RDP 2012-03: ATM Fees, Pricing and Consumer Behaviour: An Analysis of ATM Network Reform in Australia Equation (C-2)

∂ N i ∂ f i = N ( f i + σ j 2 l − 1 2 ) , ∂ N i ∂ f j = N ( 1 2 − f j + σ i 2 l ) , ∂ N i ∂ σ i = N ( 1 2 − f j − σ i 2 l ) , ∂ N i ∂ σ j = N ( f i + σ j 2 l − 1 2 ) , ∂ N i ∂ F i = − N , ∂ N i ∂ F j = N . MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=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@9F42@