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In this article we discuss network growth based on Prisoner's Dilemma(PD) where palyers on nodes in a network palay with its linked players. The players estimate total profits in the PD. When a new node is attached, the node make linkes to…

Physics and Society · Physics 2009-09-29 Norihito Toyota

We introduce and analyze greedy equilibria (GE) for the well-known model of selfish network creation by Fabrikant et al.[PODC'03]. GE are interesting for two reasons: (1) they model outcomes found by agents which prefer smooth adaptations…

Computer Science and Game Theory · Computer Science 2012-10-31 Pascal Lenzner

We study the dynamics of opinions in a setting where a leader has a payoff that depends on agents' beliefs and where agents derive psychological utility from their beliefs. Agents sample a signal that maximises their utility and then…

Theoretical Economics · Economics 2024-01-17 Houda Nait El Barj , Theophile Sautory

In this paper, I characterize the network formation process as a static game of incomplete information, where the latent payoff of forming a link between two individuals depends on the structure of the network, as well as private…

Econometrics · Economics 2024-04-22 Shaomin Wu

Using the minority game as a model for competition dynamics, we investigate the effects of inter-agent communications on the global evolution of the dynamics of a society characterized by competition for limited resources. The agents…

Statistical Mechanics · Physics 2009-11-10 M. Anghel , Zoltan Toroczkai , Kevin E. Bassler , G. Korniss

The power of networks manifests itself in a highly non-linear amplification of a number of effects, and their weakness - in propagation of cascading failures. The potential systemic risk effects can be either exacerbated or mitigated,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-26 Dmitry Zinoviev , Hamid Benbrahim , Greta Meszoely , Dan Stefanescu

We study the mean field approximation of a recent model of cascades on networks relevant to the investigation of systemic risk control in financial networks. In the model, the hypothesis of a trend reinforcement in the stochastic process…

Physics and Society · Physics 2007-11-13 Jan Lorenz , Stefano Battiston

Consider a coordination game played on a network, where agents prefer taking actions closer to those of their neighbors and to their own ideal points in action space. We explore how the welfare outcomes of a coordination game depend on…

Theoretical Economics · Economics 2021-03-01 Andrea Galeotti , Benjamin Golub , Sanjeev Goyal , Rithvik Rao

Consider a setting where $N$ players, partitioned into $K$ observable types, form a directed network. Agents' preferences over the form of the network consist of an arbitrary network benefit function (e.g., agents may have preferences over…

Econometrics · Economics 2022-05-24 Andrin Pelican , Bryan S. Graham

We model the formation of networks as the result of a game where by players act selfishly to get the portfolio of links they desire most. The integration of player strategies into the network formation model is appropriate for…

Optimization and Control · Mathematics 2012-01-27 Shaun Lichter , Christopher Griffin , Terry Friesz

The objective of this paper is to identify and analyze the response actions of a set of players embedded in sub-networks in the context of interaction and learning. We characterize strategic network formation as a static game of…

Theoretical Economics · Economics 2022-10-28 Alex Centeno

In this paper, we design a greedy routing on networks of mobile agents. In the greedy routing algorithm, every time step a packet in agent $i$ is delivered to the agent $j$ whose distance from the destination is shortest among searched…

Networking and Internet Architecture · Computer Science 2011-12-21 Han-Xin Yang , Wen-Xu Wang , Ying-Cheng Lai , Bing-Hong Wang

We study a sequential-learning model featuring a network of naive agents with Gaussian information structures. Agents apply a heuristic rule to aggregate predecessors' actions. They weigh these actions according the strengths of their…

Economics · Quantitative Finance 2020-05-05 Krishna Dasaratha , Kevin He

We study network formation with n players and link cost \alpha > 0. After the network is built, an adversary randomly deletes one link according to a certain probability distribution. Cost for player v incorporates the expected number of…

Computer Science and Game Theory · Computer Science 2012-02-23 Lasse Kliemann

In the swap game (SG) selfish players, each of which is associated to a vertex, form a graph by edge swaps, i.e., a player changes its strategy by simultaneously removing an adjacent edge and forming a new edge (Alon et al., 2013). The cost…

Artificial Intelligence · Computer Science 2019-11-13 Shotaro Yoshimura , Yukiko Yamauchi

Three models of growing random networks with fitness dependent growth rates are analysed using the rate equations for the distribution of their connectivities. In the first model (A), a network is built by connecting incoming nodes to nodes…

Statistical Mechanics · Physics 2009-11-07 G. Ergun , G. J. Rodgers

With the passage of time, the development of communication technology and transportation broke the isolation among people. Relationship tends to be complicated, pluralism, dynamism. In the network where interpersonal relationship and…

Social and Information Networks · Computer Science 2016-02-25 Dongwei Guo , Shasha Wang , Zhibo Wei , Siwen Wang , Yan Hong

We study epidemic spreading processes in large networks, when the spread is assisted by a small number of external agents: infection sources with bounded spreading power, but whose movement is unrestricted vis-\`a-vis the underlying network…

Social and Information Networks · Computer Science 2014-04-15 Siddhartha Banerjee , Aditya Gopalan , Abhik Kumar Das , Sanjay Shakkottai

We highlight intriguing features of complex networks that are grown by \emph{redirection}. In this mechanism, a target node is chosen uniformly at random from the pre-existing network nodes and the new node attaches either to this initial…

Physics and Society · Physics 2025-01-14 P. L. Krapivsky , S. Redner

The main problem we address in this paper is whether function determines form when a society of agents organizes itself for some purpose or whether the organizing method is more important than the functionality in determining the structure…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Tanya Araujo , R. Vilela Mendes