scholarly journals A New Procedure to Calculate the Owen Value

2017 ◽  
Author(s):  
José Miguel Giménez ◽  
María Albina Puente
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.

Another characterization of the Owen value without the additivity axiom

2009 ◽  
Vol 69 (4) ◽  
pp. 523-536 ◽  
Author(s):  
André Casajus
Keyword(s):  
Owen Value

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

A Note on the Owen Value for Glove Games

2015 ◽  
Vol 17 (04) ◽  
pp. 1550014 ◽  
Author(s):  
Julia Belau
Keyword(s):  
Shapley Value ◽  
Simple Game ◽  
Computational Effort ◽  
Computationally Efficient ◽  
Owen Value ◽  
Allocation Rules ◽  
The Shapley Value ◽  
Minimal Winning Coalitions

A well-known and simple game to model markets is the glove game where worth is produced by building matching pairs. For glove games, different concepts, like the Shapley value, the component restricted Shapley value or the Owen value, yield different distributions of worth. While the Shapley value does not distinguish between productive and unproductive agents in the market and the component restricted Shapley value does not consider imbalancedness of the market, the Owen value accounts for both. As computational effort for Shapley-based allocation rules is generally high, this note provides a computationally efficient formula for the Owen value (and the component restricted Shapley value) for glove games in case of minimal winning coalitions. A comparison of the efficient formulas highlights the above-mentioned differences.

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