T2 1.2: Price Discrimination Flashcards
Define price discrimination?
Selling different units of output at different prices
What is first degree price discrimination?
(Perfect PD) Where different units cost different prices, each unit is sold to highest bidder at maximum WTP tf all surplus goes to producer
Is 1st PD pareto efficient and why?
Yes - PS is at max, cant add to CS without taking away from CS (see diagram and learn it)
What is 2nd degree PD?
Non-linear pricing, the price you pay depends on how much you buy
Problem for firms engaging in 2nd PD? and the solution?
Different groups of consumers (high and low demand) should be charged different prices but firm can’t distinguish between them.
Solution is to design ‘price-quantity packages’ so consumers self select themselves into the appropriate packages
Using the diagrams in my notes, explain how the firm increases its PS using 2nd degree PD? How does this help the firm?
Firm offers x20 quantity at price A+C, forgoing area B, but inducing high demand consumers to self select themselves into high demand package (consumer surplus on both packages is B tf indifferent, by pricing just below A+C they should choose high demand package)
The firm will now only forgo B rather than B+C!
Explain how the firm can improve itself further from the original 2nd degree price discrimination scenario?
By reducing the output targeted at the low demand consumer group, the price they receive on that group falls, but the price they receive on the high demand group increases, tf they lose the triangle but gain the green (see diagram!!!)
For each marginal unit the firm decreases for LD group they lose the LHS of the red triangle, but gain the LHS of the green parallelogram tf TRADEOFF. They continue this tradeoff until equal (see diagram and notes)
What is 3rd degree PD?
When each group of people faces a different price, but prices don’t differ by quantity
4 assumptions for 3rd PD analysis?
- 2 identifiable groups who get different prices
- Inverse D curve p1(y1) & p2(y2) (=AR curve, price function of Q)
- No resale opportunities (preventing arbitrage at cost lower than additional profit)
- Cost of producing items is equal at c(y1+y2)
What must the optimal solution satisfy for 3rd PD and why? What does this therefore imply? (2)
1) MR1(y1)=MC(y1+y2)
2) MR(y2)=MC(y1+y2)
since MC=MR in both markets or producer would change their production level
implies MR1(y1)=MR2(y2)
Show that the lowest PED is charged the highest price for 3rd degree PD?
see notes for proof
See and learn
linear demand 3rd degree pd in notes
If we cannot charge different prices to different groups of consumers, how do we analyse it?
We must sum the demand curves
See
Special case in notes
2 other pricing strategies?
- Bundling
- Two-part tariffs