We specialize in designing token economic models, including tokenomics audit and stress test model development, using proven methodologies and certified smart contract practices. One common reason DeFi protocols fail is poorly designed tokenomics. Projects copy mechanics from Curve or Olympus without adapting them to their audience. The result is pump-and-dump, liquidity drain, and pool bankruptcy. Over 5 years, we have conducted more than 30 audits and model developments for DeFi and NFT. Each model undergoes quantitative simulation and stress testing to withstand market shocks and game-theoretic attacks.
How to Achieve Nash Equilibrium in Tokenomics
Nash Equilibrium is a state where no participant can benefit by unilaterally changing their strategy. A good token model should lead to such equilibrium, so that rational behavior of each participant contributes to the protocol's prosperity. A bad model is when rational actions provoke a bank run on staking or governance attacks. By definition, Nash equilibrium is a fundamental concept in game theory applied in crypto-economics.
Mechanism Design: Fundamental Principles
Incentive Alignment
Each participant should be motivated to act in the protocol's interest. Liquidity providers earn fees proportional to their share. Token holders receive a share of revenue, voting rights, or buybacks. Validators and stakers earn block rewards and transaction fees. Developers receive grants from the treasury.
Value Flows
Users pay fees ↓ [Protocol Revenue] ↓ ├─ 50% → Liquidity Providers ├─ 30% → Treasury └─ 20% → Buyback & Burn This flow should be documented and quantitatively modeled.
Why Quantitative Simulation Matters?
An essential step before publishing the model is a spreadsheet simulation. It shows how circulating supply, treasury revenue, and break-even price change under different scenarios.
Break-even price simulation
| Parameter | Year 1 | Year 2 | Year 3 |
|---|---|---|---|
| Circulating Supply | 20M | 45M | 70M |
| Treasury Revenue | $500K | $2M | $8M |
| Buyback | $100K | $400K | $1.6M |
| Inflation rate | 40% | 20% | 10% |
| Break-even price | $0.10 | $0.08 | $0.06 |
Break-even price — the price at which staking or holding remains economically viable.
Value Capture Models
ve-Token (Vote-Escrowed)
Curve Finance introduced the veToken mechanism, which became an industry standard. A holder locks tokens for a period from 1 week to 4 years, receiving veCRV — a non-transferable token. veTokens grant boosted yield up to 2.5x (2.5 times better than the model without locking), governance votes, and a share of protocol fees. The longer the lock, the more veCRV. Upon expiration, CRV is returned, and veCRV is lost.
Implementation:
contract VotingEscrow { struct LockedBalance { int128 amount; uint256 end; } mapping(address => LockedBalance) public locked; function lockAmount(uint256 value, uint256 unlockTime) external { require(unlockTime > block.timestamp, "Can only lock until future"); token.transferFrom(msg.sender, address(this), value); locked[msg.sender] = LockedBalance({ amount: int128(int256(value)), end: (unlockTime / WEEK) * WEEK, }); emit Deposit(msg.sender, value, unlockTime); } function balanceOf(address addr) public view returns (uint256) { LockedBalance memory _locked = locked[addr]; if (block.timestamp >= _locked.end) return 0; uint256 remaining = _locked.end - block.timestamp; return uint256(int256(_locked.amount)) * remaining / MAX_LOCK_TIME; } } Bonding Curve
For tokens where the price is mathematically determined by a smart contract:
contract BondingCurveToken { uint256 public constant SLOPE = 1e12; function getBuyPrice(uint256 amount) public view returns (uint256) { uint256 currentSupply = totalSupply(); return SLOPE * (2 * currentSupply + amount) * amount / 2 / 1e18; } function buy(uint256 minTokens) external payable { uint256 tokensToMint = calculateTokensForETH(msg.value); require(tokensToMint >= minTokens, "Slippage"); _mint(msg.sender, tokensToMint); } function sell(uint256 tokenAmount, uint256 minETH) external { uint256 ethToReturn = getSellPrice(tokenAmount); require(ethToReturn >= minETH, "Slippage"); _burn(msg.sender, tokenAmount); payable(msg.sender).transfer(ethToReturn); } } Bonding curves are used in Pump.fun, Clanker, early Uniswap, and social tokens.
Protocol Owned Liquidity (POL)
OlympusDAO popularized POL through bonding: instead of a typical issue, a user sells LP tokens to the protocol at a discount, receiving tokens in return. The protocol becomes the owner of liquidity and does not rely on hired LPs. Problem: without stable revenue, POL turns into a Ponzi scheme. It works only with real income.
Comparison of Value Capture Models
| Model | Advantages | Risks |
|---|---|---|
| veToken | Resilience to speculators, boosted yield | Implementation complexity, liquidity lock-ups |
| Bonding Curve | Simplicity, automatic price | High volatility, unsuitable for large volumes |
| POL | Liquidity control | Requires constant revenue |
Game Theory: Nash Equilibrium Analysis
For each key situation, we determine the rational choice of each participant. Example — governance attack: cost of accumulating 51% of votes X, potential profit from attack Y. If Y > X — attack is rational. Defense: large supply, timelock, multisig veto. Example — liquidity exits: staking APY 10%/year. If price drops more than 10%, staking becomes unprofitable, causing exit. Defense: treasury-backed value, fee-based rewards.
Stress Testing
The model is tested under scenarios: bear market (price drops 90%), governance attack (cost calculation), LP exit (80% LPs leave), founder exit (founders sell tokens).
What's Included in Development
- Mechanism design and game-theoretic analysis
- Quantitative modeling in Excel/Google Sheets
- Smart contract writing and testing
- Formal verification using Echidna (fuzzing)
- Stress tests and gas optimization
- Final documentation for the team and investors
Estimated timeline: 2–4 weeks. Contact us to evaluate your project. Get a consultation on tokenomics and model audit.