Template-Type: ReDIF-Paper 1.0 Title: The hold-up problem with flexible unobservable investments Author-Name: Daniel Krähmer Author-Email: kraehmer@hcm.uni-bonn.d Classification-JEL: C61, D42, D82 Keywords: Information Design, Hold-Up Problem, Unobservable Information Abstract: The paper studies the canonical hold-up problem with one-sided investment by the buyer and full ex post bargaining power by the seller. The buyer can covertly choose any distribution of valuations at a cost and privately observes her valuation. The main result shows that in contrast to the well-understood case with linear costs, if investment costs are strictly convex in the buyer’s valuation distribution, the buyer’s equilibrium utility is strictly positive and to- tal welfare is strictly higher than in the benchmark when valuations are public information, thus alleviating the hold-up problem. In fact, when costs are mean-based or display decreas- ing risk, the hold-up problem may disappear completely. Moreover, the buyer’s equilibrium utility and total welfare might be non-monotone in costs. The paper utilizes an equilibrium characterization in terms of the Gateaux derivative of the cost function. Note: Length: 37 Creation-Date: 2024-04 Revision-Date: File-URL: https://www.crctr224.de/research/discussion-papers/archive/dp523 File-Format: application/pdf Handle: RePEc:bon:boncrc:CRCTR224_2024_523