12. Bonding Function Design

This chapter delves into the concept of bonding functions, which are essential for decentralized transactions and automation in token-based ecosystems. It explains how bonding functions ensure stability and efficiency by linking state variables through mathematical formulations. The chapter covers the basic definitions, typology, reference implementations, and implementation guidelines of bonding functions. It also discusses the importance of bonding functions in automated market makers (AMMs) and continuous token offerings (CTOs), providing practical examples and case studies. The text highlights the role of bonding functions in ensuring the success of crypto-token use cases and the need for careful consideration of their assumptions, mathematical formulations, parametrization, and operational repercussions. By the end of the chapter, readers will have a comprehensive understanding of bonding functions and their critical role in token-based ecosystems.