myerson value
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2021 ◽  
Vol 2021 ◽  
pp. 1-5
Author(s):  
Guangming Wang ◽  
Lei Cai ◽  
Erfang Shan

This study deals with a class of efficient extensions of Myerson value for games with hypergraph communication situations in which the surplus is allocated proportionally. We introduce w -fairness of surplus and provide axiomatic characterizations of the new allocation rule. Furthermore, we give an example of research fund distribution amongst researchers, compare the numerical results with several values, and realize other efficient extensions of Myerson value can be obtained depending on the different measure function w on the hypergraph.



2021 ◽  
Vol 2021 ◽  
pp. 1-5
Author(s):  
Guangming Wang ◽  
Erfang Shan

Myerson value and position value are important values in a cooperative game with a graph structure. Usually, due to the differences of players in the game, the weighted Myerson value and weighted position value are more widely used in practical situations. This article offers a new calculation approach of the weighted Myerson value and weighted position value. Instead of using induced games (point game and edge game), we prove that the weighted Myerson value and weighted position value meet decomposability property.



2021 ◽  
Vol 82 (1) ◽  
pp. 145-159
Author(s):  
V. V. Mazalov ◽  
V. A. Khitraya
Keyword(s):  




2020 ◽  
Vol 292 (1) ◽  
pp. 171-181
Author(s):  
Daniel Li Li ◽  
Erfang Shan
Keyword(s):  


2020 ◽  
Vol 48 (2) ◽  
pp. 142-146
Author(s):  
Daniel Li Li ◽  
Erfang Shan




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