The Myerson value for union stable structures

E Algaba, JM Bilbao, P Borm, JJ López - Mathematical Methods of …, 2001 - Springer
E Algaba, JM Bilbao, P Borm, JJ López
Mathematical Methods of Operations Research, 2001Springer
We study cooperation structures with the following property: Given any two feasible
coalitions with non-empty intersection, its union is a feasible coalition again. These
combinatorial structures have a direct relationship with graph communication situations and
conference structures à la Myerson. Characterizations of the Myerson value in this context
are provided using the concept of basis for union stable systems. Moreover, TU-games
restricted by union stable systems generalizes graph-restricted games and games with …
Abstract
We study cooperation structures with the following property: Given any two feasible coalitions with non-empty intersection, its union is a feasible coalition again. These combinatorial structures have a direct relationship with graph communication situations and conference structures à la Myerson. Characterizations of the Myerson value in this context are provided using the concept of basis for union stable systems. Moreover, TU-games restricted by union stable systems generalizes graph-restricted games and games with permission structures.
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