golub , Yair Livne

We introduce a simple model of static networks, where nodes are located on a ring structure, and two accompanying dynamic rules of repeated averaging on periodic node states. We assume nodes can interact with neighbors, and will add…

Physics and Society · Physics 2012-03-16 Suhan Ree

Most networks are not static objects, but instead they change over time. This observation has sparked rigorous research on temporal graphs within the last years. In temporal graphs, we have a fixed set of nodes and the connections between…

Computer Science and Game Theory · Computer Science 2023-05-23 Davide Bilò , Sarel Cohen , Tobias Friedrich , Hans Gawendowicz , Nicolas Klodt , Pascal Lenzner , George Skretas

We propose a simple model that describes the dynamics of efficiencies of competing agents. Agents communicate leading to increase of efficiencies of underachievers, and an efficiency of each agent can increase or decrease irrespectively of…

Statistical Mechanics · Physics 2009-10-31 S. N. Majumdar , P. L. Krapivsky

Dynamic networks are graphs in which edges are available only at specific time instants, modeling connections that change over time. The dynamic network creation game studies this setting as a strategic interaction where each vertex…

Data Structures and Algorithms · Computer Science 2026-03-17 Binh-Minh Bui-Xuan , Nhat-Minh Nguyen , Sébastien Tixeuil , Yukiko Yamauchi

The structure and dynamic of social network are largely determined by the heterogeneous interaction activity and social capital allocation of individuals. These features interplay in a non-trivial way in the formation of network and…

We study a generic family of nonlinear dynamics on undirected networks generalising linear consensus. We find a compact expression for its equilibrium points in terms of the topology of the network and classify their stability using the…

Dynamical Systems · Mathematics 2021-12-07 Marc Homs-Dones , Karel Devriendt , Renaud Lambiotte

This paper presents a social learning model where the network structure is endogenously determined by signal precision and dimension choices. Agents not only choose the precision of their signals and what dimension of the state to learn…

Theoretical Economics · Economics 2025-12-02 Nikhil Kumar

In this paper we address how complex social communities emerge from local decisions by individuals with limited attention and knowledge. This problem is critical; if we understand community formation mechanisms, it may be possible to…

Social and Information Networks · Computer Science 2023-12-25 Naina Balepur , Andy Lee , Hari Sundaram

It is well understood that the structure of a social network is critical to whether or not agents can aggregate information correctly. In this paper, we study social networks that support information aggregation when rational agents act…

Theoretical Economics · Economics 2020-11-11 Itai Arieli , Fedor Sandomirskiy , Rann Smorodinsky

We study a discrete-time consensus model in which agents iteratively update their states through interactions on a dynamic social network. At each step, a single agent is selected asynchronously and averages the values of its current…

Systems and Control · Computer Science 2025-12-29 Hsin-Lun Li

We consider a scenario in which leaders are required to recruit teams of followers. Each leader cannot recruit all followers, but interaction is constrained according to a bipartite network. The objective for each leader is to reach a state…

Multiagent Systems · Computer Science 2012-12-11 Lorenzo Coviello , Massimo Franceschetti

Networks such as organizational network of a global company play an important role in a variety of knowledge management and information diffusion tasks. The nodes in these networks correspond to individuals who are self-interested. The…

Computer Science and Game Theory · Computer Science 2014-10-10 Swapnil Dhamal , Y. Narahari

In a recent article [1] we surveyed advances related to adaptation, learning, and optimization over synchronous networks. Various distributed strategies were discussed that enable a collection of networked agents to interact locally in…

Optimization and Control · Mathematics 2017-12-13 Ali H. Sayed , Xiaochuan Zhao

We study a model of learning on social networks in dynamic environments, describing a group of agents who are each trying to estimate an underlying state that varies over time, given access to weak signals and the estimates of their social…

Social and Information Networks · Computer Science 2013-07-19 Rafael M. Frongillo , Grant Schoenebeck , Omer Tamuz

Network Creation Games(NCGs) model the creation of decentralized communication networks like the Internet. In such games strategic agents corresponding to network nodes selfishly decide with whom to connect to optimize some objective…

Computer Science and Game Theory · Computer Science 2020-06-29 Hagen Echzell , Tobias Friedrich , Pascal Lenzner , Anna Melnichenko

Bolletta (2021, Math. Soc. Sci. 114:1-10) studies a model in which a network is strategically formed and then agents play a linear best-response investment game in it. The model is motivated by an application in which people choose both…

Theoretical Economics · Economics 2023-02-24 Benjamin Golub , Yu-Chi Hsieh , Evan Sadler

Network creation games are well-established for investigating the decentralized formation of communication networks, like the Internet or social networks. In these games, selfish agents that correspond to network nodes strategically create…

Computer Science and Game Theory · Computer Science 2025-02-11 Merlin de la Haye , Pascal Lenzner , Daniel Schmand , Nicole Schröder

Understanding real-world networks has been a core research endeavor throughout the last two decades. Network Creation Games are a promising approach for this from a game-theoretic perspective. In these games, selfish agents corresponding to…

Computer Science and Game Theory · Computer Science 2020-12-14 Davide Bilò , Tobias Friedrich , Pascal Lenzner , Stefanie Lowski , Anna Melnichenko