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A Note on Connectivity and Stability in Dynamic Network Formation

Author

Listed:
  • Tackseung Jun

    (Department of Economics, Kyung Hee University, 1 Hoegidong, Dongdaenumku, Seoul 130-701, Korea)

  • Jeong-Yoo Kim

    (Department of Economics, Kyung Hee University, 1 Hoegidong, Dongdaenumku, Seoul 130-701, Korea)

Abstract

We consider the dynamic network formation problem under the requirement that the whole network be connected and remain connected after q nodes are destroyed. We propose the concept of dynamic C q -stability and characterize dynamic C q -stable networks for any q ≥ 0 . Comparison with the outcome in the static model is also discussed.

Suggested Citation

  • Tackseung Jun & Jeong-Yoo Kim, 2020. "A Note on Connectivity and Stability in Dynamic Network Formation," Games, MDPI, vol. 11(4), pages 1-10, October.
    • Handle: RePEc:gam:jgames:v:11:y:2020:i:4:p:49-:d:436463
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    References listed on IDEAS

    as
    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.
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    9. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
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