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.
Weather has already been partly blamed for poor economic growth, in particular in December 2010 and January 2011. April 2012 is no different – the wettest April on record is said to have caused the worst performance in sales since March 2011.
Like-for-like sales fell by 3.3%, mainly through lower demand for clothes and shoes. Supermarkets saw an increased demand for warmer food items with the colder weather and demand for home products also increased, with analysts suggesting that people decided to re-decorate their houses rather than venture outside! This was further supported by sales of gardening equipment, which also fell. However, the weather is not always bad – in March, sales were higher than expected, with the unusually warm weather, but unfortunately for growth statistics, the boost in sales in March has been more than offset by the decline in sales in April. Furthermore, there are concerns that the March ‘heat-wave’ may have encouraged consumers to do their summer shopping already and hence summer sales may suffer.
The retail data for April 2012 must be considered carefully, as comparing this month’s sales with the same period last year will be very misleading. Last April, the UK was hit with the Royal Wedding, which did boost sales of many products – underlying sales growth was recorded at 5.2% for the month. However, whilst April sales for 2012 could hardly hope to compete with April sales for 2011, the downward trend is undoubtedly going to cause concern for the government. Helen Dickinson, Head of Retail at KPMG said:
“While May will certainly be brighter than April, the health of the retail sector continues on a downward trajectory.”
Whether or not sales do continue their downward trend depends on many factors, including government policy measures to boost growth and cut unemployment. However, one other variable that may influence the trend is the weather. Here’s hoping that the sun shines and people begin to spend!
Weaker retail sales, job surveys raise risk of longer slump Reuters, Olesya Dmitracova (9/5/12)
Wettest April ‘hits retail sales’ BBC News (9/5/12)
Retail sales slide in wettest April on record Telegraph (9/5/12)
April showers wash out retail sales Financial Times, Sarah O’Connor (9/5/12)
Retail sales slip back 1 per cent as fashion stores weather April showers Independent, James Thompson (9/5/12)
Questions
- Use a demand and supply diagram to illustrate the effects of the weather on equilibrium price and output.
- What other factors besides the weather affect retail sales?
- What government policy measures could be implemented to try to boost the retail sector?
- From the information you are told are there any sectors that surprise you in terms of whether sales have risen or fallen? Explain your answer in each case.
- With sales in April falling, what is the implication for a firm’s profits? What steps might a firm take in a bid to boost sales?
Original post (24/4/12)
The result of the first round of the French presidential elections on 22 April make it likely that François Hollande will be the new president.
M. Hollande can be described as an austerity sceptic. In other words, he questions the wisdom of trying to meet the target agreed by eurozone countries of reducing public-sector deficits to no more than 3% of GDP.
If elected, M. Hollande promises to adopt a more Keynesian stance of stimulating demand in order to prevent a slide into recession. This would mean a reversal of cuts and a growth, at least temporarily, of the public-sector deficit.
Currently France’s deficit is much higher than the 3% target. In 2010 it was 7.1%; in 2011 it had fallen somewhat to 5.2%. But it is set to rise in 2012, thanks to the slowing economy in France and most of the rest of Europe.
And it is not just in France that ‘austerity sceptics’ are on the ascendant. In the Netherlands the centre right government of Mark Rutte fell. He was unable to get his coalition partners to agree to sufficient cuts to achieve the 3% target. And yet, the Netherland’s deficit is considerably lower than most eurozone countries’. In 2012 it is projected to be just 4.6% of GDP.
So if doubts about the 3% target could lead to a change in policy in the Netherlands and France, what hope is there that the targets could be adhered to by countries with much larger deficits and where the pain of the cuts is already causing political turmoil?
The growth in austerity scepticism has spooked the markets. The day following M. Hollande’s first round victory and the fall of Mark Rutte’s government, stock markets around Europe plummeted and bond prices rose. The higher bond prices will make it even harder for governments to refinance maturing government debt. Take the case of France. As Robert Peston remarks in his article below:
According to IMF figures, 59% of France’s government debt is held overseas – which means that well over half of all lending to the French state is not motivated by sentimentality or patriotism in any way.
To put that figure into context, just 24.8% of UK general government debt is provided by foreigners.
Perhaps more relevantly, the French government has to borrow a colossal sum equivalent to 18.2% of GDP this year and 19.5% next year to finance debt that is maturing and the current deficit.
So what are the implications of the rise in austerity scepticism? Will it make deficits harder to finance? Will a collapse of confidence push the eurozone into a deep recession. Might the eurozone break apart? Or will a dose of Keynesian policies turn the tide and allow growth to resume, making it easier to service government debts? The following articles explore the issues?
Update (7/5/12)
François Hollande was indeed elected president on 6 May. The question now is to what extent he will be able to enact measures to simulate the economy. In his campaign he had talked about renegotiating the European treaty on budget discipline. Angela Merkel, responding to M. Hollande’s victory, said that the European fiscal treaty had been agreed and could not be renegotiated. Nevertheless, she said she was happy to consider new growth strategies that did not involve increased budget deficits.
Articles
François Hollande’s potential spending spree in France has caused concern in austerity Europe The Telegraph, Bruno Waterfield (23/4/12)
European turmoil, American collateral Guardian, Robin Wells (24/4/12)
Political risk returns to eurozone debt crisis Financial Times, Richard Milne (23/4/12)
The rise of Europe’s austerity foes Business Spectator, Karen Maley (23/3/12)
Europe: A crisis of the centre BBC News, Paul Mason (24/4/12)
Is Hollande enemy or prisoner of finance? BBC News, Robert Peston (23/4/12)
President Hollande and the IMF BBC News, Stephanie Flanders (23/4/12)
French Bond Yields Test Hollande’s Economic Fealty Bloomberg, Mark Deen and Anchalee Worrachate (24/4/12)
Dutch and French politics bring us back to reality BusinessDay (South Africa), Ron Derby (24/4/12)
Crisis topples governments like dominos Deutsche Welle, Bernd Riegert (24/4/12)
Eurozone leaders push for growth BBC News (25/4/12)
Additonal articles (after 6 May)
Francois Hollande to set France on new course after win BBC News (7/5/12)
Europe elections: German Chancellor Angela Merkel welcomes Francois Hollande but warns Greece The Telegraph, 7/5/12)
A Merkel-Hollande bust-up? Less likely than you might think Guardian, Philip Oltermann (7/5/12)
Merkel Rejects Stimulus in Challenge to Hollande BloombergBusinessweek, Patrick Donahue and Tony Czuczka (7/5/12)
François Hollande’s chemistry with Angela Merkel crucial for Europe Guardian, Ian Traynor (7/5/12)
Q&A: End of austerity? BBC News (7/5/12)
Austerity and the people’s verdict Guardian letters, Shanti Chakravarty and others (8/5/12)
Europe: The big debate BBC News, Stephanie Flanders (11/5/12)
Data
European Economy: Economic data Economic and Financial Affairs, European Commission
Eurozone Statistics ECB
French Economic Statistics INSEE, National Institute of Statistics and Economic Studies
Netherlands Statistics CBS, Statistics Netherlands
Questions
- Why do investors worry about the pursuit of Keynesian expansionary fiscal policies? Are their fears justified?
- How important is it for countries, such as the Netherlands, to retain their AAA credit rating?
- What determines bond yields?
- Do a search to find the policies advocated by M. Hollande. Assess the likely economic impact of these policies.
- What conditions are necessary for the pursuit of a tough austerity line to achieve economic growth in (a) the short term of 12 to 18 months; (b) the longer term of several years?
- Is an increased use of public-private partnerships a solution to finding a way of delivering greater infrastructure expenditure without increasing the short-term deficit?
Executive pay has been a contentious issue in recent years, with bankers’ bonuses stealing many headlines. Shareholders have been voicing their opinions on bonuses paid to top executives and the management teams at the banks in question are unlikely to be too pleased with the turn of events.
Nearly one third of shareholders from Credit Suisse opposed the bonuses that were set out to be paid to their executives; more than 50% of shareholders from Citigroup rejected the plan to pay their Chief Executive £9.2m for 2011 and, at the end of April, almost a third of shareholders at Barclays refused to support the bank’s pay awards. Barclay’s Chief Executive was to be paid £17.7m, but this revolt is just another indication of how the tide is turning against having to pay big bonuses to retain the best staff.
Bonuses are essentially there to reward good performance. For example, if a company or bank achieves higher than expected profits, you may support a bonus for the key individuals who achieved this. However, in the case of Barclays, the £17.7m package for the Chief Executive was to be paid, despite him saying that his bank’s performance in 2011 was ‘unacceptable’. I wonder what bonus might have been suggested had the performance been ‘acceptable’?
Revolts over big bonuses are not a new thing for 2012. Over the past few years, more and more resentment has been growing for the huge pay increases received by top managers. Many big companies around the world have seen shareholder revolts and this could mean the tide is beginning to turn on big bonuses. The following articles consider this contentious issue.
Credit Suisse and Barclays investors revolt over pay Reuters, Matt Scuffham and Katharina Bart (27/4/12)
Aviva rocked by shareholder rebellion over pay Guardian, Jill Treanor and Julia Kollewe (3/5/12)
Tide turns on bank bonuses as revolt hits UK Scotsman, Bill Jamieson and Tom Peterkin (28/4/12)
Barclays AGM: ‘We can’t pay zero bonuses, the consequences would be dire’ Telegraph, Harry Wilson (27/4/12)
Barclays shareholders have spoken. The overpaid must listen Guardian, Chuka Umunna (27/4/12)
Barclays suffers executive pay backlash Financial Times, Patrick Jenkins (27/4/12)
Aviva to review pay policy amid investor concerns Wall Street Journal, Jessica Hodgson and Vladimir Guevarra (30/4/12)
UBS faces shareholder opposition over executive pay New York Times, Julia Werdigier (3/5/12)
Low returns stir Europe-wide revolt on bankers’ pay Reuters, Steve Slater and Sinead Cruise (25/4/12)
Barclays targeted over bonuses Telegraph, Louise Peacock (9/4/12)
UBS gets stinging rebuke from shareholders on pay Reuters, Katharina Bart (3/5/12)
Vince Cable urges investors to keep up the pressure on executive pay Guardian, Jill Treanor (4/5/12)
Questions
- To what extent do you think high bonuses are the most important variable to a company in retaining the best staff?
- In The Telegraph article by Harry Wilson, Barclays’ Chairman is quoted as saying: ‘We can’t pay zero bonuses, the consequences would be dire’. What would be the consequences if Barclays did pay zero bonuses?
- What would be the consequence if all UK firms paid zero bonuses?
- How would smaller bonuses affect shareholder dividends?
- The Guardian article by Chuka Umunna says that ‘excessive pay and rewards for failure are bad for shareholders, the economy and society.’ Why is this?
- Should those receiving big bonuses be forced to give them up, if their company has under-performed?
- What are the main arguments for and against paying out big bonuses?
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?
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.
