RT Journal Article
T1 The within groups and the between groups Myerson values
A1 González Arangüena, Enrique
A1 Manuel García, Conrado Miguel
A1 Owen, Guillermo
A1 Pozo Juan, Mónica
A2 Słowiński, R.
AB In this paper we revisit the additive decomposition that Gómez et al. (2003) introduced for the Myerson value of a symmetric game when viewed as a centrality measure. First, we generalize this decomposition, extending it to general games. This approach permits us to look at the Myerson value of a player as a certain modulus of a two component vector. One of them, the within groups Myerson value, determines which part corresponds to the profit from the coalitions that a given player is in, whereas the other, the between groups Myerson value, evaluates the opportunities that player has as intermediary in the communication among others. These two values are then characterized using additivity and other properties related with previous interpretation: (A) The competitive advantages (or disadvantages) of a null player in a game with restrictions given by a graph (measured in terms of his Myerson value) are due to his ability to intermediate among the others. (B) In the same context, those players essential to coalitions that generate worth cannot obtain profit by intermediating. When restricted to certain symmetric games, the corresponding values can be considered as centrality measures, as they satisfy natural properties that reinforce this interpretation
PB Elsevier
SN 0377-2217
YR 2017
FD 2017-03
LK https://hdl.handle.net/20.500.14352/102144
UL https://hdl.handle.net/20.500.14352/102144
LA eng
NO González-Arangüena et al. (2017) «The within groups and the between groups Myerson values», European Journal of Operational Research, 257(2), pp. 586-600. doi:10.1016/J.EJOR.2016.08.003.
NO Ministerio de Economía (España)
DS Docta Complutense
RD 6 abr 2025