This paper develops a micro-founded framework linking price-cost and wage markups to intangible assets. Intangible assets, once created, are a source of firm rents. Owing to limits to enforceable ownership and the non-rival nature of knowledge, these rents can be both retained by the origin firm and transferred to a competitor through poaching of workers. Search and matching frictions affect labor mobility and result in bargaining over rents between the firm and the worker. This environment generates hold-up in intangible asset creation and motivates rent sharing. Under non-compete agreements, poached workers face start delays that weaken outside options. Using microdata from the Netherlands, we document higher price-cost and wage markups in more intangible-intensive firms and lower wages for workers with non-compete agreements, consistent with the model.