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René van Den Brink & Peter Borm (2002). Digraph Competitions and Cooperative Games.

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  1.  47
    Games with a Local Permission Structure: Separation of Authority and Value Generation. [REVIEW]René van den Brink & Chris Dietz - 2014 - Theory and Decision 76 (3):343-361.
  2.  45
    Internal Slackening Scoring Methods.Marco Slikker, Peter Borm & René van den Brink - 2012 - Theory and Decision 72 (4):445-462.
    We deal with the ranking problem of the nodes in a directed graph. The bilateral relationships specified by a directed graph may reflect the outcomes of a sport competition, the mutual reference structure between websites, or a group preference structure over alternatives. We introduce a class of scoring methods for directed graphs, indexed by a single nonnegative parameter α. This parameter reflects the internal slackening of a node within an underlying iterative process. The class of so-called internal slackening scoring methods, (...)
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  3.  76
    A Model of Influence in a Social Network.Michel Grabisch & Agnieszka Rusinowska - 2010 - Theory and Decision 69 (1):69-96.
    In the paper, we study a model of influence in a social network. It is assumed that each player has an inclination to say YES or NO which, due to influence of other players, may be different from the decision of the player. The point of departure here is the concept of the Hoede-Bakker index - the notion which computes the overall decisional 'power' of a player in a social network. The main drawback of the Hoede-Bakker index is that it (...)
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  4.  70
    Characterizations of the Β- and the Degree Network Power Measure.René Van Den Brink, Peter Borm, Ruud Hendrickx & Guillermo Owen - 2008 - Theory and Decision 64 (4):519-536.
    A symmetric network consists of a set of positions and a set of bilateral links between these positions. For every symmetric network we define a cooperative transferable utility game that measures the “power” of each coalition of positions in the network. Applying the Shapley value to this game yields a network power measure, the β-measure, which reflects the power of the individual positions in the network. Applying this power distribution method iteratively yields a limit distribution, which turns out to be (...)
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