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Liquidity Deployment
Liquidity being deployed to exchanges will depend on various factors to ensure proper collateralization in pools as well balanced pairing of assets.
If liquidity is provided to Joe/USDC pair , here Joe is the Base asset and USDC is the Quote asset .

Parameters that determine the deployment logic

1) Quantity of asset in PCA reserve - Do not deploy more than 3x (Alpha) the quantity available in reserve.
2) Base asset in pool available to pair with quote asset - If quote asset is not sufficient to pair with all base assets , it will be proportionately distributed across pools.
3) DLQ staked in the pool - DLQ staked + Reserve of Joe = LP Sushi . Which means at least 2/3rd of the value of asset in pool should be staked by LDs.

Equations and logic.

1) Based on qty asset in PCA -
  • (ABC_inPCA) = QTY of asset in Reserve .
  • (Alpha) = Reserve multiple
  • (ABC_LP) = QTY of asset in pool .
  • (ABC_deployable) = QTY of asset that can be deployed .
IF ABCinPCA×AlphaABCLPTHEN LPABCdeployable1=ABCLPIF ABCinPCA × AlphaABCLPTHEN LPABCdeployable1 =ABCinPCA×AlphaIF \space ABC_{inPCA} \times Alpha \geq ABC_{LP} \newline THEN \space LP_{ABC_{deployable1}} = ABC_{LP} \newline IF \space ABC_{inPCA} \space \times \space Alpha \leq ABC_{LP} \newline THEN \space LP_{ABC_{deployable1}} \space = ABC_{inPCA} \times Alpha
2) Based on quote asset available to pair -
If the qty of quote asset available to pair isn't enough , the quote asset will be pro rata distributed across the pools.
IF LPquotedeployable1SumAssetsdeployable1THEN Quotepairable=1IF LPquotedeployable1<SumAssetsdeployable1THEN Quotepairable=LPquotedeployable1 ÷SumAssetsdeployable1LPABCdeployable1×Quotepairable=LPABCdeployable2IF \space LPquote_{deployable1} \geq SumAssets_{deployable1} \newline THEN \space Quote_{pairable} = 1 \newline IF \space LPquote_{deployable1} < SumAssets_{deployable1}\newline THEN \space Quote_{pairable}= LPquote_{deployable1}\space \div SumAssets_{deployable1}\newline \rightarrow LP_{ABC_{deployable1}} \times Quote_{pairable}= LP_{ABC_{deployable2}}
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