Tag: dominant strategy game

The negotiations between Greece and the ‘troika’ of creditors (the IMF, the European Commission and the ECB) have seen many twists and turns before breaking down on 26 June. Throughout, both sides have sought to give as little as possible while seeking a compromise. Both sides have claimed that their position is reasonable, even though a gulf has remained between them.

What has been playing out is a high-stakes game, where the optimum outcome for each side is quite different.

Greece seeks bailout terms that would allow it to achieve a smaller primary budget surplus (but still a surplus in the midst of a deep recession). The surplus would be achieved largely through tax rises on the wealthy rather than further cuts that would hit the poor hard. It is also seeking a substantial amount of debt forgiveness to make servicing the remaining debt possible.

The troika is seeking a larger budget surplus than the Greeks are willing to contemplate. This, it maintains, should be achieved largely through additional cuts in government expenditure, including further reductions in pensions and in public-sector wages.

Both sides used threats and promises as the negotiations became more and more acrimonious.

The troika threatened to withhold the final €7.2bn of the bailout necessary to pay the €1.6bn due to the IMF on 30 June, unless the Greeks accepted the terms of the austerity package put to them. The Greek Prime Minister, Alexis Tsipras, in rejecting the proposals, called a referendum on the package. This threatens the stability of the eurozone as a No vote, if it led to a Greek exit from the eurozone, could undermine confidence in monetary union. After all, if Greece could be forced out, other countries facing severe difficulties might also be forced out at some point in the future. Once a country leaves the eurozone, the monetary union becomes more like a system of pegged exchange rates. And pegged exchange rates are open to destabilising speculation at times of economic divergence.

A Greek exit from the euro (dubbed ‘Grexit’) is seen as undesirable by most Greeks and by most politicians in the rest of Europe. The optimum for both sides collectively would be a compromise, which saw more modest cuts by Greece and the eurozone remaining intact. By both sides seeking to maximise their own position, the Nash equilibrium is certainly not the best outcome.

But as long as the troika believes that the Greeks are likely to vote Yes to the proposed bailout terms, it still hopes to get the outcome that is best from its point of view – an outcome that would probably involve regime change. And as long as the Greek government hopes that a No vote will force the troika to think again and come back with less austere proposals, it still hopes to get the outcome that is best from its point of view. But the outcome of this game of ‘chicken’ could well be Grexit and a Nash equilibrium that neither side wants.

But while the endgame is being played out by politicians, people in Greece are suffering. Policies of severely depressing aggregate demand to turn a large budget deficit into a primary budget surplus have led to the economy shrinking by 26%, overall unemployment of 27% and youth unemployment of over 60%. The Greeks truly believe themselves to be stuck between a rock and a hard place.

The following articles look at the nature of the ‘game’ being played and at the effects on the Greek economy, both of the proposed austerity package proposed by the troika and Grexit. They also look at the knock-on effects for the eurozone, the EU and the global economy.

Can game theory explain the Greek debt crisis? BBC News Magazine, Marcus Miller (26/6/15)
Against the Grain: What Yanis Varoufakis can learn from a real game theory master – Nicola Sturgeon City A.M., Paul Ormerod (24/6/15)
John Nash’s Game Theory and Greece Bloomberg, Mohamed A. El-Erian (29/5/15)
The Greek crisis: that 1931 moment The Economist, Buttonwood column (23/6/15)
How game theory explains Grexit and may also predict Greek poll outcome The Conversation, Partha Gangopadhyay (1/7/15)
Greece debt crisis: Tsipras may resign if Greeks vote yes BBC News (30/6/15)
Greek debt crisis: Is Grexit inevitable? BBC News. Paul Kirby (29/6/15)
Existential threat to euro from Greek exit BBC News, Robert Peston (29/6/15)
How I would vote in the Greek referendum The Guardian, Joseph Stiglitz (29/6/15)
Greece in chaos: will Syriza’s last desperate gamble pay off? The Guardian, Paul Mason (29/6/15)
What happens if Greece defaults on its International Monetary Fund loans? The Telegraph, Mehreen Khan (30/6/15)
For Greece’s international creditors, regime change is the ultimate goal The Telegraph, Jeremy Warner (29/6/15)
Europe has suffered a reputational catastrophe in Greece The Telegraph, Ambrose Evans-Pritchard (2/7/15)


  1. What is meant by a primary budget surplus?
  2. What was the troika’s proposal on the table on the 26 June that was rejected by the Greek government?
  3. What was the Greek government’s proposal that was rejected by the troika?
  4. Explain the decision trees outlined in the first BBC article below.
  5. In terms of game theory, what form of game is being played?
  6. Are the negotiations between the Greek government and the troika a prisoners’ dilemma game? Explain why or why not.
  7. Does the game being played between the SNP and the Conservative government in the UK offer any useful lessons to both sides in the negotiations over Greece’s possible bailout and its terms?
  8. Does a No vote in the referendum on 5 July imply that Greece must leave the euro? Explain.
  9. What would be the effects of further austerity measures on aggregate demand? What benefits to the Greek economy could be achieved from such measures?
  10. Why may pegged exchange rates be regarded as the worst of both worlds – a single currency in a monetary union and floating exchange rates?

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!


Game Theory (also at) BBC Radio 4, In our Time, Melvyn Bragg (10/5/12) (Programme details)


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)


  1. What is game theory? How is mathematics relevant here?
  2. The discussion talks about co-operative and non co-operative games. What is the difference between them?
  3. In the game – walking down the street – draw out the matrix and show whether a Nash equilibrium exists.
  4. 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?
  5. Draw out the matrix for the problem of littering when it is non co-operative. Is there a Nash equilibrium?
  6. What is the Prisoner’s Dilemma? Give some examples of it. Explain why it is an example of a dominant strategy game.
  7. How is game theory relevant to broadcasting? Think about the role of auctions and also the information given in the Financial Times article.
  8. Explain how game theory is relevant to the Cold War.