Relating Network Structure to Diffusion Properties through Stochastic Dominance

Jackson, Matthew O.; Rogers, Brian W.

doi:10.2202/1935-1704.1341

Cited by 102 publications

(120 citation statements)

References 6 publications

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“…Finally, our paper also connects with the literature on social in ‡uence, social learning and contagion (see, e.g., Jackson and Rogers (2007b), Jackson and Yariv (2007), Lopez-Pintado (2008), Young (2009). The di¤erent approaches used in these studies to analyzing di¤usion generally assume a connectivity distribution of the population, and/or a payo¤ function whose arguments include an individual's and her neighbors' choice of a certain behavior, and often rely on mean-…eld approximation theory to identify equilibria.…”

Section: Some Applicationssupporting

confidence: 63%

Volume of trade and dynamic network formation in two-sided economies

Pongou

Serrano

2016

Journal of Mathematical Economics

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Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. costly. This cost-bene…t trade-o¤ results in each agent having a single-peaked utility over the number of partners-the volume of trade-, the peak being greater for men than for women. We propose a stochastic matching process in which self-interested agents form and sever links over time. Links can be added or deleted, sometimes simultaneously by a single agent. While the unperturbed process yields each pairwise stable network as an absorbing state, stochastic stability in two perturbed processes provides a signi…cant re…nement, leading respectively to egalitarian and anti-egalitarian pairwise stable networks. This has implications for the concentration on each side of the market of a random information shock. The analysis captures stylized facts, related to market fragmentation, concentration and contagion asymmetry, in several two-sided economies. Terms of use: Documents in EconStor mayJEL classi…cation numbers: A14, C7, I12, J00

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Section: Some Applicationssupporting

confidence: 63%

Volume of trade and dynamic network formation in two-sided economies

Pongou

Serrano

2016

Journal of Mathematical Economics

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“…In contrast, most previous agent-based studies computed the aggregate diffusion dynamics only numerically. The studies that did calculate the aggregate dynamics analytically either employed some type of a mean-field approximation, or obtained analytical results for steady-state solutions, such as the fraction of the population that will become infected by an epidemic at equilibria (López-Pintado 2008, Jackson and Rogers 2007, Jackson 2006, Vega-Redondo 2006, Pastor-Satorrás and Vespignani 2001. Note that in all the agent-based models considered in this study, once an individual becomes an adopter, he remains so at all later times.…”

Section: Introductionmentioning

confidence: 99%

Aggregate Diffusion Dynamics in Agent-Based Models with a Spatial Structure

Fibich

Gibori

2010

Operations Research

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We explicitly calculate the aggregate diffusion dynamics in one-dimensional agent-based models of adoption of new products, without using the mean-field approximation. We then introduce a clusters-dynamics approach, and use it to derive an analytic approximation of the aggregate diffusion dynamics in multidimensional agent-based models. The clusters-dynamics approximation shows that the aggregate diffusion dynamics does not depend on the average distance between individuals, but rather on the expansion rate of clusters of adopters. Therefore, the grid dimension has a large effect on the aggregate adoption dynamics, but a small-world structure and heterogeneity among individuals have only a minor effect. Our results suggest that the one-dimensional model and the Bass model provide a lower bound and an upper bound, respectively, for the aggregate diffusion dynamics in agent-based models with "any" spatial structure.

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“…We generate two di¤erent random networks in terms of their connectivity distributions: 7 (i) a scale-free network with connectivity distribution P (k) / k 2:5 for k 3 and P SF (k) = 0 otherwise (where / means, equal up to a multiplicative constant) (ii) an exponential network P (k) / e k 6 for k 3 and P E (k) = 0 otherwise. 8 Each of these two networks have a total of 1000 nodes and an average connectivity of approximately 9, however, scale-free networks have signi…cantly larger variance than exponential networks. The in- 7 The main reason why the dynamics on random networks might reproduce the mean…eld approximations is that in a random network the characteristics of any given node is una¤ected by structural correlations.…”

Section: Simulationsmentioning

confidence: 99%

The Spread of Free-Riding Behavior in a Social Network

López-Pintado

2008

Eastern Econ J

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We study a model where agents, located in a social network, decide whether to exert e¤ort or not in experimenting with a new technology (or acquiring a new skill, innovating, etc.). We assume that agents have strong incentives to free ride on their neighbors'e¤ort decisions. In the static version of the model e¤orts are chosen simultaneously. In equilibrium, agents exerting e¤ort are never connected with each other and all other agents are connected with at least one agent exerting e¤ort. We propose a mean-…eld dynamics in which agents choose in each period the best response to the last period's decisions of their neighbors. We characterize the equilibrium of such a dynamics and show how the pattern of free riders in the network depends on properties of the connectivity distribution.JEL classi…cation: C45, C73, D00, D83, D85, H41.

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Relating Network Structure to Diffusion Properties through Stochastic Dominance

Cited by 102 publications

References 6 publications

Volume of trade and dynamic network formation in two-sided economies

Volume of trade and dynamic network formation in two-sided economies

Aggregate Diffusion Dynamics in Agent-Based Models with a Spatial Structure

The Spread of Free-Riding Behavior in a Social Network

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