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A Practical Guide to Budget Pacing Algorithms in Digital Advertising

Yuanlong Chen

TL;DR

This work surveys budget pacing in digital advertising, addressing the gap between theory and engineering practice. It presents two canonical pacing problems—max delivery and cost cap—and derives optimal bidding rules via primal-dual, MPC, PID, and DOGD frameworks. The text also covers throttle-based pacing, bid initialization, and bid-response prediction, linking auction mechanisms (FPA, SPA, VCG, GSP) to practical pacing design. By combining online and offline methods, the book aims to equip engineers with actionable strategies for stable, efficient ad delivery under diverse charging models and market conditions.

Abstract

A typical real-time ad-serving funnel comprises ad targeting, conversion modeling (e.g., click-through rate prediction), budget pacing (bidding), and auction processes. While there is a wealth of research and articles on ad targeting and conversion modeling, budget pacing,a crucial component,lacks a systematic treatment specifically tailored for engineers in existing literature. This book aims to provide engineers with a practical yet relatively comprehensive introduction to budget pacing algorithms within the digital advertising domain.

A Practical Guide to Budget Pacing Algorithms in Digital Advertising

TL;DR

This work surveys budget pacing in digital advertising, addressing the gap between theory and engineering practice. It presents two canonical pacing problems—max delivery and cost cap—and derives optimal bidding rules via primal-dual, MPC, PID, and DOGD frameworks. The text also covers throttle-based pacing, bid initialization, and bid-response prediction, linking auction mechanisms (FPA, SPA, VCG, GSP) to practical pacing design. By combining online and offline methods, the book aims to equip engineers with actionable strategies for stable, efficient ad delivery under diverse charging models and market conditions.

Abstract

A typical real-time ad-serving funnel comprises ad targeting, conversion modeling (e.g., click-through rate prediction), budget pacing (bidding), and auction processes. While there is a wealth of research and articles on ad targeting and conversion modeling, budget pacing,a crucial component,lacks a systematic treatment specifically tailored for engineers in existing literature. This book aims to provide engineers with a practical yet relatively comprehensive introduction to budget pacing algorithms within the digital advertising domain.

Paper Structure

This paper contains 218 sections, 2 theorems, 365 equations, 13 figures, 3 tables, 36 algorithms.

Table of Contents

  1. Preliminaries
  2. Basics of Digital Advertising
  3. Brief History
  4. The Early Days of Digital Advertising
  5. The Rise of Programmatic Advertising
  6. The Emergence of Real-Time Bidding (RTB)
  7. In-House Real-Time Bidding Systems
  8. Ads Serving Pipeline
  9. Ad Campaign Configurations
  10. Objective and Optimization Goal
  11. Charging Model
  12. Comparison of Different Bidding Products
  13. Optimization Basics
  14. Primal-Dual Method
  15. KKT Conditions
  16. ...and 203 more sections

Key Result

Lemma 1

Let $G(b)$ be the probability that a bidder with bid $b$ wins an auction, and let $H(b)$ be the expected payment that the bidder makes when bidding $b$. In any dominant-strategy incentive-compatible (DSIC) mechanism, the following relation holds:

Figures (13)

  • Figure I.I.1.1.1: Google Search Ads
  • Figure I.I.1.1.3: Instagram Ads
  • Figure I.I.1.2.5: Illustration of the Ad Serving Pipeline
  • Figure I.I.1.3.6: Objectives and Optimization Goals of LinkedIn Ads
  • Figure I.I.2.2.1: Illustration of the Gradient Descent Algorithm
  • ...and 8 more figures

Theorems & Definitions (5)

  • Lemma 1: Myerson's Lemma
  • proof
  • Theorem 1: Welfare-Maximizing $k$-Slot Auction Is VCG
  • proof
  • proof