Introduction
While bonding curves aren’t new—originating in 2016–17 from Bancor and Simon de la Rouviere’s work—their applications in continuous crypto-economics remain underexplored. This guide demystifies bonding curves, continuous tokens, and revenue-based models, with real-world examples like FairMint’s digital securities and Truebit’s utility token architecture.
Key Terminologies
1. Bonding Curve
A mathematical function defining the relationship between an asset’s price and its supply. Visually, it’s represented as a continuous curve where price adjusts dynamically with supply changes.
👉 Explore bonding curve mechanics
2. Continuous Tokens
Fungible tokens priced via bonding curves, offering:
- Deterministic pricing
- Instant liquidity (via collateral reserves)
- Limitless supply (theoretically, though bounded implementations exist)
3. Bancor Bonding Curve
Derived from the Bancor Formula, this curve uses a fixed reserve weight (F) to maintain a ratio between market cap and reserve balance. Initial parameters:
- Initial supply (S₀)
- Initial reserve (R₀) or price (P₀)
- Reserve weight (F)
Example: For S₀ = 1, F = 0.5, the price adjusts sharply with supply changes.
4. Revenue-Based Bonding Curve (RBBC)
Features two curves:
- Minting curve (Pₘᵢₙₜ): Higher price for new tokens.
- Retiring curve (Pᵣₑₜᵢᵣₑ): Lower liquidation returns.
The difference generates revenue for continuous organizations.
Scalar RBBC: Linear relationship between curves (e.g., Truebit’s M2B ratio of 8).
Applications
1. Securities (FairMint)
- Continuous SAFEs (CAFEs): Equity tokens minted via RBBCs.
- Transparent pricing: Investors buy/sell shares dynamically.
👉 Learn how FairMint leverages RBBCs
2. Utility Tokens (Truebit)
- $TRU Token: Deflationary, ETH-pegged utility token.
- Revenue model: 8:1 M2B ratio ensures protocol sustainability.
FAQ
Q1: How does a bonding curve ensure liquidity?
A: Collateral reserves back instant liquidation, eliminating reliance on external liquidity providers.
Q2: Can token supply be capped?
A: Yes. While most bonding curves assume limitless supply, bounded intervals are possible.
Q3: What’s the difference between Bancor and RBBCs?
A: Bancor uses a single curve; RBBCs separate minting/burning for revenue generation.
Conclusion
Bonding curves power automated, transparent markets—from securities to utility tokens. As crypto-economics evolve, expect more innovations like FairMint’s CAFEs and Truebit’s scalar RBBCs.
Further Reading:
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