A unified approach to the Myerson value and the position value

被引:8
|
作者
Gómez, D
González-Arangüena, E
Manuel, C
Owen, G
Del Pozo, M
机构
[1] Univ Complutense Madrid, Dept Estadist & IO EU Estadist 3, E-28040 Madrid, Spain
[2] USN, Postgrad Sch, Dept Math, Monterey, CA 93942 USA
关键词
allocation rules; Myerson value; position value; inclusion-exclusion decomposability property;
D O I
10.1007/s11238-004-5636-4
中图分类号
F [经济];
学科分类号
02 ;
摘要
We reconsider the Myerson value and the position value for communication situations. In case the underlying game is a unanimity game, we show that each of these values can be computed using the inclusion exclusion principle. Linearity of both values permits us to calculate them without needing the dividends of the induced games (graph-restricted game and link game). The expression of these dividends is only derived in the existing literature for special communication situations. Moreover, the associated inclusion-exclusion decomposability property depends on what we have called the graph allocation rule. This rule is the relative degree (relative indicator) for the position value (Myerson value).
引用
收藏
页码:63 / 76
页数:14
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