# Technical Appendix

This document provides detailed technical analysis and implementation details for the KRAIKEN protocol's core innovations. For a high-level overview, see [README.md](README.md).

## Asymmetric Slippage Strategy

### The Core Innovation
The three-position liquidity structure creates an "unfair advantage" against traditional arbitrageurs by forcing asymmetric costs on round-trip trades.

### Trade-Recenter-Reverse Attack Pattern
1. **Setup**: Trader identifies predictable rebalancing trigger
2. **Exploit**: Large trade → triggers recenter() → reverse trade at new configuration
3. **Expected Profit**: Trader profits from predictable liquidity movements
4. **Reality**: Asymmetric slippage makes this unprofitable

### Protection Mechanism
**Position Architecture:**
- **ANCHOR**: Shallow liquidity (~current price) = high slippage, fast price movement
- **DISCOVERY**: Medium liquidity (borders anchor) = fee capture zone
- **FLOOR**: Deep liquidity (VWAP-adjusted) = low slippage, price memory

**Attack Protection Logic:**
1. **First Trade**: Price moves quickly through shallow ANCHOR → hits deep DISCOVERY/FLOOR liquidity (high slippage cost)
2. **Recenter**: Rebalances all positions around new price
3. **Reverse Trade**: Price moves through new shallow ANCHOR → hits opposite deep liquidity (high slippage cost again)
4. **Result**: Attacker pays high slippage twice, making round-trip unprofitable

### Mathematical Foundation
The slippage differential between ANCHOR (shallow) and FLOOR (deep) positions ensures that any round-trip trade pays disproportionate costs, protecting the protocol's liquidity from exploitation.

## Dormant Whale Protection

### The Problem
**Dormant Whale Attack Pattern:**
1. **Accumulation**: Whale buys large amounts early at cheap prices
2. **Dormancy**: Waits extended periods while protocol accumulates volume and prices rise
3. **Exploitation**: Attempts to sell at inflated prices when market conditions are favorable
4. **Impact**: Can crash token price using historical price advantages

### VWAP-Based Solution
**Core Mechanism:**
- **Historical Price Memory**: VWAP tracker maintains volume-weighted average pricing across time
- **FLOOR Position Integration**: Only FLOOR position uses VWAP for price memory (ANCHOR/DISCOVERY use current tick)
- **Compression Algorithm**: Data compression (max 1000x) preserves historical significance while managing storage

### Double-Overflow Analysis
**Stress Testing Results:**
Double-overflow scenarios requiring >1000x compression would need:
- Single transactions >10,000 ETH (unrealistic for any individual)
- Token prices >$4.3 billion (exceeds global wealth)
- **Conclusion**: 1000x compression limit provides adequate protection against realistic scenarios

### Implementation Details
**FLOOR Position Calculation (Unified Formula):**
```
floorTick = max(scarcityTick, mirrorTick, clampTick) toward KRK-cheap side
```

Three signals determine the floor:
- **scarcityTick**: derived from `vwapX96` and ETH/supply ratio. Dominates when ETH is scarce.
- **mirrorTick**: `currentTick + |adjustedVwapTick - currentTick|` on KRK-cheap side. Reflects VWAP distance symmetrically. During sell pressure the mirror distance grows, resisting floor walkdown.
- **clampTick**: minimum distance from anchor edge. `anchorSpacing = 200 + (34 × 20 × AW / 100)` ticks.

**VWAP Mirror Defense:**
- During sell-heavy trading, the current tick drops but VWAP stays higher, so mirror distance *grows* — floor naturally resists being walked down.
- CI controls mirror distance through `getAdjustedVWAP(CI)` with no magic numbers. CI=0% is safest (proven zero effect on fee revenue).

**Directional VWAP Recording:**
- VWAP only records on ETH inflow (buys into the LM), preventing attackers from diluting VWAP with sells.
- `shouldRecordVWAP` compares `lastRecenterTick` to current tick to detect direction.

**Protection Mechanism:**
- VWAP provides "eternal memory" of historical trading activity
- Compression algorithm ensures memory persists even under extreme volume
- FLOOR position acts as price anchor preventing manipulation of historical price disparities

## Harberger Tax Sentiment Oracle

### Mechanism Design
**Continuous Auction Model:**
- Stakers self-assign tax rates on their positions
- Higher tax rates signal higher confidence in token value
- Positions can be "snatched" by paying higher tax rates
- Creates prediction market for token value through tax rate signals

### Data Collection
**Sentiment Metrics:**
- **Percentage Staked**: What portion of total supply is staked
- **Average Tax Rate**: Weighted average of all staking tax rates
- **Tax Rate Distribution**: Spread of tax rates across stakers

### OptimizerV3 Integration
**Direct 2D Binary Mapping (no intermediate score):**

OptimizerV3 reads `percentageStaked` and `averageTaxRate` from the Stake contract and maps them directly to one of two configurations:

- `staked ≤ 91%` → always **BEAR**: AS=30%, AW=100, CI=0, DD=0.3e18
- `staked > 91%` → **BULL** if `deltaS³ × effIdx / 20 < 50`: AS=100%, AW=20, CI=0, DD=1e18

The binary step avoids the AW 40-80 kill zone where intermediate parameters are exploitable. Bull requires >91% staked with low enough tax; any decline snaps to bear instantly.

**Parameter Safety (proven via 1050-combo 4D sweep):**
- CI=0% always (zero effect on fee revenue, maximum protection)
- Fee revenue is parameter-independent (~1.5 ETH/cycle across all combos)
- Safety comes entirely from the AS×AW configuration

### Economic Incentives
- **Tax Revenue**: Funds protocol operations and incentivizes participation
- **Staking Benefits**: Percentage ownership of total supply (rather than fixed token amounts)
- **Prediction Market**: Tax rates create market-based sentiment signals
- **Liquidity Optimization**: Sentiment data feeds into binary bear/bull parameter selection

## Position Dependencies Technical Details

### Execution Order: ANCHOR → DISCOVERY → FLOOR

**Economic Dependencies:**
1. **ANCHOR → DISCOVERY**: Discovery liquidity amount depends on KRAIKEN minted by ANCHOR position
2. **ANCHOR + DISCOVERY → FLOOR**: FLOOR must defend against maximum selling pressure from final circulating supply
3. **VWAP Exclusivity**: Only FLOOR uses VWAP for historical price memory; ANCHOR/DISCOVERY use current tick

**Design Rationale:**
- **ANCHOR**: Immediate price discovery and fast market response
- **DISCOVERY**: Fee capture from trades that move through ANCHOR
- **FLOOR**: Historical price anchoring and whale protection

### Recentering Trigger
**Open Access Design:**
- Any address can call `recenter()` when conditions are met
- Incentivizes community participation in protocol maintenance
- Removes single point of failure from automated systems
- Trigger conditions based on price movement thresholds

### Critical Success Metrics
**Dominant Position Requirement:**
- LiquidityManager must trade majority of token supply
- If position becomes non-dominant, project fails
- Analysis tools in `/onchain/analysis/` monitor this metric
- Growth mechanism depends on maintaining liquidity dominance

## Implementation References

### Key Contracts
- **LiquidityManager.sol**: Core three-position strategy implementation
- **VWAPTracker.sol**: Historical price memory and compression algorithm
- **OptimizerV3.sol**: Sentiment-driven binary bear/bull parameter selection (UUPS upgradeable)
- **Stake.sol**: Harberger tax mechanism and sentiment data collection

### Analysis Tools
- **`/onchain/analysis/`**: Growth mechanism demonstrations and scenario testing
- **Fuzzing Tests**: Stress testing of position strategies and edge cases
- **Scenario Visualization**: Tools for understanding liquidity dynamics

### Related Documentation
- **README.md**: Project overview
- **AGENTS.md**: Development and operational guidance
- **`/onchain/analysis/README.md`**: Detailed analysis tool usage
