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Regular version of the site

Article

Generating functions and Owen value in cooperative network cover game

Performance Evaluation. 2020. Vol. 144. P. 102135.
Mazalov V. V., V. V. Gusev.

We consider a cooperative game based on a network in which nodes represent players
and the characteristic function is defined using a maximal covering by the pairs of
connected nodes. Problems of this form arise in many applications such as mobile
communications, patrolling, logistics and sociology. The Owen value, which describes
the significance of each node in the network, is derived. We show that the method of
generating functions can be useful for calculating this Owen value and illustrate this
approach based on examples of network structures.