Homogeneity and Price Discrimination

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4 Terms

1

How to find Homogeneity? Multiply by λ

Multiply all inputs by factor of λ

Factorise out λp completely and function is homogenous to degree p

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2

How to find homogeneity using Euler’s Theorem?

if z = f(x,y) is homogenous to degree h then x ∂z/∂x + y ∂z/∂y = hz

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3

When can a firm price discriminate?

Must have monopoly power

Must be able to identify and separate out different consumers

Consumers must have different elasticities of demand

No leakages between markets

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4

How to profit maximise in multiple markets with one single product?

∂π/∂Q1 = MR1 - MC1 = 0 and ∂π/∂Q2 = MR2 - MC2 = 0

As there is only one product MR1 = MR2 = MC

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