RDP 2012-03: ATM Fees, Pricing and Consumer Behaviour: An Analysis of ATM Network Reform in Australia Equation (C-4)

L i = π i + λ i ( u i − F i ) + λ j ( u j − F j ) = N i ( F i + ( f i − τ ) ρ i j − c ρ i i − m ) + N j ( σ i + τ − c ) ρ j i + λ i ( x − l 2 + ( l − ( f i + σ j ) ) 2 4 l − F i ) + λ j ( x − l 2 + ( l − ( f j + σ i ) ) 2 4 l − F j ) . MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=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@ADE2@