A note on theβ-measure for digraph competitions |
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| Authors: | Marieke Quant Peter Borm Hans Reijnierse Mark Voorneveld |
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| Affiliation: | (1) CentER and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands |
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| Abstract: | Digraph games are cooperative TU-games associated to digraph competitions: domination structures that can be modeled by directed graphs. Examples come from sports competitions or from simple majority win digraphs corresponding to preference profiles for a group of individuals within the framework of social choice theory. Brink and Gilles (2000) defined theβ-measure of a digraph competition as the Shapley value of the corresponding digraph game. This paper provides a new characterization of theβ-measure. |
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| Keywords: | Digraph competition β -measure |
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