Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-21T08:05:14.670Z Has data issue: false hasContentIssue false
  • English
  • Français

Diffusion and protection across a random graph

Published online by Cambridge University Press:  11 September 2015

ANDREA GALEOTTI  and
BRIAN W. ROGERS
ANDREA GALEOTTI
Affiliation:
Department of Economics, University of Essex, Wivenhoe Park, Colchester, Essex CO3SQ, UK (e-mail: agaleo@essex.ac.uk)
BRIAN W. ROGERS
Affiliation:
Department of Economics, Washington University in St. Louis, St. Louis, MO 63130, USA (e-mail: brogers@wustl.edu.)
Get access Rights & Permissions [Opens in a new window]

Abstract

We study the interplay between the diffusion of a harmful state in a network of contacts and the possibility of individual agents to undertake costly investment to protect themselves against infection. We characterize how equilibrium diffusion outcomes, such as the immunization rate, total prevalence and welfare, respond to changes in the architecture of the network, and show that these responses depend on the details of the diffusion process.

Type
Research Article
Information
Network Science , Volume 3 , Issue 3 , September 2015 , pp. 361 - 376
Copyright
Copyright © Cambridge University Press 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Acemoglu, D., Ozdaglar, A., & Alireza, T.-S. (2013). Systemic risk and stability in financial networks. Technical Report, National Bureau of Economic Research.CrossRefGoogle Scholar
Anand, K., Kirman, A., & Matteo, M. (2013). Epidemics of rules, rational negligence and market crashes. The European Journal of Finance, 19 (5), 438–447.Google Scholar
Anderson, R. M., & May, R. M. (1992). Infectious diseases of humans: dynamics and control, Vol. 26, Wiley Online Library.Google Scholar
Bailey, N. T. J. (1975). The mathematical theory of infectious diseases and its applications. 2nd edition. The mathematical theory of infectious diseases and its applications, (2nd ed.). p. 413. New York: Hanna Press.Google Scholar
Bauch, C. T., & Earn, D. J. D. (September 2004). Vaccination and the theory of games. Proceedings of the National Academy of Sciences of the United States of America, 101 (36), 13391–4.CrossRefGoogle ScholarPubMed
Boulier, B. L., Datta, T. S., & Goldfarb, R. S. (2007). Vaccination externalities. The BE Journal of Economic Analysis & Policy, 7 (1), 23.Google Scholar
Brito, D. L., Sheshinski, E., & Intriligator, M. D. (1991). Externalities and compulsary vaccinations. Journal of Public Economics, 45 (1), 69–90.CrossRefGoogle Scholar
Cabrales, A., Gottardi, P., & Vega-Redondo, F. (2014). Risk-sharing and contagion in networks. CESifo Working Paper Series No. 4715. Available at SSRN: http://ssrn.com/abstract=2425558.Google Scholar
Elliott, M., Golub, B., & Jackson, M. O. (2014). Financial networks and contagion. Available at SSRN 2175056.Google Scholar
Galeotti, A., Goyal, S., Jackson, M. O., Vega-Redondo, F., & Yariv, L. (2010). Network games. The Review of Economic Studies, 77 (1), 218–244.Google Scholar
Galeotti, A., & Rogers, B. W. (2013). Strategic immunization and group structure. American Economic Journal: Microeconomics, 2 (5), 1–32.Google Scholar
Geoffard, P.-Y., & Philipson, T. (1996). Rational epidemics and their public control. International Economic Review, 37 (3), 603–624.Google Scholar
Geoffard, P.-Y., & Philipson, T. (1997). Disease eradication: Private versus public vaccination. The American Economic Review, 87 (1), 222–230.Google Scholar
Goyal, S., & Vigier, A. (2015). Interaction, protection and epidemics. Journal of Public Economics, 125, 64–69.Google Scholar
Jackson, M. O., & Rogers, B. W. (2007). Relating network structure to diffusion properties through stochastic dominance. The BE Journal of Theoretical Economics, 7 (1), 6.Google Scholar
Jackson, M. O., & Yariv, L. (2006). Diffusion on social networks. Economie Publique, 16 (1), 69–82.Google Scholar
Jackson, M. O., & Yariv, L. (2011). Diffusion, strategic interaction, & social structure. In Handbook of Social Economics (pp. 1–50). Amsterdam, Netherlands: Elsevier.Google Scholar
Kremer, M. (1996). Integrating behavioral choice into epidemiological models of AIDS. The Quarterly Journal of Economics, 111 (2), 549.Google Scholar
López-Pintado, D. (March 2008). Diffusion in complex social networks. Games and Economic Behavior, 62 (2), 573–590.Google Scholar
Pastor-Satorras, R., & Vespignani, A. (2001). Epidemic spreading in scale-free networks. Physical Review Letters, 86 (14), 3200.Google Scholar
Toxvaerd, F. (2010a). Infection, acquired immunity and externalities in treatment. CEPR Discussion Paper No. DP8111. Available at SSRN: http://ssrn.com/abstract=1714883.Google Scholar
Toxvaerd, F. (2010b). Recurrent infection and externalities in prevention. CEPR Discussion Paper No. DP8112. Available at SSRN: http://ssrn.com/abstract=1714884.Google Scholar