A Note on Shapley Ratings in Brain Networks

Marieke Musegaas, Bas Dietzenbacher, Peter Borm

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Abstract

We consider the problem of computing the in
uence of a neuronal structure in a
brain network. Abraham, Kotter, Krumnack, and Wanke (2006) computed this influence by using the Shapley value of a coalitional game corresponding to a directed network as a rating. Kotter, Reid, Krumnack, Wanke, and Sporns (2007) applied this rating to large-scale brain networks, in particular to the macaque visual cortex and the macaque prefrontal cortex. We introduce an alternative coalitional game that is more intuitive from a game theoretical point of view. We use the Shapley value of this game as an alternative rating to analyze the macaque brain networks and corroborate the findings of Kotter et al. (2007). Moreover, we show how missing information on the existence of certain connections can readily be incorporated into this game and the corresponding Shapley rating.
Original languageEnglish
Place of PublicationTilburg
PublisherCentER, Center for Economic Research
Number of pages9
Volume2016-025
Publication statusPublished - 11 Jul 2016

Publication series

NameCentER Discussion Paper
Volume2016-025

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Keywords

  • brain networks
  • coalitional games
  • Shapley value

Cite this

Musegaas, M., Dietzenbacher, B., & Borm, P. (2016). A Note on Shapley Ratings in Brain Networks. (CentER Discussion Paper; Vol. 2016-025). Tilburg: CentER, Center for Economic Research.