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Monopoly and Quality Welfare analysis
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Quality, profits and welfare Higher quality is valued by consumers How much of this extra surplus can the monopolist extract? If not all, monopoly may under-provide quality Surprisingly, the opposite could also happen: over-provision Illustrate basic ideas with examples.
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Example 1. Quality too low High Quality Low Quality h31 m21 l11 Sell L quality: p=1, profits =3 Sell H quality: p=2, profits = 4 Consumer surplus: 0 in first case, 1 in second case. Welfare change = 2 – extra cost Change in profits = 1 – extra cost If 1<extra cost<2, monopolist will choose L which is socially inefficient Key property: Quality increases consumer heterogeneity
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Example 2. Quality too high High quality Low quality h33 l32 Low quality p=2, profits=4 High quality p=3, profits=6 Increase in total surplus = 1 – extra cost Increase in profits = 2 – extra cost If 1< extra cost < 2, monopoly chooses H and socially optimal is L. Key property: quality makes market more homogeneous useful as an instrument to extract consumer surplus.
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Example 3. Welfare Gain > increase in profits q pLpL pHpH Increase in profits = q x (p H – p L ) Increase in surplus > q x (p H – p L ) Quality valued more by consumers with high reservation values Quality makes consumers more heterogeneous (increases spread in reservation values)
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Example 4. Welfare gain > increase in profits qLqL pLpL p H = Example: p L =1-q p H =1-q/a, a >1 L =1/4, CS L =1/8 H = ¼ a, CS H = 1/8 a Increase in surplus = 3/8 (a-1) Increase in profits = ¼ (a-1) q H = aq L Quality valued more by consumers with low reservation values – market expands
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Example 5. Welfare gain < increase in profits q pLpL pHpH Quality valued more by consumers with low reservation values – no change in quantity Increase in profits = q x (p H – p L ) Increase in surplus < q x (p H – p L ) Quality makes consumers more homogeneous (reduces spread in reservation values)
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Conclusions Quality increases consumer surplus Monopoly may under-provide when it cannot appropriate all the extra CS Very likely when quality increases heterogeneity Could also occur when quality increases total sales Monopoly may over-provide, when quality reduces heterogeneity: value as an instrument to extract CS
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