John Von Neumann was a mathematician and one of his many accolades was applying mathematics and his observations of traditional games to create a new discipline – Game Theory. This involves a mathematical approach to decision making whereby different strategies can be assessed. It a tool that not only can be used in Economics, but also can be applied to a broad range of areas and fields of study.
Just as I arrived at work, I was listening to Radio 4 and heard the introduction to the programme In our Time. This one in particular caught my attention because of the name mentioned – Von Neumann, and after arriving in my office I then listened to the discussions surrounding game theory.
The main link is to the discussion from BBC Radio 4, led by Melvyn Bragg, with guests: Ian Stewart, a Professor of Mathematics from the University of Warwick; Andrew Colman, a Professor of Psychology at the University of Leicester and Richard Bradley, a Professor of Philosophy from the LSE. I’ll keep it brief and simply say enjoy!
Podcast
Game Theory (also at) BBC Radio 4, In our Time, Melvyn Bragg (10/5/12) (Programme details)
Articles
Game Theory cannot predict broadcasting future Financial Times, Andrew Edgecliffe-Johnson (4/5/12)
Game Theory, in the real world Phys Org (2/5/12)
Questions
- What is game theory? How is mathematics relevant here?
- The discussion talks about co-operative and non co-operative games. What is the difference between them?
- In the game – walking down the street – draw out the matrix and show whether a Nash equilibrium exists.
- Draw out the matrix for the game ‘Rock, Paper, Scissors’. How can game theory be applied to this game? What is the best strategy to win this game? Can there be a winner?
- Draw out the matrix for the problem of littering when it is non co-operative. Is there a Nash equilibrium?
- What is the Prisoner’s Dilemma? Give some examples of it. Explain why it is an example of a dominant strategy game.
- How is game theory relevant to broadcasting? Think about the role of auctions and also the information given in the Financial Times article.
- Explain how game theory is relevant to the Cold War.
The trendy US fashion retailer Abercrombie & Fitch entered the UK in 2007 with the opening of a flagship store close to Savile Row in London. Located in the upmarket Mayfair area of London, Savile Row is famous for its traditional men’s tailors.
Recently Abercrombie & Fitch decided to go one step further by opening a childrenswear store directly on Savile Row. This move upset the local retailers and was met with protests.
This was just the latest in a history of controversy surrounding Abercrombie & Fitch which has included a product boycott and a lawsuit concerning employment issues. Should all this bad publicity be a concern for the company?
We expect tastes to be one of the key determinants of demand. If taste for a company’s product declines, its demand curve shifts to the left. This means it can sell less at any given price and consequently will have a knock-on effect on profits. Somewhat surprisingly, therefore, the PR expert, Mark Borkowski, quoted in the Guardian article above, suggests that all this adverse publicity may have in fact helped the company because:
“…the focus is on the brand. They’ve got a very keen identity of who they are, what they want, who they want to consume their products, and they’ve stuck to it.”
It is also clear that the company is very aware of the importance of protecting its brand – even going as far as paying television actors NOT to wear their clothes! Abercrombie & Fitch has also been reluctant to cut its prices during the current recession, perhaps because of a fear of harming its brand.
Abercrombie & Fitch with its ‘crappy clothes’ threatens staid Savile Row Observer, Euan Ferguson (11/03/12)
Savile Row cannot live in the past Guardian, Charlie Porter (24/04/12)
Sorry chaps, Abercrombie & Fitch simply doesn’t fit Savile Row Guardian, Gustav Temple (24/04/12)
Savile unrest … the tailors who want to stop Abercrombie & Fitch London Evening Standard, Josh Sims (27/04/12)
Questions
- What are the distinctive features of the Abercrombie & Fitch brand?
- What are the key features of competition in this industry?
- Why might Abercrombie & Fitch be keen to open up a store on Savile Row?
- Why might the local tailors object to Abercrombie & Fitch opening a store nearby?
- Why do you think negative publicity appears to have little effect on Abercrombie & Fitch?
- Why do you think television coverage could harm the Abercrombie & Fitch brand?
Oligopoly: it’s a complex market structure and although closer to the monopoly end of the ‘Market Structure Spectrum’, it can still be a highly competitive market. The characteristics are well-documented and key to the degree of competition within any oligopoly is the number of competitors and extent to which there are barriers to entry.
The greater the barriers and the fewer the competitors the greater the power the established firms have. This can then spell trouble for pricing and hence for consumers. The following articles are just some examples of the oligopolies that exist around the world and some of the benefits and problems that accompany them.
Articles
Oligopoly of PSU oil cos reason for high ATF prices The Indian Express, Smita Aggarwal (30/4/12)
Group energy buying hits the UK headlines Spend Matters UK/Europe(18/1/11)
German cartel office probes petrol companies on pricing Fox Business (4/4/12)
Gov’t unveils steps to lower fuel prices Yonhap News (19/4/12)
How big banks threaten our economy Wall Street Journal, Warren Stephens (29/4/12)
UK Governance: Call for Whitehall to simplify the landscape for SME suppliers to win more government contracts The Information Daily (26/4/12)
Other blogs
Pumping up the price: fuel cartels in Germany April 2012
Energy profit margins up by over 700% October 2011
Every basket helps October 2011
The art of oligopoly December 2010
Questions
- What are the assumptions of an oligopolistic market structure?
- Consider (a) the energy sector and (b) the banking sector. To what extent does each market conform with the assumptions of an oligopoly?
- In the ‘Spend Matters’ article, a group of people in a Lincolnshire village formed a local buying consortium to negotiate deals for heating oil. What could we refer to this as?
- To what extent is an oligopoly in the public interest?
- Explain how barriers to entry in oligopolies affect the competitiveness and efficiency of a market.
- Illustrate how an oligopolistic market structure can fix prices and hence exploit consumers.
- How have the actions of the big oil companies in both the UK and Germany been against independent retailers and the consumer interest?
- What action can governments take to break up oligopolies? Will it always be effective?
Vodafone has offered to purchase Cable & Wireless Worldwide (C&WW), with Vodafone paying 38p per share, making this deal worth £1.044bn.
This deal, however, was rejected by C&WW’s largest shareholder, Orbis, within hours, as the price was not high enough, despite the 38p per share offer representing a 92% premium to the level of C&WW’s share price before the bid interest emerged in February. A spokesperson for Orbis said:
‘Although we believe the C&WW management team has handled the bid process responsibly, we have declined to give an irrevocable undertaking or letter of intent to the support the transaction.’
However, with the only other interested party, Tata Communications withdrawing, Vodafone was the only remaining bidder. As such, many suggest that this deal is a good one for the struggling business, despite Orbis’ claim that it under-values the business.
Adding a UK fixed-line cable to Vodafone’s business will increase its capacity, which is much needed at this moment in time with the added demand for mobile data from increased Smartphone usage. Cost savings are also expected from this merger, as the company will no longer have to pay to other companies to lease its fixed-line capacity.
The bid from Vodafone did help C&WW’s trading performance, which had been worsening for some time and so some shareholders will be glad of the bid. Its shares were up following this deal and it went to the top of the FTSE250. Vodafone will also benefit, as this merger would make it the second largest combined fixed and mobile line operator in the UK.
The trends of these two companies in recent years have been very much in contrast. C&WW had been the larger of the two firms up until 1999, yet the price Vodafone would now pay for the company represents a mere 1% of its current market value. The following articles consider this merger.
Vodafone bids for Cable and Wireless: The end of the line The Economist (24/4/12)
Questor shares tip: Vodafone deal looks goodThe Telegraph, Garry White(23/4/12)
Vodafone puts paid to once-revered C&WW Financial Times, Daniel Thomas (23/4/12)
Top CWW shareholder rejects sale to Vodafone Independent, Gideon Spanier (24/4/12)
CWW accepting Vodafone’s £1bn bid is a good call The Telegraph, Alistair Osborne (23/4/12)
Vodafone agrees £1bn deal for Cable & Wireless Worldwide Guardian, Julia Kollewe and Juliette Garside (23/4/12)
Vodafone agrees £1bn takeover of C&W Worldwide BBC News (23/4/12)
Questions
- Into which market structure would you place the above industry? Explain your answer.
- Which factors have caused C&WW’s worsening position? In each case, explain whether they are internal or external influences.
- What type of merger is that between C&WW and Vodafone?
- Explain some of the motives behind this merger.
- Which factors have caused these two companies to have such different trading performances in the last 15 years?
- Why was the announcement of the bid followed by better share prices for C&WW?
- Is there any reason why the competition authorities should be concerned about this merger?
Fuel prices at German petrol stations fluctuate wildly – by up to €0.14 per day. They are also often changed several times per day. In morning rush hours, when demand is less elastic, prices may shoot up, only to drop again once people are at work.
But is this a sign of healthy competition? Critics claim the opposite: that it’s a sign of the oligopoly power of the oil companies. More than two-thirds of Germany’s petrol stations are franchises of five big oil companies: BP/Aral, Esso, Jet, Shell and Total. These five companies directly control the prices at the pumps. According to the Der Spiegel article below, oil companies:
have sophisticated computer systems that allow them to precisely control, right down to the minute, when they increase their prices nationwide, and by how many cents. The prices are not set by the individual franchise holders. Instead, they are centrally controlled – for example, in the town of Bochum, at the headquarters of Aral, a BP subsidiary that is the market leader in Germany.
The price manager merely presses a button and price signs immediately change at all 2,391 Aral service stations in Germany. All filling stations are electronically linked with Bochum via a dedicated network called Rosi. After each price increase, they watch closely to see how the competition reacts and whether they follow suit.
… If the competitor’s prices are significantly cheaper, the Aral franchise holder can, with the help of Rosi, apply for permission to reduce the prices again.
Not only do the oil companies control the prices at the pumps, but they observe closely, via their franchise holders, the actions of their rivals, and then respond in ways which critics claim is collusive rather than competitive. The problem has become worse with the introduction of incentives to the franchise owners of additional commission if they exceed the price of their competitors within the local area. This has the effect of ratcheting prices up.
The sophisticated pricing strategies, with prices adjusted frequently according to price elasticity of demand, are making it very hard for independent operators to compete.
In response, the German Cartel Office has launched an investigation into the oil companies and in particular into the issues of collusion and frequent price changes and how these impact on independent operators.
German anti-trust authority probes alleged fuel cartel Deutsche Welle (4/4/12)
German antitrust watchdog to probe oil majors-paper Reuters, Ludwig Burger (3/4/12)
Oil giants probed over claims they rigged petrol prices in Germany The Telegraph, Nathalie Thomas (4/4/12)
BP, Exxon, Esso, Jet, Shell and Total in Germany Price Fix Probe International Business Times (9/4/12)
German cartel office probes petrol company pricing MarketWatch (4/4/12)
Kartellverfahren gegen fünf Mineralölkonzerne (in German) Frankfurter Allgemeine Zeitung, Helmut Bünder and Manfred Schäfers (4/4/12)
Crazy gas prices driving German consumers mad msnbc, Andy Eckardt (3/4/12)
Big Oil’s Strategy for Jacking Up Gas Prices Der Spiegel, Alexander Jung and Alexander Neubacher (5/4/12)
Questions
- What the features of the German road fuel oligopoly?
- Why does the price elasticity of demand for petrol and diesel vary with the time of day? Is it likely to vary from one week to another and, if so, why?
- In what ways have the actions of the big five oil companies been against the interests of the independent petrol station operators?
- Consider the alternatives open to the German Federal Cartel Office for making the market more competitive.
- Would it be a good idea for the big five German companies to be forced to adopt the Western Australian system of price changes?
John Von Neumann was a mathematician and one of his many accolades was applying mathematics and his observations of traditional games to create a new discipline – Game Theory. This involves a mathematical approach to decision making whereby different strategies can be assessed. It a tool that not only can be used in Economics, but also can be applied to a broad range of areas and fields of study.
