THE BIFURCATION PHENOMENA OF BINARY-STATE OPINION FORMATION ON NETWORKS

2012 ◽  
Vol 23 (05) ◽  
pp. 1250034 ◽  
Author(s):  
LONG GUO

The binary-state opinion model with the conservation law of public information is studied. The public information Inf i provided by node i is an exponential function of its degree with the tunable parameter β, which reflects the impact factor of the node i to his/her local neighbors. We realize our model on the top of complex networks with another tunable parameter α, which shows the degree heterogeneous as the form of the power-law degree distribution with the exponent γ = (1 + α)/α. We find that much more public information (β > 2) and less public information (β < -1) cannot let either of the two opinions win during the opinion formation. In the (α,β) space, the system undergoes the doubling bifurcation and then after a point becomes chaotic when the α decreases from 1 to 0. Maybe, our present work can provide some perspectives and tools to understand the conversation of opinion formation in our society.

Author(s):  
Robert F Engle ◽  
Martin Klint Hansen ◽  
Ahmet K Karagozoglu ◽  
Asger Lunde

Abstract Motivated by the recent availability of extensive electronic news databases and advent of new empirical methods, there has been renewed interest in investigating the impact of financial news on market outcomes for individual stocks. We develop the information processing hypothesis of return volatility to investigate the relation between firm-specific news and volatility. We propose a novel dynamic econometric specification and test it using time series regressions employing a machine learning model selection procedure. Our empirical results are based on a comprehensive dataset comprised of more than 3 million news items for a sample of 28 large U.S. companies. Our proposed econometric specification for firm-specific return volatility is a simple mixture model with two components: public information and private processing of public information. The public information processing component is defined by the contemporaneous relation with public information and volatility, while the private processing of public information component is specified as a general autoregressive process corresponding to the sequential price discovery mechanism of investors as additional information, previously not publicly available, is generated and incorporated into prices. Our results show that changes in return volatility are related to public information arrival and that including indicators of public information arrival explains on average 26% (9–65%) of changes in firm-specific return volatility.


2000 ◽  
Vol 86 (3) ◽  
pp. 134-141
Author(s):  
S J Tanser ◽  
D J Birt

AbstractThe aim of National Anaesthesia Day on 25 May 2000 was to inform the public about the role and training of anaesthetists. We carried out two surveys of patients attending Derriford Hospital, Plymouth to assess the local impact of National Anaesthesia Day and to assess the public’s expectation of the preoperative visit. The first survey was held one month prior to National Anaesthesia Day and was completed by 93 patients. The second survey was held immediately following National Anaesthesia Day and was completed by 70 patients. Thirty five percent of the patients surveyed were unaware that anaesthetists were medically qualified. This result was not altered by National Anaesthesia Day despite a local information campaign. Moreover, knowledge about our role and training was only marginally improved from 1978. The majority of patients expected to see their anaesthetist preoperatively for less than 10 minutes and would not be concerned if they had not been seen one hour before surgery. Style of clothing was unimportant; few preferred a white coat but name badges were desirable. We conclude that the level of ignorance about our profession has not changed since 1978 and the impact of National Anaesthesia Day was not significant. This may be as a result of the anaesthetist’s portrayal on television, which is known to be an important source of public information on other areas of medicine. If these statistics are to change in the next 22 years new methods of public education need to be found.


Author(s):  
Rafael Barberá González ◽  
Victoria Cuesta

This work analyzes the impact of the outbreak of hemorrhagic fever caused by the Ebola virus in Spain in the field of communication. The communication of such a crisis entails an interaction of information between individuals and institutions. Accuracy in the messages that are disseminated is key to the good resolution of the crisis. In this case of the Ebola crisis the impact in the Spanish media was very remarkable not only of the evolution of the crisis but also of the public information that were being made known by the authorities. The errors committed in this public communication, especially in the first institutional appearance, will be analyzed and possible solutions will be provided for future crises. In addition, the information behavior that was given in social networks by the authorities will be analyzed. To perform this work, bibliographical sources, data analysis and the media have been used.


2021 ◽  
Author(s):  
Yanhua Tian

Power law degree distribution, the small world property, and bad spectral expansion are three of the most important properties of On-line Social Networks (OSNs). We sampled YouTube and Wikipedia to investigate OSNs. Our simulation and computational results support the conclusion that OSNs follow a power law degree distribution, have the small world property, and bad spectral expansion. We calculated the diameters and spectral gaps of OSNs samples, and compared these to graphs generated by the GEO-P model. Our simulation results support the Logarithmic Dimension Hypothesis, which conjectures that the dimension of OSNs is m = [log N]. We introduced six GEO-P type models. We ran simulations of these GEO-P-type models, and compared the simulated graphs with real OSN data. Our simulation results suggest that, except for the GEO-P (GnpDeg) model, all our models generate graphs with power law degree distributions, the small world property, and bad spectral expansion.


2003 ◽  
Vol 80 (3) ◽  
pp. 528-547 ◽  
Author(s):  
Gyotae Ku ◽  
Lynda Lee Kaid ◽  
Michael Pfau

This study examined the impact of Web site campaigning on traditional news media agendas and on public opinion during the 2000presidential election campaign. Based on an intermedia agenda-setting approach, this study demonstrated the direction of influence among three media in terms of the flow of information. An agenda-setting impact of Web site campaigning on the public was also identified.


2006 ◽  
Vol 23 (3) ◽  
pp. 746-749 ◽  
Author(s):  
Liu Jian-Guo ◽  
Dang Yan-Zhong ◽  
Wang Zhong-Tuo

2007 ◽  
Vol 17 (07) ◽  
pp. 2447-2452 ◽  
Author(s):  
S. BOCCALETTI ◽  
D.-U. HWANG ◽  
V. LATORA

We introduce a fully nonhierarchical network growing mechanism, that furthermore does not impose explicit preferential attachment rules. The growing procedure produces a graph featuring power-law degree and clustering distributions, and manifesting slightly disassortative degree-degree correlations. The rigorous rate equations for the evolution of the degree distribution and for the conditional degree-degree probability are derived.


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