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When resources are shared between networks in a multiplexed system, the importance of each node depends strongly on how collaborative or competitive each sub-network is. In this paper, we develop a new method of measuring centrality in the complex network of patent citations that can take political borders into account, where the national benefit of domestic citations relative to foreign citations can be controlled by a free parameter. We find that while some patent classes are of highdoi:10.1093/comnet/cnu031 fatcat:xvpdwqbelbd2hcwivfvi67ca54