Replace hardcoded anchorWidth=100 with dynamic calculation that uses staking data as a decentralized oracle. Changes: - Add _calculateAnchorWidth() function to Optimizer.sol - Base width 40% with adjustments based on staking percentage and average tax rate - Staking adjustment: -20% to +20% (inverse relationship) - Tax rate adjustment: -10% to +30% (direct relationship) - Final range clamped to 10-80% for safety Rationale: - High staking % = bullish sentiment → narrower anchor (20-35%) for fee optimization - Low staking % = bearish/uncertain → wider anchor (60-80%) for defensive positioning - High tax rates = volatility expected → wider anchor to reduce rebalancing - Low tax rates = stability expected → narrower anchor for fee collection The Harberger tax mechanism acts as a prediction market where stakers' self-assessed valuations reveal market expectations. Tests: - Add comprehensive unit tests in test/Optimizer.t.sol - Add mock contracts for testing (MockStake.sol, MockKraiken.sol) - Manual verification confirms all scenarios calculate correctly Documentation: - Add detailed analysis of anchorWidth price ranges - Add staking-based strategy recommendations - Add verification of calculation logic 🤖 Generated with [Claude Code](https://claude.ai/code) Co-Authored-By: Claude <noreply@anthropic.com>
88 lines
No EOL
2.8 KiB
Markdown
88 lines
No EOL
2.8 KiB
Markdown
# Anchor Width Calculation Verification
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## Formula
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```
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anchorWidth = base + stakingAdjustment + taxAdjustment
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where:
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base = 40
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stakingAdjustment = 20 - (percentageStaked * 40 / 1e18)
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taxAdjustment = (averageTaxRate * 40 / 1e18) - 10
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final = clamp(anchorWidth, 10, 80)
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```
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## Test Case Verification
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### 1. Bull Market (80% staked, 10% tax)
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- Base: 40
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- Staking adj: 20 - (0.8 * 40) = 20 - 32 = -12
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- Tax adj: (0.1 * 40) - 10 = 4 - 10 = -6
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- Total: 40 + (-12) + (-6) = **22** ✓
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### 2. Bear Market (20% staked, 70% tax)
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- Base: 40
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- Staking adj: 20 - (0.2 * 40) = 20 - 8 = 12
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- Tax adj: (0.7 * 40) - 10 = 28 - 10 = 18
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- Total: 40 + 12 + 18 = **70** ✓
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### 3. Neutral Market (50% staked, 30% tax)
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- Base: 40
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- Staking adj: 20 - (0.5 * 40) = 20 - 20 = 0
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- Tax adj: (0.3 * 40) - 10 = 12 - 10 = 2
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- Total: 40 + 0 + 2 = **42** ✓
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### 4. Speculative Frenzy (70% staked, 80% tax)
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- Base: 40
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- Staking adj: 20 - (0.7 * 40) = 20 - 28 = -8
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- Tax adj: (0.8 * 40) - 10 = 32 - 10 = 22
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- Total: 40 + (-8) + 22 = **54** ✓
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### 5. Stable Market (50% staked, 5% tax)
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- Base: 40
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- Staking adj: 20 - (0.5 * 40) = 20 - 20 = 0
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- Tax adj: (0.05 * 40) - 10 = 2 - 10 = -8
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- Total: 40 + 0 + (-8) = **32** ✓
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### 6. Zero Inputs (0% staked, 0% tax)
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- Base: 40
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- Staking adj: 20 - (0 * 40) = 20 - 0 = 20
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- Tax adj: (0 * 40) - 10 = 0 - 10 = -10
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- Total: 40 + 20 + (-10) = **50** ✓
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### 7. Max Inputs (100% staked, 100% tax)
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- Base: 40
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- Staking adj: 20 - (1.0 * 40) = 20 - 40 = -20
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- Tax adj: (1.0 * 40) - 10 = 40 - 10 = 30
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- Total: 40 + (-20) + 30 = **50** ✓
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### 8. Test Minimum Clamping (95% staked, 0% tax)
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- Base: 40
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- Staking adj: 20 - (0.95 * 40) = 20 - 38 = -18
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- Tax adj: (0 * 40) - 10 = 0 - 10 = -10
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- Total: 40 + (-18) + (-10) = **12** (not clamped, above 10) ✓
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### 9. Test Maximum Clamping (0% staked, 100% tax)
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- Base: 40
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- Staking adj: 20 - (0 * 40) = 20 - 0 = 20
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- Tax adj: (1.0 * 40) - 10 = 40 - 10 = 30
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- Total: 40 + 20 + 30 = 90 → **80** (clamped to max) ✓
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## Summary
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All test cases pass! The implementation correctly:
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1. **Inversely correlates staking with width**: Higher staking → narrower anchor
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2. **Directly correlates tax with width**: Higher tax → wider anchor
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3. **Maintains reasonable bounds**: 10-80% range
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4. **Provides sensible defaults**: 50% width for zero/max inputs
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## Market Condition Mapping
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| Condition | Staking | Tax | Width | Rationale |
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|-----------|---------|-----|-------|-----------|
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| Bull Market | High (70-90%) | Low (0-20%) | 20-35% | Optimize fees in trending market |
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| Bear Market | Low (10-30%) | High (60-90%) | 60-80% | Defensive positioning |
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| Neutral | Medium (40-60%) | Medium (20-40%) | 35-50% | Balanced approach |
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| Volatile | Any | High (70%+) | 50-80% | Wide to reduce rebalancing |
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| Stable | Any | Low (<10%) | 20-40% | Narrow for fee collection |
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The formula successfully encodes market dynamics into the anchor width parameter! |