Power surplus solutions for weighted hypergraph communication situations
In this paper, we study a framework of weighted hypergraph communication situations, in which each hyperlink is interpreted as a conference and the same players may have different weights in different conferences. Since common players play an intermediary role in the communication between conference...
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| Veröffentlicht in: | International transactions in operational research 2022-11, Vol.29 (6), p.3346-3369 |
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| container_title | International transactions in operational research |
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| creator | Li, Xianghui Joosten, Reinoud Uetz, Marc Li, Yang |
| description | In this paper, we study a framework of weighted hypergraph communication situations, in which each hyperlink is interpreted as a conference and the same players may have different weights in different conferences. Since common players play an intermediary role in the communication between conferences for hypergraph communication situations, we believe that noncommon players should pay a certain fee to the common players as an intermediary fee, and accordingly propose a concept of power index. We define and characterize so‐called power surplus solutions for weighted acyclic hypergraph communication situations, which distribute the surplus of each conference based on the power index of its members. Finally, two applications of power surplus solutions are discussed. |
| doi_str_mv | 10.1111/itor.13118 |
| format | Article |
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Since common players play an intermediary role in the communication between conferences for hypergraph communication situations, we believe that noncommon players should pay a certain fee to the common players as an intermediary fee, and accordingly propose a concept of power index. We define and characterize so‐called power surplus solutions for weighted acyclic hypergraph communication situations, which distribute the surplus of each conference based on the power index of its members. 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Since common players play an intermediary role in the communication between conferences for hypergraph communication situations, we believe that noncommon players should pay a certain fee to the common players as an intermediary fee, and accordingly propose a concept of power index. We define and characterize so‐called power surplus solutions for weighted acyclic hypergraph communication situations, which distribute the surplus of each conference based on the power index of its members. 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| subjects | cooperative game Graph theory hypergraph Operations research Players power index weight |
| title | Power surplus solutions for weighted hypergraph communication situations |
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