Budget Constrained Bidding by Model-free Reinforcement Learning in Display Advertising
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Abstract (arXiv)
Real-time bidding (RTB) is an important mechanism in online display advertising, where a proper bid for each page view plays an essential role for good marketing results. Budget constrained bidding is a typical scenario in RTB where the advertisers hope to maximize the total value of the winning impressions under a pre-set budget constraint. However, the optimal bidding strategy is hard to be derived due to the complexity and volatility of the auction environment. To address these challenges, in this paper, we formulate budget constrained bidding as a Markov Decision Process and propose a model-free reinforcement learning framework to resolve the optimization problem. Our analysis shows that the immediate reward from environment is misleading under a critical resource constraint. Therefore, we innovate a reward function design methodology for the reinforcement learning problems with constraints. Based on the new reward design, we employ a deep neural network to learn the appropriate reward so that the optimal policy can be learned effectively. Different from the prior model-based work, which suffers from the scalability problem, our framework is easy to be deployed in large-scale industrial applications. The experimental evaluations demonstrate the effectiveness of our framework on large-scale real datasets.
Key facts. Cited by 60 papers in the map (data through 7 Oct 2026). First posted on arXiv 23 Feb 2018.
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Citing papers per year: 2021: 8; 2022: 11; 2023: 12; 2024: 8; 2025: 12; 2026: 9.
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- 2022Sustainable Online Reinforcement Learning for Auto-biddingcited by 28
- 2024AuctionNet: A Novel Benchmark for Decision-Making in Large-Scale Gamescited by 26
- 2025Generative Auto-Bidding with Value-Guided Explorationscited by 23
- 2021A Cooperative-Competitive Multi-Agent Framework for Auto-bidding in Online Advertisingcited by 22
- 2021Accelerating Offline Reinforcement Learning Application in Real-Time Bidding and Recommendation: Potential Use of Simulationcited by 16
- 2023A Near-Optimal Algorithm for Safe Reinforcement Learning Under Instantaneous Hard Constraintscited by 15
- 2023Model-based Constrained MDP for Budget Allocation in Sequential Incentive Marketingcited by 15
- 2024Learning Adversarial MDPs with Stochastic Hard Constraintscited by 15
- 2021An Efficient Deep Distribution Network for Bid Shading in First-Price Auctionscited by 14
- 2025RTBAgent: A LLM-based Agent System for Real-Time Biddingcited by 13
- 2022ROI-Constrained Bidding via Curriculum-Guided Bayesian Reinforcement Learningcited by 12
- 2022MBCT: Tree-Based Feature-Aware Binning for Individual Uncertainty Calibrationcited by 11
38 more
- 2024Optimal Strong Regret and Violation in Constrained MDPs via Policy Optimizationcited by 11
- 2023A Best-of-Both-Worlds Algorithm for Constrained MDPs with Long-Term Constraintscited by 9
- 2024Trajectory-wise Iterative Reinforcement Learning Framework for Auto-biddingcited by 9
- 2023Offline Reinforcement Learning for Optimizing Production Bidding Policiescited by 8
- 2021We Know What You Want: An Advertising Strategy Recommender System for Online Advertisingcited by 5
- 2023Safe Reinforcement Learning with Instantaneous Constraints: The Role of Aggressive Explorationcited by 5
- 2024Learning Constrained Markov Decision Processes With Non-stationary Rewards and Constraintscited by 5
- 2025An Adaptable Budget Planner for Enhancing Budget-Constrained Auto-Bidding in Online Advertisingcited by 5
- 2025Generative Auto-Bidding in Large-Scale Competitive Auctions via Diffusion Completer-Alignercited by 5
- 2022Real-time Bidding Strategy in Display Advertising: An Empirical Analysiscited by 4
- 2023HiBid: A Cross-Channel Constrained Bidding System with Budget Allocation by Hierarchical Offline Deep Reinforcement Learningcited by 4
- 2021Computation Resource Allocation Solution in Recommender Systemscited by 3
- 2022BCRLSP: An Offline Reinforcement Learning Framework for Sequential Targeted Promotioncited by 3
- 2023Marketing Budget Allocation with Offline Constrained Deep Reinforcement Learningcited by 3
- 2023RL-MPCA: A Reinforcement Learning Based Multi-Phase Computation Allocation Approach for Recommender Systemscited by 3
- 2024Auto-bidding in real-time auctions via Oracle Imitation Learning (OIL)cited by 3
- 2021EnTRPO: Trust Region Policy Optimization Method with Entropy Regularizationcited by 2
- 2022A Real-World Implementation of Unbiased Lift-based Bidding Systemcited by 2
- 2022Impression Allocation and Policy Search in Display Advertisingcited by 2
- 2023AdCraft: An Advanced Reinforcement Learning Benchmark Environment for Search Engine Marketing Optimizationcited by 2
- 2021Bid Optimization using Maximum Entropy Reinforcement Learningcited by 1
- 2022Adaptive Risk-Aware Bidding with Budget Constraint in Display Advertisingcited by 1
- 2024Online Auction Design Using Distribution-Free Uncertainty Quantification with Applications to E-Commercecited by 1
- 2025Permutation Equivariant Model-based Offline Reinforcement Learning for Auto-biddingcited by 1
- 2025Lightweight Auto-bidding based on Traffic Prediction in Live Advertisingcited by 1
- 2025Deep Reinforcement Learning for Ranking Utility Tuning in the Ad Recommender System at Pinterestcited by 1
- 2025Beyond Slater's Condition in Online CMDPs with Stochastic and Adversarial Constraintscited by 1
- 2025Autobidding Arena: unified evaluation of the classical and RL-based autobidding algorithmscited by 1
- 2021Techniques Toward Optimizing Viewability in RTB Ad Campaigns Using Reinforcement Learningcited by 0
- 2022A Unified Framework for Campaign Performance Forecasting in Online Display Advertisingcited by 0
- 2022Functional Optimization Reinforcement Learning for Real-Time Biddingcited by 0
- 2022Risk-Aware Bid Optimization for Online Display Advertisementcited by 0
- 2023Towards a User Privacy-Aware Mobile Gaming App Installation Prediction Modelcited by 0
- 2023Bandits for Sponsored Search Auctions under Unknown Valuation Model: Case Study in E-Commerce Advertisingcited by 0
- 2023Advancing Ad Auction Realism: Practical Insights & Modeling Implicationscited by 0
- 2024Hierarchical Multi-agent Meta-Reinforcement Learning for Cross-channel Biddingcited by 0
- 2025Large-Scale Auto-bidding with Nash Equilibrium Constraintscited by 0
- 2025HALO: Hindsight-Augmented Learning for Online Auto-Biddingcited by 0
50 most cited of 60 All 60 (JSON)
- 2026Learning to Allocate Incentives for Incentivized Advertising via Offline Model-Based Reinforcement Learning28 Aug 2026
- 2026Generative Optimization for Incentivized Advertising with Global Level Constraints5 Aug 2026
- 2026Less Traffic, Better Outcomes: Competition-Aware Request Dispatch in Real-Time Ad Exchanges4 Aug 2026
- 2026DRIVE: Distributional and Retrieval-Augmented Bidding with Value Evaluation12 Jun 2026
- 2026Constrained Auto-Bidding via Generative Response Modeling27 May 2026
- 2026A Production-Ready RL Framework for Personalized Utility Tuning with Pareto Sweeping in Pinterest Recommender Systems8 May 2026
- 2026A Lightweight MPC Bidding Framework for Brand Auction Ads8 Mar 2026
- 2026AHBid: An Adaptable Hierarchical Bidding Framework for Cross-Channel Advertising26 Feb 2026
- 2026Q-Regularized Generative Auto-Bidding: From Suboptimal Trajectories to Optimal Policies6 Jan 2026
- 2025Autobidding Arena: unified evaluation of the classical and RL-based autobidding algorithms22 Oct 2025
- 2025VAO: Validation-Aligned Optimization for Cross-Task Generative Auto-Bidding9 Oct 2025
- 2025Beyond Slater's Condition in Online CMDPs with Stochastic and Adversarial Constraints24 Sep 2025
38 more
- 2025Deep Reinforcement Learning for Ranking Utility Tuning in the Ad Recommender System at Pinterest5 Sep 2025
- 2025Generative Auto-Bidding in Large-Scale Competitive Auctions via Diffusion Completer-Aligner3 Sep 2025
- 2025Lightweight Auto-bidding based on Traffic Prediction in Live Advertising8 Aug 2025
- 2025HALO: Hindsight-Augmented Learning for Online Auto-Bidding5 Aug 2025
- 2025Permutation Equivariant Model-based Offline Reinforcement Learning for Auto-bidding22 Jun 2025
- 2025Generative Auto-Bidding with Value-Guided Explorations20 Apr 2025
- 2025Large-Scale Auto-bidding with Nash Equilibrium Constraints13 Mar 2025
- 2025RTBAgent: A LLM-based Agent System for Real-Time Bidding2 Feb 2025
- 2025An Adaptable Budget Planner for Enhancing Budget-Constrained Auto-Bidding in Online Advertising26 Jan 2025
- 2024Hierarchical Multi-agent Meta-Reinforcement Learning for Cross-channel Bidding26 Dec 2024
- 2024Auto-bidding in real-time auctions via Oracle Imitation Learning (OIL)16 Dec 2024
- 2024AuctionNet: A Novel Benchmark for Decision-Making in Large-Scale Games14 Dec 2024
- 2024Optimal Strong Regret and Violation in Constrained MDPs via Policy Optimization3 Oct 2024
- 2024Learning Constrained Markov Decision Processes With Non-stationary Rewards and Constraints23 May 2024
- 2024Online Auction Design Using Distribution-Free Uncertainty Quantification with Applications to E-Commerce11 May 2024
- 2024Learning Adversarial MDPs with Stochastic Hard Constraints6 Mar 2024
- 2024Trajectory-wise Iterative Reinforcement Learning Framework for Auto-bidding23 Feb 2024
- 2023HiBid: A Cross-Channel Constrained Bidding System with Budget Allocation by Hierarchical Offline Deep Reinforcement Learning29 Dec 2023
- 2023RL-MPCA: A Reinforcement Learning Based Multi-Phase Computation Allocation Approach for Recommender Systems27 Dec 2023
- 2023Safe Reinforcement Learning with Instantaneous Constraints: The Role of Aggressive Exploration22 Dec 2023
- 2023Offline Reinforcement Learning for Optimizing Production Bidding Policies13 Oct 2023
- 2023Marketing Budget Allocation with Offline Constrained Deep Reinforcement Learning6 Sep 2023
- 2023Advancing Ad Auction Realism: Practical Insights & Modeling Implications21 Jul 2023
- 2023AdCraft: An Advanced Reinforcement Learning Benchmark Environment for Search Engine Marketing Optimization21 Jun 2023
- 2023A Best-of-Both-Worlds Algorithm for Constrained MDPs with Long-Term Constraints27 Apr 2023
- 2023Bandits for Sponsored Search Auctions under Unknown Valuation Model: Case Study in E-Commerce Advertising31 Mar 2023
- 2023Model-based Constrained MDP for Budget Allocation in Sequential Incentive Marketing2 Mar 2023
- 2023A Near-Optimal Algorithm for Safe Reinforcement Learning Under Instantaneous Hard Constraints8 Feb 2023
- 2023Towards a User Privacy-Aware Mobile Gaming App Installation Prediction Model7 Feb 2023
- 2022Adaptive Risk-Aware Bidding with Budget Constraint in Display Advertising6 Dec 2022
- 2022Real-time Bidding Strategy in Display Advertising: An Empirical Analysis30 Nov 2022
- 2022Risk-Aware Bid Optimization for Online Display Advertisement28 Oct 2022
- 2022Sustainable Online Reinforcement Learning for Auto-bidding13 Oct 2022
- 2022BCRLSP: An Offline Reinforcement Learning Framework for Sequential Targeted Promotion16 Jul 2022
- 2022Functional Optimization Reinforcement Learning for Real-Time Bidding25 Jun 2022
- 2022ROI-Constrained Bidding via Curriculum-Guided Bayesian Reinforcement Learning10 Jun 2022
- 2022Impression Allocation and Policy Search in Display Advertising11 Mar 2022
- 2022A Unified Framework for Campaign Performance Forecasting in Online Display Advertising24 Feb 2022
50 newest of 60 All 60 (JSON)
- 2021Accelerating Offline Reinforcement Learning Application in Real-Time Bidding and Recommendation: Potential Use of Simulationcited by 16
- 2024Trajectory-wise Iterative Reinforcement Learning Framework for Auto-biddingcited by 9
- 2023Offline Reinforcement Learning for Optimizing Production Bidding Policiescited by 8
- 2023HiBid: A Cross-Channel Constrained Bidding System with Budget Allocation by Hierarchical Offline Deep Reinforcement Learningcited by 4
- 2022BCRLSP: An Offline Reinforcement Learning Framework for Sequential Targeted Promotioncited by 3
- 2025Permutation Equivariant Model-based Offline Reinforcement Learning for Auto-biddingcited by 1
- 2026DRIVE: Distributional and Retrieval-Augmented Bidding with Value Evaluationcited by 0
- 2026Learning to Allocate Incentives for Incentivized Advertising via Offline Model-Based Reinforcement Learningcited by 0
- 2026Learning to Allocate Incentives for Incentivized Advertising via Offline Model-Based Reinforcement Learning28 Aug 2026
- 2026DRIVE: Distributional and Retrieval-Augmented Bidding with Value Evaluation12 Jun 2026
- 2025Permutation Equivariant Model-based Offline Reinforcement Learning for Auto-bidding22 Jun 2025
- 2024Trajectory-wise Iterative Reinforcement Learning Framework for Auto-bidding23 Feb 2024
- 2023HiBid: A Cross-Channel Constrained Bidding System with Budget Allocation by Hierarchical Offline Deep Reinforcement Learning29 Dec 2023
- 2023Offline Reinforcement Learning for Optimizing Production Bidding Policies13 Oct 2023
- 2022BCRLSP: An Offline Reinforcement Learning Framework for Sequential Targeted Promotion16 Jul 2022
- 2021Accelerating Offline Reinforcement Learning Application in Real-Time Bidding and Recommendation: Potential Use of Simulation17 Sep 2021
- 2025RTBAgent: A LLM-based Agent System for Real-Time Biddingcited by 13
- 2025RTBAgent: A LLM-based Agent System for Real-Time Bidding2 Feb 2025
- 2022Sustainable Online Reinforcement Learning for Auto-biddingcited by 28
- 2024AuctionNet: A Novel Benchmark for Decision-Making in Large-Scale Gamescited by 26
- 2025Generative Auto-Bidding with Value-Guided Explorationscited by 23
- 2021A Cooperative-Competitive Multi-Agent Framework for Auto-bidding in Online Advertisingcited by 22
- 2023A Near-Optimal Algorithm for Safe Reinforcement Learning Under Instantaneous Hard Constraintscited by 15
- 2023Model-based Constrained MDP for Budget Allocation in Sequential Incentive Marketingcited by 15
- 2024Learning Adversarial MDPs with Stochastic Hard Constraintscited by 15
- 2021An Efficient Deep Distribution Network for Bid Shading in First-Price Auctionscited by 14
- 2022ROI-Constrained Bidding via Curriculum-Guided Bayesian Reinforcement Learningcited by 12
- 2022MBCT: Tree-Based Feature-Aware Binning for Individual Uncertainty Calibrationcited by 11
- 2024Optimal Strong Regret and Violation in Constrained MDPs via Policy Optimizationcited by 11
- 2023A Best-of-Both-Worlds Algorithm for Constrained MDPs with Long-Term Constraintscited by 9
12 most cited of 51 All 51 (JSON)
- 2026Generative Optimization for Incentivized Advertising with Global Level Constraints5 Aug 2026
- 2026Less Traffic, Better Outcomes: Competition-Aware Request Dispatch in Real-Time Ad Exchanges4 Aug 2026
- 2026Constrained Auto-Bidding via Generative Response Modeling27 May 2026
- 2026A Production-Ready RL Framework for Personalized Utility Tuning with Pareto Sweeping in Pinterest Recommender Systems8 May 2026
- 2026A Lightweight MPC Bidding Framework for Brand Auction Ads8 Mar 2026
- 2026AHBid: An Adaptable Hierarchical Bidding Framework for Cross-Channel Advertising26 Feb 2026
- 2026Q-Regularized Generative Auto-Bidding: From Suboptimal Trajectories to Optimal Policies6 Jan 2026
- 2025Autobidding Arena: unified evaluation of the classical and RL-based autobidding algorithms22 Oct 2025
- 2025VAO: Validation-Aligned Optimization for Cross-Task Generative Auto-Bidding9 Oct 2025
- 2025Beyond Slater's Condition in Online CMDPs with Stochastic and Adversarial Constraints24 Sep 2025
- 2025Deep Reinforcement Learning for Ranking Utility Tuning in the Ad Recommender System at Pinterest5 Sep 2025
- 2025Generative Auto-Bidding in Large-Scale Competitive Auctions via Diffusion Completer-Aligner3 Sep 2025
12 newest of 51 All 51 (JSON)