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We investigate cascades in networks consisting of strategic agents with interdependent security. We assume that the strategic agents have choices between i) investing in protecting themselves, ii) purchasing insurance to transfer (some)…

Social and Information Networks · Computer Science 2015-02-27 Richard J. La

We consider a class of interdependent security games on networks where each node chooses a personal level of security investment. The attack probability experienced by a node is a function of her own investment and the investment by her…

Computer Science and Game Theory · Computer Science 2016-08-16 Ashish R. Hota , Shreyas Sundaram

We investigate the role of degree correlation among nodes on the stability of complex networks, by studying spectral properties of randomly weighted matrices constructed from directed Erd\"{o}s-R\'enyi and scale-free random graph models. We…

Statistical Mechanics · Physics 2007-05-23 Markus Brede , Sitabhra Sinha

Degree correlation is an important topological property common to many real-world networks. In this paper, the statistical measures for characterizing the degree correlation in networks are investigated analytically. We give an exact proof…

Physics and Society · Physics 2015-09-03 Ju Xiang , Ke Hu , Tao Hu , Yan Zhang , Jian-Ming Li

Malicious softwares or malwares for short have become a major security threat. While originating in criminal behavior, their impact are also influenced by the decisions of legitimate end users. Getting agents in the Internet, and in…

Computer Science and Game Theory · Computer Science 2016-11-15 Marc Lelarge

Mixing patterns in large self-organizing networks, such as the Internet, the World Wide Web, social and biological networks are often characterized by degree-degree dependencies between neighbouring nodes. In this paper we propose a new way…

Physics and Society · Physics 2015-06-04 Nelly Litvak , Remco van der Hofstad

Scale-free networks, in which the distribution of the degrees obeys a power-law, are ubiquitous in the study of complex systems. One basic network property that relates to the structure of the links found is the degree assortativity, which…

Physics and Society · Physics 2015-06-22 Oliver Williams , Charo I. Del Genio

We study cascading failures in a system comprising interdependent networks/systems, in which nodes rely on other nodes both in the same system and in other systems to perform their function. The (inter-)dependence among nodes is modeled…

Applications · Statistics 2018-02-13 Richard J. La

We consider a system consisting of multiple interdependent assets, and a set of defenders, each responsible for securing a subset of the assets against an attacker. The interdependencies between the assets are captured by an attack graph,…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Mustafa Abdallah , Parinaz Naghizadeh , Ashish R. Hota , Timothy Cason , Saurabh Bagchi , Shreyas Sundaram

Mixing patterns in large self-organizing networks, such as the Internet, the World Wide Web, social and biological networks are often characterized by degree-degree {dependencies} between neighbouring nodes. One of the problems with the…

Probability · Mathematics 2014-02-03 Nelly Litvak , Remco van der Hofstad

With increasing connectivity among comprising agents or (sub-)systems in large, complex systems, there is a growing interest in understanding interdependent security and dealing with inefficiency in security investments. Making use of a…

Social and Information Networks · Computer Science 2017-03-07 Richard J. La

In complex networks the degrees of adjacent nodes may often appear dependent -- which presents a modelling challenge. We present a working framework for studying networks with an arbitrary joint distribution for the degrees of adjacent…

Combinatorics · Mathematics 2020-08-25 Samuel , G. Balogh , Gergely Palla , Ivan Kryven

Degree correlation is a crucial measure in networks, significantly impacting network topology and dynamical behavior. The degree sequence of a network is a significant characteristic, and altering network degree correlation through…

Social and Information Networks · Computer Science 2024-04-12 Shuo Zou , Bo Zhou , Qi Xuan

In this paper we study the cooperative behavior of agents playing the Prisoner's Dilemma game in random scale-free networks. We show that the survival of cooperation is enhanced with respect to random homogeneous graphs but, on the other…

Physics and Society · Physics 2015-05-13 J. Poncela , J. Gomez-Gardenes , Y. Moreno , L. M. Floria

Degree correlation is an important characteristic of networks, which is usually quantified by the assortativity coefficient. However, concerns arise about changing the assortativity coefficient of a network when networks suffer from…

Social and Information Networks · Computer Science 2023-10-16 Shuo Zou , Bo Zhou , Qi Xuan

Asymmetry of in/out-degree distribution is a widespread phenomenon in real-world complex networks. This paper put forward the concept of Edge Asymmetry(EA) to quantify this feature. We designed an EA-based strategy to attack six kinds of…

Physics and Society · Physics 2018-02-06 Lei Wang , Xincheng Wang

Studying the impact of cooperation in strategic settings is one of the cornerstones of algorithmic game theory. Intuitively, allowing more cooperation yields equilibria that are more beneficial for the society of agents. However, for many…

Computer Science and Game Theory · Computer Science 2025-10-02 Hans Gawendowicz , Pascal Lenzner , Lukas Weyand

Many naturally occurring networks have a power-law degree distribution as well as a non-zero degree correlation. Despite this, most studies analyzing the robustness to random node-deletion and vulnerability to targeted node-deletion have…

Physics and Society · Physics 2017-02-17 Jeremy F. Alm , Keenan M. L. Mack

Measurement and management of credit concentration risk is critical for banks and relevant for micro-prudential requirements. While several methods exist for measuring credit concentration risk within institutions, the systemic effect of…

General Finance · Quantitative Finance 2019-07-09 Davide Cellai , Trevor Fitzpatrick

In recent work by Bramoull\'{e} and Kranton, a model for the provision of public goods on a network was presented and relations between equilibria of such a game and properties of the network were established. This model was further…

Computer Science and Game Theory · Computer Science 2019-06-19 Karan N. Chadha , Ankur A. Kulkarni
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