Preliminary Results on Shapley Value Notions and Propagation Methods for Boolean Networks

The Shapley value is a concept in coalition game theory, with applications extending across various fields, including computational biology. In this domain, the Shapley value is primarily used to assess the importance of nodes within biological networks. In this study, we tackle the problem of evaluating the significance of nodes in gene regulatory networks modeled as Boolean networks. We introduce two game settings for Boolean networks, along with three different notions of the Shapley value. Furthermore, we present preliminary results on a propagation method that enables the Shapley value to be extended from one set of nodes to others within the network.