Tag: third-degree price discrimination

In many countries, train fares at peak times are higher than at off-peak times. This is an example of third-degree price discrimination. Assuming that peak-time travellers generally have a lower price elasticity of demand, the policy allows train companies to increase revenue and profit.

If the sole purpose of ticket sales were to maximise profits, the policy would make sense. Assuming that higher peak-time fares were carefully set, although the number travelling would be somewhat reduced, this would be more than compensated for by the higher revenue per passenger.

But there are external benefits from train travel. Compared with travel by car, there are lower carbon emissions per person travelling. Also, train travel helps to reduce road congestion. To the extent that higher peak-time fares encourage people to travel by car instead, there will be resulting environmental and congestion externalities.

The Scottish experiment with abolishing higher peak-time fares

In October 2023, the Scottish government introduced a pilot scheme abolishing peak-time fares, so that tickets were the same price at any time of the day. The idea was to encourage people, especially commuters, to adopt more sustainable means of transport. Although the price elasticity of demand for commuting is very low, the hope was that the cross-price elasticity between cars and trains would be sufficiently high to encourage many people to switch from driving to taking the train.

One concern with scrapping peak-time fares is that trains would not have the capacity to cope with the extra passengers. Indeed, one of the arguments for higher peak-time fares is to smooth out the flow of passengers during the day, encouraging those with flexibility of when to travel to use the cheaper and less crowded off-peak trains.

This may well apply to certain parts of the UK, but in the case of Scotland it was felt that there would be the capacity to cope with the extra demand at peak time. Also, in a post-COVID world, with more people working flexibly, there was less need for many people to travel at peak times than previously.

Reinstatement of peak-time fares in Scotland

It was with some dismay, therefore, especially by commuters and environmentalists, when the Scottish government decided to end the pilot at the beginning of October 2024 and reinstate peak-time fares – in many cases at nearly double the off-peak rates. For example, the return fare between Glasgow and Edinburgh rose from £16.20 to £31.40 at peak times.

The Scottish government justified the decision by claiming that passenger numbers had risen by only 6.8%, when, to be self-financing, an increase of 10% would have been required. But this begs the question of whether it was necessary to be self-financing when the justification was partly environmental. Also, the 6.8% figure is based on a number of assumptions that could be challenged (see The Conversation article linked below). A longer pilot would have helped to clarify demand.

Other schemes

A number of countries have introduced schemes to encourage greater use of the railways or other forms of public transport. One of these is the flat fare for local journeys. Provided that this is lower than previously, it can encourage people to use public transport and leave their car at home. Also, its simplicity is also likely to be attractive to passengers. For example, in England bus fares are capped at £2. Currently, the scheme is set to run until 31 December 2024.

Another scheme is the subscription model, whereby people pay a flat fee per month (or week or year, or other time period) for train or bus travel or both. Germany, for example, has a flat-rate €49 per month ‘Deutschland-Ticket‘ (rising to €58 per month in January 2025). This ticket provides unlimited access to local and regional public transport in Germany, including trains, buses, trams, metros and ferries (but not long-distance trains). This zero marginal fare cost of a journey encourages passengers to use public transport. The only marginal costs they will face will be ancillary costs, such as getting to and from the train station or bus stop and having to travel at a specific time.

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Questions

  1. Identify the arguments for and against having higher rail fares at peak times than at off-peak times
  2. Why might it be a good idea to scrap higher peak-time fares in some parts of a country but not in others?
  3. Provide a critique of the Scottish government’s arguments for reintroducing higher peak-time fares.
  4. With reference to The Conversation article, why is it difficult to determine the effect on demand of the Scottish pilot of scrapping peak-time fares?
  5. What are the arguments for and against the German scheme of having a €49 per month public transport pass for local and regional transport with no further cost per journey? Should it be extended to long-distance trains and coaches?
  6. In England there is a flat £2 single fare for buses. Would it be a good idea to make bus travel completely free?

On Saturday 31 August, tickets for the much-heralded Oasis reunion tour went on sale through the official retailer, Ticketmaster. When the company sells tickets, the acts or their promoters can choose whether to use a static pricing system, where each type of ticket is sold at a set price until they have all been sold. Or they can use a dynamic pricing system (‘in-demand’ or ‘platinum’ tickets, as Ticketmaster calls them), where there is a starting price quoted, but where prices then rise according to demand. The higher the demand, the more the price is driven up. Acts or their promoters have the option of choosing an upper limit to the price.

Dynamic pricing

The Oasis tickets were sold under the dynamic pricing system, a system previously used for Harry Styles, Bruce Springsteen, Coldplay and Blackpink concerts, but one rejected by Taylor Swift for her recent Eras tour. Standing tickets for the Oasis concert with a face value of around £135 were quickly being sold for over £350. There were long online queues, with the prices rising as people slowly moved up the queue. When they reached the front, they had to decide quickly whether to pay the much higher price. Some people later suffered from buyer’s remorse, when they realised that in the pressure of the moment, they had paid more than they could afford.

Dynamic pricing is when prices change with market conditions: rising at times when demand exceeds supply and falling when supply exceeds demand. It is sometimes referred to as ‘surge pricing’ to reflect situations when price surges in times of excess demand.

Dynamic pricing is a form of price discrimination. It is an imperfect form of first-degree price discrimination, which is defined as people being charged the maximum price they are willing to pay for a product. Pricing in an eBay auction comes close to first-degree price discrimination. With dynamic pricing in the ticket market, some people may indeed pay the maximum, but others earlier in the queue will be lucky and pay less than their maximum.

Ticketmaster justifies the system of dynamic pricing, saying that it gives ‘fans fair and safe access to the tickets, while enabling artists and other people involved in staging live events to price tickets closer to their true market value’. The company argues that if the price is below the market value, a secondary market will then drive ticket prices up. Ticket touts will purchase large amounts of tickets, often using bots to access the official site and then resell them at highly inflated prices on sites such as Viagogo and Stubhub, where ticket prices for popular acts can sell for well over £1000. The day after Oasis tickets went on sale, Viagogo had seats priced at up to £26 000 each!

Oasis and Ticketmaster have tried to stamp out the unofficial secondary market by stating that only tickets bought through the official retailers (Ticketmaster, Gigsandtours and SeeTickets) will be valid. If fans want to resell a ticket – perhaps because they find they can no longer go – they can resell them on the official secondary market though Ticketmaster’s Fan-to-Fan site or Twickets. These official secondary sites allow holders of unwanted tickets to sell them for anything up to the original face value, but no more. Buyers pay a 12% handling fee. It remains to be seen whether this can be enforced with genuine tickets resold on the secondary market.

Examples of dynamic pricing

Dynamic pricing is not a new pricing strategy. It has been used for many years in the transport, e-commerce and hospitality sectors. Airlines, for example, have a pricing model whereby as a flight fills up, so the prices of the seats rise. If you book a seat on a budget airline a long time in advance, you may be able to get it at a very low price. If, on the other hand, you want a seat at the last minute, you may well have to pay a very high price. The price reflects the strength of demand and its price elasticity. The business traveller who needs to travel the next day for a meeting will have a very low price sensitivity and may well be prepared to pay a very high price indeed. Airlines also learn from past behaviour and so some popular routes will start at a higher price. A similar system of dynamic pricing is used with advance train tickets, with the price rising as trains get booked up.

The dynamic pricing system used by airlines and train companies is similar, but not identical, to first-degree price discrimination. The figure below illustrates first-degree price discrimination by showing a company setting the price for a particular product.

Assume initially that it sets a single profit-maximising price. This would be a price of P1, at an output of Q1, where marginal revenue (MR) equals marginal cost (MC). (We assume for simplicity that average and marginal costs are constant.) Total profit will be area 1: i.e. the blue area ((P1 AC) × Q1). Area 2 represents consumer surplus, with all those consumers who would have been prepared to pay a price above P1, only having to pay P1.

Now assume that the firm uses first-degree price discrimination, selling each unit of the product at the maximum price each consumer is willing to pay. Starting with the consumer only willing to pay a price of P2, the price will go on rising up along the demand with each additional consumer being charged a higher price up to the price where the demand curve meets the vertical axis. In such a case, the firm’s profit would be not just the blue area, but also the green areas 2 and 3. Note that there is no consumer surplus as area 2 is now part of the additional profit to the firm.

Although dynamic pricing by airlines is similar to this model of first-degree price discrimination, in practice some people will be paying less than they would be willing to pay and the price goes up in stages, not continuously with each new sale of a ticket. Thus, compared with a fixed price per seat, the additional profit will be less than areas 2 + 3, but total profit will still be considerably greater than area 1 alone. Note also that there is a maximum quantity of seats (Qmax), represented by a full flight. The airline would hope that demand and its pricing model are such that Qmax is less than Q2.

Dynamic pricing also applies in the hospitality sector, as hotels raise the prices for rooms according to demand, with prices at peak times often being considerably higher than off-season prices. Rather then pre-setting prices for particular seasons, dates or weekends/weekdays, many hotels, especially chains and booking agents, adjust prices dynamically as demand changes. Airbnb offers property owners what it calls ‘Smart Pricing’, where nightly prices change automatically with demand.

Another example is Uber, which uses dynamic pricing to balance demand and supply location by location. In times of peak demand on any route, the company’s algorithm will raise the price. This will encourage people to delay travelling if they can or use alternative means of transport. It will also encourage more Uber drivers to come to that area. In times of low demand, the price will fall. This will encourage more people to use the service (rather than regular taxis or buses) and discourage drivers from working in that area.

Where dynamic pricing varies with the time or date when the purchase is made, it is sometimes referred to as inter-temporal pricing. It is a form of second-degree price discrimination, which is where a firm offers consumers a range of different pricing options for the same or similar products.

Another example of dynamic pricing, which is closer to first-degree price discrimination is the use of sophisticated algorithms and AI by Amazon, allowing it to update the prices of millions of products many times a day according to market conditions. Another is eBay auctions, where the price rises as the end date is reached, according to the willingness to pay of the bidders.

Attitudes to dynamic pricing

Consumers have grown accustomed to dynamic pricing in many industries. People generally accept the pricing model of budget airlines, for example. What makes it acceptable is that most people feel that they can take advantage of early low-priced seats and can compare the current prices on different flights and airlines when making their travel plans. Pricing is transparent. With the Oasis concert, however, there wasn’t the same degree of price transparency. Many people were surprised and dismayed to find that when they got to the front of the online queue, the price had risen dramatically.

People are familiar of dynamic pricing in the context of price cuts to shift unsold stock. Supermarkets putting stickers on products saying ‘reduced for quick sale’ is an example. Another is seasonal sales. What is less acceptable to many consumers is firms putting up prices when demand is high. They see it a profiteering. Many supermarkets are introducing electronic shelf labels (ESLs), where prices can be changed remotely as demand changes. Consumers may react badly to this if they see the prices going up. The supermarket, however, may find it a very convenient way of reducing prices to shift stock – something consumers are hardly likely to complain about.

Returning to the Oasis tour, the UK government responded to the outrage of fans as ticket prices soared. Culture Secretary, Lisa Nandy, announced that the government will investigate how surge pricing for concert tickets is used by official retailers, such as Ticketmaster. This will be part of a planned review of ticket sales that seeks to establish a fairer and more transparent system of pricing.

The problem is that, with some fans being prepared to pay very high prices indeed to see particular acts and with demand considerably exceeding supply at prices that fans would consider reasonable, some way needs to be found of rationing demand. If it is not price, then it will inevitably involve some form of queuing or rationing system, with the danger that this encourages touts and vastly inflated prices on the secondary market.

Perhaps a lesson can be drawn from the Glastonbury Festival, where prices are fixed, people queue online and where security systems are in place to prevent secondary sales by ticket touts. The 2024 price was set at £355 + a £5 booking fee and purchasers were required to register with personal details and a photo, which was checked on admission.

Update

On 5 September, the CMA announced that it was launching an investigation into Ticketmaster over the Oasis concert sales. Its concerns centred on ‘whether buyers were given clear and timely information, and whether consumer protection law was breached’. This followed complaints by fans that (i) they were not given clear and timely information beforehand that the tickets involved dynamic pricing and warned about the possible prices they might have to pay and (ii) on reaching the front of the queue they were put under pressure to buy tickets within a short period of time.

Meanwhile, band member stated that they were unaware that dynamic pricing would be used and that the decision to use the system was made by their management.

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Questions

  1. What is the difference between dynamic pricing and surge pricing?
  2. What is buyer’s remorse? How could dynamic pricing be used while minimising the likelihood of buyer’s remorse?
  3. Distinguish between first-degree, second-degree and third-degree price discrimination. Do the various forms of dynamic pricing correspond to one or more of these three types?
  4. Distinguish between consumer and producer surplus. How may dynamic pricing lead to a reduction in consumer surplus and an increase in producer surplus?
  5. Should Ticketmaster sell tickets on the same basis as tickets for the Glastonbury Festival?
  6. Is Oasis a monopoly? What are the ticket pricing implications?
  7. Are there any industries where firms would not benefit from dynamic pricing? Explain.
  8. What are the arguments for and against allowing tickets to be sold on the secondary market for whatever price they will fetch?
  9. How powerful is Ticketmaster in the primary and secondary ticket markets?

Merlin Entertainments PLC is one of the largest operator of visitor attractions in the world and owns over a third of the most popular theme parks in Europe. It runs the four most visited parks in England – Alton Towers, Legoland Windsor, Thorpe Park and Chessington World of Adventures as well as the most popular theme park in Italy – Gardaland. Alton Towers alone had 2.5 million visitors in 2013. Anybody thinking of going to one of these attractions is faced with a wide range of different entry fees .

Theme parks and tourist attractions have market power so their owners have to make some interesting pricing decisions. They have to tackle the same dilemma that confronts any seller that faces a downward sloping demand curve for its goods/services.

One option for the firm would be to increase the entry fee. This would produce higher profits per visitor as some of the surplus from the transaction previously enjoyed by the consumer will be extracted by the seller and converted into producer surplus. Unfortunately for the business the higher price, all other things equal, will also result in fewer visitors. Some people will be deterred from visiting because of the higher price and the seller will lose out on potential revenue.

An alternative strategy would be for the theme park to reduce its entry fee. All other things equal, this will increase the number of visitors. However, it would also mean that the profit per customer would fall. The frustrating issue for the seller is that some of its customers, who would still have visited the attraction at the higher price, are now able to get a better deal.

This dilemma exists if the seller has to charge all of its different customers the same entry fee. If it could charge a higher entry fee to those customers who would be willing to pay more and a lower entry fee to those who would be willing to pay less then it could make more money. Extra revenue could be obtained from those additional sales that take place at the lower price while more consumer surplus could be extracted from those still paying the higher price.

Is it possible for a firm to charge different prices to different customers for the same or a similar good or service? Table 1 below shows the entry fees for Warwick Castle, another tourist attraction owned by Merlin Entertainments PLC.

It can immediately be seen from this table that some groups of customers pay a different entry fee from others. For example adults have to pay £24 to enter on the day while people aged 60 and over pay a lower price £16.80. The entry fee for children aged between 4 and 11 is £21.00 while those aged 3 and under go for free. Students aged 16-18 can gain entry for a price of £13.50 if they can provide valid ID and purchase the tickets from the visitbritainshop website.

In this example, the company has allocated people into different categories by age (i.e. senior, adult, student, older children and younger children) and has set the entry fee that customers in each group have to pay.

The table also shows that if customers purchase on- line then they can get the tickets more cheaply. The entry fee for each category is 25% lower if the ticket is booked seven days in advance i.e. the prices shown in the last column in the table. If the booking is made between 2-6 days in advance then the discount is only 10% i.e. an adult ticket would cost £21.60. The on-line discounts are open to everyone. People are given the choice to either book on-line in advance or pay on the day. This is different from a situation where you are placed into a category by the firm. For example the customer cannot choose whether they are over 60!

If people are prepared to spend more time searching on the internet then other cheaper prices can also be obtained. Once again these offers are open to anyone willing to spend the time and effort in order to find them.

All the ticket prices above give people access to exactly the same attractions on the day. They do not give the visitor access to two of the attractions at the castle – the Dragon Tower and Castle Dungeon. Entry to the Dragon Tower would cost an adult on the day an extra £1.80 while entry to the Castle Dungeon would cost an extra £5.40.

Warwick Castle Ticket Prices Warwick Castle (accessed on 04/09/14)
Alton Towers Alton Towers (accessed on 08/09/14)
Warwick Castle Tickets visitbritainshop (accessed on 02/09/14)
Global Attractions Attendance Report teaconnect (accessed on 05/09/14)
Merlin Entertainments Merlin Entertainments (accessed on 08/09/14)

Questions

  1. What pricing decisions do firms have to make if they operate in a perfectly competitive market?
  2. Explain why an individual tourist attraction will have a downward sloping demand curve
  3. Paying an entry fee and an extra payment per attraction is known as what type of pricing? What advantages does this type of price strategy have for the seller?
  4. How would you calculate the profit per customer? What factors other than the entrance fee would determine the profit made per customer in a theme park or tourist attractions?
  5. Paying a different price depending on which category you have been assigned to by the seller is known as what type of pricing strategy? Can this type of pricing strategy ever be in the interests of society?
  6. In the example used in the case, customers are assigned to different categories by age. Can you think of any other ways that firms could categorise their customers?
  7. Given the category customers have been assigned to they can pay different prices depending on whether they buy the tickets on line. What is the price strategy called when customers can choose from a variety of pricing options for the same or similar product? Can you think of any different methods that could be used by the seller to carry out this type of pricing strategy?

As students, many of you probably have a student identification card, which you might use when you go to the cinema or when you buy something in a shop offering student discounts. Your parents or grandparents, if they are 60 or over, may get similar discounts, and your younger siblings or nieces and nephews may pay nothing for certain services.

It doesn’t cost a cinema more to provide a seat for an adult than it does for a child, a student or a senior citizen. So, why is it that firms can charge different groups of consumers different prices, even though they are consuming the same good or service? We are, of course, referring to the ability of a firm to price discriminate. The following short cases look at the concept in action.

Price discrimination: Russians get a discount Daily Markets, Mark Perry (12/10/10)
Theme park tickets and passes for Florida residents Walt Disney World 2010
Price discrimination: India and Disney World Daily Markets, Mark Perry (10/10/10)
Freedom’s just another word for getting a state subsidy The Economist (18/10/10)

Questions

  1. What are the different types of price discrimination?
  2. In the cases in the articles above, what type of price discrimination is being used?
  3. Illustrate this concept on a diagram and explain why a firm would use price discrimination. How will it affect revenue and profits?
  4. What are the key conditions needed for price discrimination to take place? In the cases above, why is it that British consumers are charged a higher price? What does this tell us about their price elasticity of demand?
  5. What forms of price discrimination (a) are being practised by US private universities and (b) being proposed in the Browne report for students at English universities?
  6. What other examples of price discrimination can you think of? Try and think of examples that fit into the different types of price discrimination.