scholarly journals Efficient extension of the Owen value with graph-restricted communication

2020 ◽  
Vol 50 (9) ◽  
pp. 1219
Author(s):  
Shan Erfang ◽  
Shi Jilei ◽  
Kang Liying ◽  
Lyu Wenrong
Keyword(s):  
Owen Value

scholarly journals An Algorithm for Critical Nodes Problem in Social Networks Based on Owen Value

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Xue-Guang Wang
Keyword(s):  
Social Networks ◽  
Community Structure ◽  
Marginal Contribution ◽  
Actual Situation ◽  
Owen Value ◽  
Critical Node ◽  
Critical Nodes ◽  
Synthetic Datasets ◽  
Critical Node Problem ◽  
Node Problem

Discovering critical nodes in social networks has many important applications. For finding out the critical nodes and considering the widespread community structure in social networks, we obtain each node’s marginal contribution by Owen value. And then we can give a method for the solution of the critical node problem. We validate the feasibility and effectiveness of our method on two synthetic datasets and six real datasets. At the same time, the result obtained by using our method to analyze the terrorist network is in line with the actual situation.

THE SHAPLEY VALUE, THE OWEN VALUE, AND THE VEIL OF IGNORANCE

2009 ◽  
Vol 11 (04) ◽  
pp. 453-457 ◽  
Author(s):  
ANDRÉ CASAJUS
Keyword(s):  
Shapley Value ◽  
Banzhaf Value ◽  
Owen Value ◽  
Symmetric Distributions ◽  
Veil Of Ignorance ◽  
Tu Games ◽  
The Shapley Value ◽  
The Veil ◽  
Cooperation Structure

We show that the Owen value for TU games with a cooperation structure extends the Shapley value in a consistent way. In particular, the Shapley value is the expected Owen value for all symmetric distributions on the partitions of the player set. Similar extensions of the Banzhaf value do not show this property.

The Owen Value Applied to Games with Graph-Restricted Communication

1996 ◽  
Vol 12 (1) ◽  
pp. 42-53 ◽  
Author(s):  
Margarita Vázquez-Brage ◽  
Ignacio Garcı́a-Jurado ◽  
Francesc Carreras
Keyword(s):  
Owen Value
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