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Probabilistic Reliability and Privacy of Communication Using Multicast in General Neighbor Networks

Author

Listed:
  • Tristan Tomala

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

Abstract
This paper studies reliability and security of information transmission in networks. We consider the framework of Franklin and Wright (J. Cryptol. 13(1):9–30, 2000): multicast communication and byzantine adversary. Franklin and Wright studied particular neighbor graphs with neighbor-disjoint paths. The aim of the present work is to drop this assumption and to give necessary and sufficient conditions on the neighbor graph allowing reliable and secure information transmission.

Suggested Citation

  • Tristan Tomala, 2008. "Probabilistic Reliability and Privacy of Communication Using Multicast in General Neighbor Networks," Post-Print hal-00464542, HAL.
    • Handle: RePEc:hal:journl:hal-00464542
    DOI: 10.1007/s00145-007-9018-2
    as

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    Citations

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    Cited by:

    1. , & ,, 2012. "Mechanism design and communication networks," Theoretical Economics, Econometric Society, vol. 7(3), September.
    2. Marie Laclau & Ludovic Renou & Xavier Venel, 2020. "Robust communication on networks," Papers 2007.00457, arXiv.org, revised Oct 2020.
    3. Renault, Jérôme & Renou, Ludovic & Tomala, Tristan, 2014. "Secure message transmission on directed networks," Games and Economic Behavior, Elsevier, vol. 85(C), pages 1-18.
    4. Laclau, Marie & Renou, Ludovic & Venel, Xavier, 2024. "Communication on networks and strong reliability," Journal of Economic Theory, Elsevier, vol. 217(C).
    5. Tristan Tomala, 2011. "Fault Reporting in Partially Known Networks and Folk Theorems," Operations Research, INFORMS, vol. 59(3), pages 754-763, June.
    6. Laclau, M., 2013. "Repeated games with local monitoring and private communication," Economics Letters, Elsevier, vol. 120(2), pages 332-337.
    7. Marie Laclau & Ludovic Renou & Xavier Venel, 2024. "Communication on networks and strong reliability," Working Papers hal-03099678, HAL.

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