A Unified Approach To The Myerson Value And The Position Value

被引:0
|
作者
Daniel Gómez
Enrique González-Arangüena
Conrado Manuel
Guillermo Owen
Monica Del Pozo
机构
[1] Universidad Complutense de Madrid,Dept. de Estadística e I.O. III. E.U. de Estadística
[2] Naval Postgraduate School,Department of Mathematics
来源
Theory and Decision | 2004年 / 56卷
关键词
Allocation rules; Myerson value; Position value; Inclusion-exclusion decomposability property;
D O I
暂无
中图分类号
学科分类号
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).
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页码:63 / 76
页数:13
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