, Volume 25, Issue 1, pp 42–44 | Cite as

Comments on: Games with a permission structure - A survey on generalizations and applications

  • Juan Vidal-PugaEmail author

Van den Brink presents an excellent survey on how a permission structure affects the sharing of benefits from cooperation among a finite set of players. The survey covers from the simplest and most intuitive permission structure, given by a directed graph, to a more general one, given by the abstract concept of normal antimatroid (Dilworth 1940). This generalization allows to include very particular cases such as the one presented in Example 2, where permission is held not by a fixed set of players but as the result of a voting game. I believe normal antimatroids could be the most general concept that maintains the essential ideas of a permission structure.

On the other hand, and despite the fact that other solution concepts are briefly commented in the concluding remarks section, the results are focused on the Shapley value. The Shapley value is already considered as (one of) the most relevant solution concept(s) in transferable utility (TU) games. Yet, I believe it is specially...


Dependence Relation Preference Structure Vote Game Balance Game Transferable Utility 
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Copyright information

© Sociedad de Estadística e Investigación Operativa 2017

Authors and Affiliations

  1. 1.Universidade de VigoVigoSpain

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