Real-time bidding is getting increasingly popular for buying and selling online display advertisement. This has spurred a research interest into how to design optimal bidding algorithms, with advances during the last two to three years focusing heavily on reinforcement learning. This thesis focuses on creating bidding agent using recent innovations in combining reinforcement learning and deep learning, drawing heavily from a recent paper by Wu et al. (2018). However, the final algorithm presented in this thesis, called (Batch) Deep Reinforcement Learning to Bid (Batch-DRLB) deviates quite a bit from their algorithm. Batch-DRLB shows superior results to two simple benchmark algorithms and compares very well to current state-of-the-art algori...