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.
With countries around the globe struggling to recover from recession, many seem to believe that the answer lies in a growth in exports. But how can this be achieved? A simple solution is to lower the exchange rate.
Under a pegged exchange rate, the currency could be devalued. Alternatively, if the country’s inflation is lower than that of other countries, merely leaving the exchange rate pegged at its current level will bring about a real devaluation (in purchasing-power parity terms).
Under a floating exchange rate, one answer would be to lower interest rates. This would involve open market operations to support the lower rate and that would increase the money supply. But with central banks’ interest rates at virtually zero, it is not possible to lower them further. In such circumstances a solution would be a deliberate policy of increasing the money supply through “quantitative easing”. For example, the USA is considering a second round of quantitative easing (known as “QE2”). This would tend to push down the exchange rate of the dollar.
But stimulating exports through devaluation or depreciation is a zero-sum game globally. If currency A depreciates against currency B, currency B necessarily appreciates against currency A. Country A’s gain in exports to Country B are an increase in imports for Country B. It is logically impossible for every currency in the world to depreciate! Yet depreciation is exactly the policy being pursued by countries such as Japan, South Korea and Taiwan, all of which have directly intervened in the currency markets to lower their exchange rates. And, in each case of course, other countries’ currencies have an equivalent appreciation against them.
Economists and politicians in the USA argue that the dollar is fundamentally over valued against the Chinese yuan (or ‘renminbi’ as it is sometimes called). They are calling on China to revalue by far more than the 2% increase since June 2010. But what if China refuses to do so? On 29 September the House of Representatives passed a bill giving the executive branch the authority to impose a wide range of tariffs on imports from China. The bill was passed with a huge majority of 348 to 79.
So is this the start of a trade war? Many in the USA argue that China is already waging such a war by giving subsidies to a wide range of exports. And that war is hotting up. China has just announced that it is imposing traiffs ranging from 50% to 104% on various poultry imports from the USA. And if it is a trade war, will there be any winners? The following articles investigate.
Global recovery’s weakness raises possibility of trade war Guardian, Larry Elliott (4/10/10)
Tension mounts as China and US trade insults over currency Independent, Stephen Foley (1/10/10)
Is the world in a trade war? Time Magazine blogs: The Curious Capitalist, Michael Schuman (29/9/10)
Trade War Is Here – and We’ve Disarmed The Huffington Post, Robert Kuttner (3/10/10)
US House Passes Anti-China Trade War Bill GlobalResearch.ca, Barry Grey (1/10/10)
Currencies the key to market’s next move BBC News, Jamie Robertson (3/10/10)
A Message for China New York Times (30/9/10)
Taking On China New York Times, Paul Krugman (30/9/10)
Krugman Makes Two Powerful Arguments Against “Taking on China” Wall Street Pit, Scott Sumner (2/10/10)
Why the U.S. can’t win a trade war with China The Globe and Mail (Canada), Carl Mortished (4/10/10)
China-Japan trade war looms CTV News (Canada), Mark MacKinnon (23/9/10)
IMF chief’s warning of currency war ‘real threat’ BBC News, interview with Dominique Strauss-Khan, head of the IMF (7/10/10)
Could disputes over currency levels lead to a depression? BBC World Service, interview with Robert Zoellick (8/10/10)
China stands firm over yuan move BBC News, Andrew Walker (9/10/10)
What to do about China’s currency? Washington Post (10/10/10)
How to stop a currency war The Economist (14/10/10)
What’s the currency war about? BBC News, Laurence Knight (23/10/10)
Nominally cheap or really dear? The Economist (4/11/10)
Questions
- Why are competitive devaluations globally a zero sum game while global trade wars are a negative sum game?
- What are the arguments for and against using tariffs as a means of stimulating recovery?
- Why has quantitative easing so far had a more discernible effect on asset prices than on the real economy?
- Do a search on “Smoot-Hawley Tariff Act” of 1930 and describe its impact on the global economy in the 1930s. Are there any parallels today?
- How is it possible for massive trade surpluses and deficits to persist and yet for individual countries’ exchange rates and overall balance of payments to be in equilibrium?
- Are global trade imbalances widening, and if so why?
- What would determine the size of the effect on the US balance of trade of an appreciation of the yuan?
The happiness literature has established that, in the developed countries, increasing affluence has not increased well-being in recent decades. We seek an explanation for this in terms of conspicuous consumption, a phenomenon originally identified by Veblen.
This is from the abstract of an article in the Economic Journal, ‘Well-being and Affluence in the Presence of a Veblen Good’ by B. Curtis Eaton and Mukesh Eswaran. The authors argue that while increased affluence of the rich may bring a small amount of extra benefit to them, it actually reduces the well-being of others who crave after things that they cannot afford. As the first article below states:
[The authors] believe their work shows that as a nation becomes wealthier, consumption shifts increasingly to buying status symbols with no intrinsic value – such as lavish jewellery, designer clothes and luxury cars. But they warn: “These goods represent a ‘zero-sum game’ for society: they satisfy the owners, making them appear wealthy, but everyone else is left feeling worse off.”
… There is another downside. As people yearn for more status symbols they have less time or inclination for helping others. This, the authors argue, damages “community and trust”, which are vital to an economy because they ensure the smooth running of society.
But do the super wealthy generate more jobs and more prosperity? Do we need to pay vast salaries and bonuses as incentives for executives to take risks: to invest in new products and processes, and drive technological advance and productivity increases? According to the second article, ‘Too few of the world’s billionaires can claim to be honest-to-God productive entrepreneurs who have enlarged the economic pie by dint of hard work, imagination, risk taking and innovation – although thankfully a useful proportion do populate the list.’
So is the ever widening gap between rich and poor necessary if the economy is to grow? Or is it something of very little value to society, except, perhaps, for the super rich themselves?
Articles
More money makes society miserable, warns report The Observer, Jamie Doward (14/3/10)
Don’t celebrate these billionaires, be horrified by their existence The Observer, Will Hutton (14/3/10)
Data
For the latest Guardian survey of executive pay, see: Executive pay survey, 2009
For data on UK incomes and income distribution, see: Annual Survey of Hours and Earnings (ASHE) Office for National Statistics
For data on the distribution of wealth in the UK, see Distribution of Personal Wealth HM Revenue and Customs
Questions
- Explain what is meant by a ‘Veblen good’.
- What is meant by the diminishing marginal utility of income? What implications does this have for the effects of income distribution and redistribution on social well-being?
- Why may a rise in GDP make society worse off if it is accompanied by growing inequality?
- To what extent can marginal productivity theory explain the salaries and other rewards of the wealthy?
- Using the data below, examine the extent to which the gap between rich and poor is growing.
- Explain why increasing conspicuous consumption by the wealthy might be a zero-sum game for society or even a negative-sum game.
- What factors cause a rise in productivity?
- How might greater entrepreneurship be encouraged in the UK?
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.