RT Journal Article
T1 A Value for Graph-Restricted Games with Middlemen on Edges
A1 Alarcón Carrero, Antonio Carlos
A1 Gallardo Morilla, José Manuel
A1 Jiménez Losada, Andrés
AB In a cooperative game with a communication structure, a graph describes the communicationpossibilities of the players, which are represented by the nodes. We introduce a variation of thismodel by assuming that each edge in the communication graph represents an agent. These agentssimply act as intermediaries, but since they are essential for the cooperation and, consequently, forrevenue generation, they will claim their share of the profit. We study this new model of games witha communication structure and introduce an allocation rule for these games. The motivation foranalyzing this type of problem is based on the construction of a risk index for the different elementsof an internal network.
PB MDPI
SN 2227-7390 (electrónico)
YR 2022
FD 2022
LK https://hdl.handle.net/10272/21928
UL https://hdl.handle.net/10272/21928
LA eng
NO Alarcón, A. C., Gallardo, J. M., & Jiménez-Losada, A. (2022). A Value for Graph-Restricted Games with Middlemen on Edges. In Mathematics (Vol. 10, Issue 11, p. 1856). MDPI AG. https://doi.org/10.3390/math10111856
NO This research has been supported by the Andalusian Regional Government under grant FQM-237.
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026