cross-chain-pmm-lps/docs/09-simulation-params-sheet.md

First-pass simulation parameter sheet

Design-only consistent defaults for scenario-based simulation. Source: ../config/simulation-params.json.

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Default PMM (global)

Param	Value	Notes
k	0.1	Curvature; lower = tighter peg
feeBps	25	Fee in basis points
inventoryTargetUnits	1_000_000	I_T^* baseline
depthD0Units	500_000	D_0 for depth formula

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Per-chain parameters (11 design chains)

Chain	Name	Hub	k	feeBps	Inventory target	bridgeBeta	bridgeGamma
1	Ethereum Mainnet	USDC	0.1	25	1_000_000	0.001	50
10	Optimism	USDC	0.1	25	500_000	0.001	20
25	Cronos	USDT	0.12	30	300_000	0.002	15
56	BSC (BNB Chain)	USDT	0.1	25	800_000	0.001	10
100	Gnosis Chain	USDC	0.12	30	400_000	0.0015	15
137	Polygon	USDC	0.1	25	600_000	0.001	5
42161	Arbitrum One	USDC	0.1	25	500_000	0.001	15
8453	Base	USDC	0.1	25	400_000	0.001	10
43114	Avalanche C-Chain	USDC	0.11	28	350_000	0.0015	20
42220	Celo	USDC	0.12	30	300_000	0.002	15
1111	Wemix	USDT	0.12	30	250_000	0.002	20

• bridgeBeta: fractional bridge fee/slippage (β_ij).
• bridgeGammaUnits: fixed cost units (γ_ij) for gas + messaging + relayer (nominal).

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Scenario defaults

• Design routing stress test: Assume all 11 chains; one PMM per cW token vs hub; optional extra quote pools on chains 1, 56, 137.
• Topology sensitivity: Hub model = all chains; full-quote model = chains 1, 56, 137 only (compare capture, churn, intervention cost).

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Usage

1. Run design-only scenario sims using simulation-params.json (no addresses required).
2. When deployment data exists, fill deployment-status.json per chain (cwTokens, anchorAddresses, pmmPools, bridgeAvailable).
3. Iterate k/fee and inventory targets from sim outputs (router capture ratio, inventory churn, intervention cost). See 08-simulation-model.md §7.