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Instantaneous and Limiting Behavior of an n-Node Blockchain Under Cyber Attacks from a Single Hacker

In: Business Analytics and Decision Making in Practice

Author

Listed:
  • Xiufeng Xu

    (The University of Texas at Dallas)

  • Liang Hong

    (The University of Texas at Dallas)

Abstract

We investigate the instantaneous and limiting behavior of an n-node blockchain which is under continuous monitoring of the IT department of a company but faces non-stop cyber attacks from a single hacker. The blockchain is functional as far as no data stored on it has been changed, deleted, or locked. Once the IT department detects the attack from the hacker, it will immediately re-set the blockchain, rendering all previous efforts of the hacker in vain. The hacker will not stop until the blockchain is dysfunctional. For arbitrary distributions of the hacking times and detecting times, we derive the limiting functional probability, instantaneous functional probability, and mean functional time of the blockchain. We also show that all these quantities are increasing functions of the number of nodes, substantiating the intuition that the more nodes a blockchain has, the harder it is for a hacker to succeed in a cyber attack.

Suggested Citation

  • Xiufeng Xu & Liang Hong, 2024. "Instantaneous and Limiting Behavior of an n-Node Blockchain Under Cyber Attacks from a Single Hacker," Lecture Notes in Operations Research, in: Ali Emrouznejad & Panagiotis D. Zervopoulos & Ilhan Ozturk & Dima Jamali & John Rice (ed.), Business Analytics and Decision Making in Practice, chapter 0, pages 257-269, Springer.
    • Handle: RePEc:spr:lnopch:978-3-031-61589-4_21
    DOI: 10.1007/978-3-031-61589-4_21
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