📽️BCRG Video Library
This section serves as your gateway to a curated collection of video resources dedicated to bonding curves.
Last updated
This section serves as your gateway to a curated collection of video resources dedicated to bonding curves.
Last updated
This is the first lecture of a four-part lecture series, by Mark Richardson, project lead at Carbon, delivers a comprehensive introduction to bonding curves. With a background in organic chemistry, Richardson offers a unique perspective, breaking down complex mathematical concepts into accessible explanations. The 100-minute lecture covers the seminal archetypes of bonding curves, their origins, and their evolution. Richardson delves into the equations governing liquidity provision, token issuance, and price discovery, highlighting the underlying principles and conventions. Through insightful examples and visualizations, he unravels the constant product curves, invariants, and logarithmic representations, setting the stage for more advanced iterations in subsequent lectures. You can also take a look at the slide deck here: Bonding Curve Fundamentals in Three Parts
Picking up from the foundational concepts introduced in the first lecture, part two of 4 part lecture series by Mark Richardson dives deeper into the mechanics of bonding curves. He delves into swap equations, explaining how they determine exchange rates within liquidity pools with multiple tokens. Richardson emphasizes that understanding bonding curves goes beyond swaps, treating them as portfolio management tools where token weights dictate the overall value composition. By unpacking the common misconceptions surrounding bonding curves, Richardson clarifies that their core principle lies not in the number of tokens within the pool, but rather in the total value each token contributes to the portfolio. This lecture equips viewers with a more nuanced understanding of bonding curves and their applications in a broader context. The slide deck for the presentation can be found here.
This video is the first in a three-part series delivered by Steffan Schuldenzucker, the co-founder and Head of Research at Gyroscope, a decentralized finance protocol focused on stablecoins and liquidity pools. In this lecture, Steffan provides an overview of Gyroscope and its components, including the Gyro Dollar (GYD) stablecoin, the Elliptic Concentrated Liquidity Pools (ECLPs), and the Dynamic stability mechanism. He delves into the design principles and motivation behind GYD, its diversified reserve system, and the bootstrapping pool used during launch. The highlight is a deep dive into the mathematical modeling and implementation of the dynamic stability mechanism, which autonomously adjusts redemption prices to maintain collateralization in case of market shocks. The slide deck presented during the study session can be found here.
In this third lecture of a three-part series, Steffen Schuldenzucker delves into the details of Elliptic Concentrated Liquidity Pools (ECLPs) and their application in Gyroscope. He explains how ECLPs leverage the concept of liquidity density to provide efficient and concentrated liquidity for various token pairs, including stablecoins and liquid staking tokens. Steffen demonstrates the practical implementation of ECLPs on the Gyroscope platform, showcasing their integration with Balancer's infrastructure. He also highlights the advantages of ECLPs, such as capital efficiency, enhanced fees for liquidity providers, and effective secondary market creation for stablecoins. This lecture offers insights into the innovative liquidity management techniques employed by Gyroscope.
This video is a recording of an online meetup organized by the Swiss chapter of the Global Token Engineering Community. The event focuses on exploring token bonding curves, the defi primitive in shaping token economics for crypto ecosystems like games and DeFi projects. The lineup includes industry experts who provide a comprehensive overview of bonding curves, including their historical context, beginner-friendly introductions, case studies, design archetypes, real-world applications, and scientific research perspectives. The video promises to offer a rich and insightful exploration of bonding curves, making it a valuable resource for anyone interested in understanding and leveraging bonding curves in their projects.
The video features our very own Jeff Emmett, Research Lead at Bonding Curve Research Group, discussing the potential of bonding curves beyond just DeFi applications. He explains how bonding curves can be used as a transparent monetary policy tool, addressing issues like liquidity in rural communities. The video delves into augmented bonding curves, which separate the collateral pool and funding pool, allowing for better alignment of incentives between projects and investors. Jeff also shares insights on generalizing bonding curve models, incorporating various mechanisms like entry and exit fees, taps, and revenue flows. The discussion covers the importance of building robust systems based on first principles and emphasizes the need to focus on community needs when developing these tools.
This video features the Zap Protocol team discussing bonding curves - a concept originally called "curation markets" by Simon de la Rouviere. They explain how bonding curves allow for continuous token generation and customizable pricing mechanisms, enabling users to easily experiment with token economics for their projects or assets. The core components of Zap Protocol are the bonding curve pricing mechanisms, oracles for providing data feeds, and the issuance of "sub-tokens" representing fractionalized ownership or access. This allows tokenizing a wide range of assets beyond just financial instruments. They highlight the key differences between bonding curves and automated market makers like Uniswap, as well as distinctions from oracle providers like Chainlink. The ability to implement custom Token Engineering like configurable supply curves, burning mechanisms, and incentive alignments is emphasized. Overall, it provides insights into using bonding curves as a flexible framework for creating and governing tokenized systems across various use cases beyond just DeFi.
This video features Paula Pettit from Linum Labs, a blockchain production house, discussing the theory and mathematical models behind bonding curve smart contracts. It provides a theoretical foundation for understanding bonding curves, the configurability of their pricing algorithms, and factors to evaluate when designing incentive-aligned, sustainable token models for applications beyond just financial use cases. Paula explores the different curve shapes bonding curves can take - linear, polynomial/exponential, sublinear/logarithmic, S-curves, and piecewise functions. She analyzes the incentives, investor dynamics, and intended use cases that each shape is suited for. The presentation also dives into the math behind calculating token prices, pool balances/collateral, and pricing new token mints while highlighting considerations like slippage. Paula advocates for S-curve models as best representing the funding needs of new projects.
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