Allocation rules for communication situations with incompatibilities
本文研究存在不兼容关系的合作情境,结合图限制博弈和不兼容玩家博弈,提出基于利润测度的分配规则,适用于分析受限合作中的收益分配问题。
Abstract In this article we analyze certain situations with restricted cooperation. To do this we introduce a model that combines two types of games well studied in the literature: graph-restricted games and games with incompatible players. In particular, our model extends Myerson’s model for communication situations and Bergantiños’ model for incompatible relationships. Our approach is based on the concept of profit measure, which allows us to deal simultaneously with both types of bilateral relationships. We show that in the situations considered there are multiple possible definitions of the profit achievable for each coalition. This leads us to introduce different allocation rules for these cooperative situations.