A unified approach to the Myerson value and the position value

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...

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Veröffentlicht in:Theory and decision 2004-02, Vol.56 (1-2), p.63-76
Hauptverfasser: GOMEZ, Daniel, GONZALEZ-ARANGÜENA, Enrique, MANUEL, Conrado, OWEN, Guillermo, DEL POZO, Monica
Format: Artikel
Sprache:eng
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Zusammenfassung: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). [PUBLICATION ABSTRACT]
ISSN:0040-5833
1573-7187
DOI:10.1007/s11238-004-5636-4