Communication situations with asymmetric players

Communication situations with asymmetric players

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Article ID: iaor20013520
Country: Germany
Volume: 52
Issue: 1
Start Page Number: 39
End Page Number: 56
Publication Date: Jan 2000
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: ,
Abstract:

In this paper we study situations where asymmetric players have restricted possibilities for communication. Extreme asymmetry results in a hierarchy among the players. We introduce a class of allocation rules for these situations inspired by the Myerson value and Shapley values with weight systems. It is shown that this new class of allocation rules can be characterized by a consistency property, a fairness criterion, a property based on the hierarchy among the players, and an efficiency criterion. Furthermore, we show that the consistency property can be dropped from the axiomatic characterization when the fairness criterion is strengthened.

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