A Note on Shapley Ratings in Brain Networks

Marieke Musegaas, Bas Dietzenbacher, Peter Borm

Research output: Working paperDiscussion paperOther research output

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.
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

Fingerprint

Coalitional Games
Shapley Value
Game
Visual Cortex
Directed Network
Alternatives
Cortex
Intuitive
Computing
Brain
Influence

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

A Note on Shapley Ratings in Brain Networks. / Musegaas, Marieke; Dietzenbacher, Bas; Borm, Peter.

Tilburg : CentER, Center for Economic Research, 2016. (CentER Discussion Paper; Vol. 2016-025).

Research output: Working paperDiscussion paperOther research output

TY - UNPB

T1 - A Note on Shapley Ratings in Brain Networks

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AU - Borm, Peter

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N2 - We consider the problem of computing the inuence of a neuronal structure in abrain 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.

AB - We consider the problem of computing the inuence of a neuronal structure in abrain 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.

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Musegaas M, Dietzenbacher B, Borm P. A Note on Shapley Ratings in Brain Networks. Tilburg: CentER, Center for Economic Research. 2016 Jul 11. (CentER Discussion Paper).