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Network security and contagion

Author

Listed:
  • Acemoglu, Daron
  • Malekian, Azarakhsh
  • Ozdaglar, Asu

Abstract

We develop a theoretical model of security investments in a network of interconnected agents. Network connections introduce the possibility of cascading failures due to an exogenous or endogenous attack depending on the profile of security investments by the agents. We provide a tractable decomposition of individual payoffs into an own effect and an externality, which also enables us to characterize individual investment incentives recursively (by considering the network with one agent removed at a time). Using this decomposition, we provide characterization of equilibrium and socially optimal investment levels as a function of the structure of the network, highlighting the role of a new set of network centrality measures in shaping the levels of equilibrium and optimal investments. When the attack location is endogenized (by assuming that the attacker chooses a probability distribution over the location of the attack in order to maximize damage), similar forces still operate, but now because greater investment by an agent shifts the attack to other parts of the network, the equilibrium may involve too much investment relative to the social optimum.

Suggested Citation

  • Acemoglu, Daron & Malekian, Azarakhsh & Ozdaglar, Asu, 2016. "Network security and contagion," Journal of Economic Theory, Elsevier, vol. 166(C), pages 536-585.
    • Handle: RePEc:eee:jetheo:v:166:y:2016:i:c:p:536-585
    DOI: 10.1016/j.jet.2016.09.009
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    1. Britta Hoyer & Kris De Jaegher, 2016. "Strategic Network Disruption and Defense," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(5), pages 802-830, October.
    2. Sanjeev Goyal & Adrien Vigier, 2014. "Attack, Defence, and Contagion in Networks," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1518-1542.
    3. Daron Acemoglu & Asuman Ozdaglar & Alireza Tahbaz-Salehi, 2015. "Systemic Risk and Stability in Financial Networks," American Economic Review, American Economic Association, vol. 105(2), pages 564-608, February.
    4. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    5. Bramoullé, Yann & Kranton, Rachel, 2007. "Risk-sharing networks," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 275-294.
    6. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    7. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406.
    8. Goldman Steven Marc & Lightwood James, 2002. "Cost Optimization in the SIS Model of Infectious Disease with Treatment," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 2(1), pages 1-24, April.
    9. Vicki Bier & Santiago Oliveros & Larry Samuelson, 2007. "Choosing What to Protect: Strategic Defensive Allocation against an Unknown Attacker," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(4), pages 563-587, August.
    10. Dan Kovenock & Brian Roberson, 2018. "The Optimal Defense Of Networks Of Targets," Economic Inquiry, Western Economic Association International, vol. 56(4), pages 2195-2211, October.
    11. Antoni Calvó-Armengol & Eleonora Patacchini & Yves Zenou, 2009. "Peer Effects and Social Networks in Education," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1239-1267.
    12. Larson, Nathan, 2011. "Network security," MPRA Paper 32822, University Library of Munich, Germany.
    13. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    14. Yann Bramoull? & Rachel Kranton & Martin D'Amours, 2014. "Strategic Interaction and Networks," American Economic Review, American Economic Association, vol. 104(3), pages 898-930, March.
    15. Andrea Galeotti & Brian W. Rogers, 2013. "Strategic Immunization and Group Structure," American Economic Journal: Microeconomics, American Economic Association, vol. 5(2), pages 1-32, May.
    16. Geoffard, Pierre-Yves & Philipson, Tomas, 1997. "Disease Eradication: Private versus Public Vaccination," American Economic Review, American Economic Association, vol. 87(1), pages 222-230, March.
    17. Mariagiovanna Baccara & Heski Bar-Isaac, 2008. "How to Organize Crime -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(4), pages 1039-1067.
    18. Benjamin Golub & Matthew O. Jackson, 2012. "How Homophily Affects the Speed of Learning and Best-Response Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1287-1338.
    19. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    20. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 218-244.
    21. Goyal, Sanjeev & Vigier, Adrien, 2015. "Interaction, protection and epidemics," Journal of Public Economics, Elsevier, vol. 125(C), pages 64-69.
    22. Heski Bar-Isaac & Mariagiovanna Baccara, 2006. "How to Organize Crime," Working Papers 06-07, New York University, Leonard N. Stern School of Business, Department of Economics.
    23. repec:oup:restud:v:81:y:2014:i:4:p:1518-1542. is not listed on IDEAS
    24. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096.
    25. de Meza, David & Gould, J R, 1992. "The Social Efficiency of Private Decisions to Enforce Property Rights," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 561-580, June.
    26. Brito, Dagobert L. & Sheshinski, Eytan & Intriligator, Michael D., 1991. "Externalities and compulsary vaccinations," Journal of Public Economics, Elsevier, vol. 45(1), pages 69-90, June.
    27. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
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    More about this item

    Keywords

    Cascades; Contagion; Network security; Security investments; Network centrality;
    All these keywords.

    JEL classification:

    • D6 - Microeconomics - - Welfare Economics
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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