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The Power of Closeness in a Network

In: Advances in Collective Decision Making

Author

Listed:
  • Manfred J. Holler

    (University of Hamburg, Germany and CCR-Munich)

  • Florian Rupp

    (Kutaisi International University, Georgia and CCR-Munich)

Abstract

This paper considers the question of whether it is profitable for a weaker player to be closely linked to a strong/powerful player—our conjecture is ‘Yes’—and whether it is more beneficial to a strong/powerful player to be closely linked with a weak player than being linked with a strong player. Our understanding of power is based on the Public Good Index. We will demonstrate that in this sense power is a non-local concept indicating that strong players form a ‘hot-region’ about the strongest player. To obtain this result, we present an easy to perform algorithm for the computer-based determination of the Public Good Index on networks that equips us with instruments for studying the voting power in small networks.

Suggested Citation

  • Manfred J. Holler & Florian Rupp, 2023. "The Power of Closeness in a Network," Studies in Choice and Welfare, in: Sascha Kurz & Nicola Maaser & Alexander Mayer (ed.), Advances in Collective Decision Making, pages 243-258, Springer.
    • Handle: RePEc:spr:stcchp:978-3-031-21696-1_15
    DOI: 10.1007/978-3-031-21696-1_15
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