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Abstract

Consider an election with two competing candidates and a set of voters whose opinions change over time. We study the best strategies that can be used by each candidate to influence voters. We also evaluate the knowledge advantage when one of the candidates knows in advance the adversary’s strategy. We prove that an economy of up to 50% of the budget can be saved in such a scenario.

Keywords

Opinion dynamics Reputation systems Trust management Social networks Random graphs Mixed integer programming 

References

  1. 1.
    Hendrikx, F., Bubendorfer, K., Chard, R.: Reputation systems: a survey and taxonomy. J. Parallel Distrib. Comput. 75, 184–197 (2015)CrossRefGoogle Scholar
  2. 2.
    Block Chain Principle. http://blockchain.info
  3. 3.
    Altman, E., Kumar, P., Venkatramanan, S., Kumar, A.: Competition over timeline in social networks. In: 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM), pp. 1352–1357. IEEE (2013)Google Scholar
  4. 4.
    Neglia, G., Ye, X., Gabielkov, M., Legout, A.: How to network in online social networks. In: 2014 IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS), pp. 819–824. IEEE (2014)Google Scholar
  5. 5.
    Borodin, A., Filmus, Y., Oren, J.: Threshold models for competitive influence in social networks. In: Saberi, A. (ed.) WINE 2010. LNCS, vol. 6484, pp. 539–550. Springer, Heidelberg (2010). doi: 10.1007/978-3-642-17572-5_48 CrossRefGoogle Scholar
  6. 6.
    Chen, L., Leneutre, J.: Fight jamming with jamming-a game theoretic analysis of jamming attack in wireless networks and defense strategy. Comput. Netw. 55(9), 2259–2270 (2011)CrossRefGoogle Scholar
  7. 7.
  8. 8.
    Kamvar, S.D., Schlosser, M.T., Garcia-Molina, H.: The eigentrust algorithm for reputation management in p2p networks. In: Proceedings of the 12th International Conference on World Wide Web, pp. 640–651. ACM (2003)Google Scholar
  9. 9.
    Bradai, A., Ben-Ameur, W., Afifi, H.: Byzantine resistant reputation-based trust management. In: 2013 9th International Conference Conference on Collaborative Computing: Networking, Applications and Worksharing (Collaboratecom), pp. 269–278. IEEE (2013)Google Scholar
  10. 10.
  11. 11.
  12. 12.
    Chen, K., Liu, G., Shen, H., Qi, F.: Sociallink: utilizing social network and transaction links for effective trust management in P2P file sharing systems. In: 2015 IEEE International Conference on Peer-to-Peer Computing (P2P), pp. 1–10. IEEE (2015)Google Scholar
  13. 13.
    DeGroot, M.H.: Reaching a consensus. J. Am. Stat. Assoc. 69(345), 118–121 (1974)CrossRefzbMATHGoogle Scholar
  14. 14.
    Krause, U.: A discrete nonlinear and non-autonomous model of consensus formation. In: Communications in Difference Equations, pp. 227–236 (2000)Google Scholar
  15. 15.
    Acemoglu, D., Ozdaglar, A.: Opinion dynamics and learning in social networks. Dyn. Games Appl. 1(1), 3–49 (2011)MathSciNetCrossRefzbMATHGoogle Scholar
  16. 16.
    Ben-Ameur, W., Bianchi, P., Jakubowicz, J.: Robust distributed consensus using total variation. IEEE Trans. Autom. Control 61(6), 1550–1564 (2016)MathSciNetCrossRefzbMATHGoogle Scholar
  17. 17.
    Ben-Ameur, W., Bianchi, P., Jakubowicz, J.: Robust average consensus using total variation gossip algorithm. In: 2012 6th International Conference on Performance Evaluation Methodologies and Tools (VALUETOOLS), pp. 99–106. IEEE (2012)Google Scholar
  18. 18.
    Erdos, P., Renyi, A.: On random graphs I. Publ. Math. Debrecen 6, 290–297 (1959)MathSciNetzbMATHGoogle Scholar
  19. 19.
    Penrose, M.: Random Geometric Graphs (No. 5). Oxford University Press (2003)Google Scholar
  20. 20.
    Barabási, A.L., Albert, R.: Emergence of scaling in random networks. Science 286(5439), 509–512 (1999)MathSciNetCrossRefzbMATHGoogle Scholar
  21. 21.
    Gurobi optimizer reference manual. http://www.gurobi.com

Copyright information

© ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering 2017

Authors and Affiliations

  • Abdallah Sobehy
    • 1
    Email author
  • Walid Ben-Ameur
    • 1
  • Hossam Afifi
    • 1
  • Amira Bradai
    • 1
  1. 1.Samovar, CNRS, Télécom SudParisUniversity Paris-SaclayÉvryFrance

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