RT Journal Article
T1 A unified approach to the Myerson value and the position value
A1 Gómez González, Daniel
A1 González Arangüena, Enrique
A1 Manuel García, Conrado Miguel
A1 Owen, Guillermo
A1 Pozo Juan, Mónica
A2 Abdellaoui, Mohammed
AB 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).
PB Springer
SN 0040-5833
YR 2004
FD 2004-02
LK https://hdl.handle.net/20.500.14352/102265
UL https://hdl.handle.net/20.500.14352/102265
LA eng
NO Gómez, D. et al. (2004) «A unified approach to the myerson value and the position value», Theory and Decision, 56(1-2), pp. 63-76. doi:10.1007/S11238-004-5636-4
DS Docta Complutense
RD 5 abr 2025