RDP 2012-03: ATM Fees, Pricing and Consumer Behaviour: An Analysis of ATM Network Reform in Australia Equation (C-3)

∂ ρ i i ∂ f i = 1 2 l , ∂ ρ i i ∂ f j = 0 , ∂ ρ i i ∂ σ i = 0 , ∂ ρ i i ∂ σ j = 1 2 l , ∂ ρ i i ∂ F i = 0 , ∂ ρ i i ∂ F j = 0 , ∂ ρ i j ∂ f i = − 1 2 l , ∂ ρ i j ∂ f j = 0 , ∂ ρ i j ∂ σ i = 0 , ∂ ρ i j ∂ σ j = − 1 2 l , ∂ ρ i j ∂ F i = 0 , ∂ ρ i j ∂ F j = 0. MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=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@C7EB@