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Capital Accounts (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Class
Dec. 31, 2013
Capital Accounts [Abstract]    
Number of classes of units offered by Fund 2gaifb_NumberOfClassesOfUnits  
Minimum initial subscription amount $ 10,000gaifb_MinimumInitialSubscriptionAmount  
Minimum cost for additional units 5,000gaifb_MinimumSubscriptionForAdditionalUnitsSubscribed  
Minimum notice period for units subscription 3 days  
Minimum notice period for units redemption 3 days  
Minimum amount for partial redemption request 10,000gaifb_MinimumAmountForPartialRedemptionRequest  
Minimum holding post partial redemption 10,000gaifb_MinimumHoldingPostPartialRedemption  
Period of remittance for redemption proceeds 15 days  
Capital Unit [Line Items]    
Redemption and conversion policies Class 2 Units are subject to a redemption fee equal to 2% of their Net Asset Value if redeemed within six months from their subscription date and a redemption fee equal to 1% of their Net Asset Value if redeemed more than six and less than twelve months from their subscription date.  
Fees paid to the manager for redemptions $ 332gaifb_FeesPaidToManagerForRedemptions $ 0gaifb_FeesPaidToManagerForRedemptions
Class 2 Units [Member]    
Capital Unit [Line Items]    
Maximum applicable redemption fee - holding period, description within six months from their subscription date  
Minimum applicable redemption fee - holding period, description more than six and less than twelve months from their subscription date  
Class 2 Units [Member] | Minimum [Member]    
Capital Unit [Line Items]    
Redemption fee (in hundredths) 1.00%gaifb_RedemptionPremiumFeeRate
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
 
Class 2 Units [Member] | Maximum [Member]    
Capital Unit [Line Items]    
Redemption fee (in hundredths) 2.00%gaifb_RedemptionPremiumFeeRate
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember