Abstract
Abstract Communication and interaction of individuals in the real world cannot be represented by one-layer networks, and in our paper we use multiplex networks capturing the complexity of their interactions. We define players’ utilities taking into account a multilayer structure of the network by specifying different ways of accounting players’ costs. Using two approaches, we obtain stability conditions for special multilplex structures including all-layer complete, all-layer star with unique or different centers, and all-layer unique networks.
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