Tag: game theory

Together with Formula 1, tennis is the other sport I love – and my favourite player by far is Rafa!

We often apply game theory to various sports and consider how players, teams and individuals can think strategically. One of the big debates in tennis is ‘who is the best ever’ and I argue that Nadal is the greatest, based on a huge range of metrics.

I saw this article in the Economist, providing analysis and comparison between some of the best tennis players. It shows how we can use economic thinking, probability, game theory and analysis to come to something of an answer about who is the greatest, considering the various players’ runs to the title in the Grand Slams. Of course the reason I’m posting this is because according to the Economist, Rafa is the best! And the reasoning is very sound. Enjoy. I certainly did.

Sorry Roger: Rafael Nadal is not just the King of Clay The Economist (13/09/17)

Questions

  1. What is game theory and why is it useful?
  2. How does the rating system aim to measure the skill of a tennis champion?
  3. In this particular scenario, why is it important to use probabilities?
  4. We can use game theory to think about penalty shoot outs and whether footballers play to the Nash equilibrium. Can we also use the Nash equilibrium when thinking about tennis? (Think about the serve!)

As an avid sport’s fan, Sky Sports and Eurosport are must haves for me! In the days leading up to the end of January, it was a rather tense time in my house with the prospect of Eurosport being removed from anyone who was a Sky TV subscriber. Thankfully the threat has now gone and tranquility returns, but what was going on behind the scenes?

Whether you have Sky TV, BT, Virgin or any other, we generally take it for granted that we can pick and choose the channels we want, pay our subscription to our provider and happily watch our favourite shows. However, behind the scenes there is a web of deals. While Sky own many channels, such as Sky Sports; BT own others and there are a range of other companies that own the rest. Some companies pay Sky for their channels to be shown, while Sky pays other companies for access to their channels.

One such company is Discovery, which owns a range of channels including TLC, Eurosport, DMAX and Animal planet. Discovery then sells these channels to providers, such as Sky and Virgin, who pay a price for access. The problem was that Sky and Discovery had failed to reach an agreement for these channels and as the deadline of 31st January 2017 loomed, it became increasingly possible that Discovery would simply remove its channels from Sky. This would mean that Sky customers would no longer have access to these channels, while customers with other providers would continue to watch them, as companies such as Virgin still had an agreement in place.

The issue was money. Hours before the deadline, a deal was finally reached such that Discovery will now keep its programmes on Sky for ‘years to come’. Discovery has indicated the final deal was better than had originally been proposed, while Sky indicate that the deal accepted by Discovery was the same as had previously been offered! Although no details of the financial agreement have been released, it seems likely that either Sky increased the price they were willing to pay or Discovery lowered the price it was asking for. Both companies stood to lose if the dispute was not settled, but it’s interesting to consider which company was at more risk. Following the announcement that a deal had been struck, Discovery shares rose by 2.5 per cent, while Sky’s share remained unchanged.

While Sky said that viewing figures on Discovery’s channels had been falling and that it had been over-paying for years, it seems likely that if a deal had not been reached, millions of Sky customers may have considered switching to other providers, who were still able to show Discovery channels. Although Sky has been looking to cut its costs and one way is to cut the price it pays for channels, failure to reach an agreement may have cost it a significant sum in lost revenue, as channels such as Eurosport are hugely popular.

Discovery claimed that the price Sky was paying them was not fair and that it was paying them less for its channels that it did 10 years ago. Susanna Dinnage, Discovery’s Managing Director in the UK said:

“We believe Sky is using what we consider to be its dominant market position to further its own commercial interest over those of viewers and independent broadcasters. The vitality of independent broadcasters like Discovery and plurality in TV is under threat.”

Sky claimed that Discovery was demanding close to £1bn for its programmes and that given that these channels were losing viewers, this price was unrealistic. A spokesman said:

“Despite our best efforts to reach a sensible agreement, we, like many other platforms and broadcasters across Europe, have found the price expectations for the Discovery portfolio to be completely unrealistic. Discovery’s portfolio of channels includes many which are linear-only where viewing is falling …

Sky has a strong track record of understanding the value of the content we acquire on behalf of our customers, and as a result we’ve taken the decision not to renew this contract on the terms offered …

We have been overpaying Discovery for years and are not going to anymore. We will now move to redeploy the same amount of money into content we know our customers value.”

Here we have a classic case of two firms in negotiation; each with a lot to lose, but both wanting the best outcome. There are hundreds of channels with millions of programmes and hence it is a competitive market. So why was it that Discovery could pose such a threat to the huge broadcaster? The following articles consider the dispute and the eleventh hour agreement.

Discovery strikes deal to keep channels on Sky BBC News (1/2/17)
Discovery channel strikes last-minute deal with Sky to stay on TV, saving Animal Planet and Eurosport Independent, Aatif Sulleyman (1/2/17)
Eurosport stays o Sky after late deal is struck with hours to spare between broadcasting giant and Discovery Mail Online, Kieran Gill (1/2/17)
Discovery averts UK blackout with Sky in last-minute deal Bloomberg, Rebecca Penty, Joe Mayes and Gerry Smith (1/2/17)
Is Sky losing Discovery? Eurosport, Animal Planet and other fan favourite set to stay International Business Times, Owen Hughes (1/2/17)
Discovery goes to war with Sky over channel fees with blackout threat The Telegraph, Christopher Williams (25/1/17)

Questions

  1. Can you use game theory to outline the ‘game’ that Sky and Discovery were playing?
  2. Is the ‘threat’ of stopping access to channels credible?
  3. Although we don’t know the final financial settlement, why would Sky have had a reason to increase the price it paid to Discovery?
  4. Why would it be in Discovery’s interests to accept the deal that Sky offered?
  5. Susanna Dinnage suggested that Sky was using its dominant market position. What does this mean and how does this suggest that Sky might be able to behave?
  6. What type of market structure is the pay-TV industry? Think about it in terms of broadcasters, channels and programmes as you might get very different answers!

Australia held a general election on 2 July 2016. The Liberal/National coalition narrowly won in the House of Representatives, gaining a substantially reduced majority of 77 of the 150 seats, to Labor’s 68 and other parties’ 5 seats. One campaign issue for all parties was the destruction of the Great Barrier Reef, which is seen as an environmental disaster. Each party had proposals for tackling the problem and we examine some of them here.

The Great Barrier Reef is the largest coral reef in the world. As the BBC’s iWonder guide states:

One of the world’s seven natural wonders, the Great Barrier Reef contains some 900 islands and 3000 smaller reefs. It is larger than the UK, the Netherlands and Switzerland combined, home to around 10% of the world’s marine fish, over 200 bird species and countless other animals, including turtles and dolphins.

But this iconic Reef system is facing unprecedented threats. Together with governments, scientists are playing a key role in the battle to preserve this vulnerable ecosystem before it’s too late.

The Reef is 2300km long. In the northern third, around half of the coral is dead. Few tourists see this, as they tend to dive in the southern third, which, being cooler, is less affected.

The bleaching and destruction of coral reefs has a number of causes. These include: rising water temperatures, generally from global warming and more extreme El Niño events (rising warm waters that periodically spread across the Pacific); pollution, including that from coal mining, industrial effluent and run-off of pesticides, herbicides, fertilisers and sediment from farming, leading to acidification of waters; more frequent and more violent cyclones; rapidly expanding numbers of coral-eating Crown of Thorns starfish; and over fishing of some species of fish, leading to knock-on effects on ecosystems.

The Barrier Reef and the oceans and atmosphere around it can be regarded as a common resource. The warming of the atmosphere and the oceans, and the destruction of the reef and the wildlife on it, are examples of the ‘tragedy of the commons’. With no-one owning these resources, they are likely to be overused and abused. Put another way, these activities cause negative externalities, which do not appear as costs to the polluters and despoilers, but are still costs to all who treasure the reef. And, from a non-human perspective, it is a cost to the planet and its biodiversity. What is in the private interests of the abusers is not in the social or environmental interest.

The Australian government had sought to downplay the extent of the problem, afraid of deterring tourists – a valuable source of revenue – and under pressure from the coal and farming industries. Nevertheless, in the run-up to the election, the destruction of the Reef and what to do about it became a major debating point between the parties.

The Coalition government has pledged A$1bn for a new Reef fund, which will be dedicated to tackling climate change and water quality.

The fund will also help coastal sewage treatment plants to reduce ocean outfalls with efficient pumps, biogas electricity generation and next-generation waste water treatment. Improving water quality will enhance the Reef’s resilience to climate change, coral bleaching and outbreaks of the destructive crown of thorns starfish.

But how much difference the fund can make with the money it will have is not clear.

The Labor Party pledged to follow every recommendation in the Great Barrier Reef Water Science Taskforce’s Final Report, released in May, and to pass laws to prevent farm pollution flowing into the waters around the Reef and to have a more rapid shift towards renewable energy.

The Green Party goes the furthest. In addition to the Labor Party’s proposals, it wants to impose taxes on coal firms equal to the cost of the damage they are causing. The tax revenues would be paid into a multi-billion dollar fund. This would then be spent on measures to rescue the Reef, invest in clean energy projects, stop damaging industrial development, improve farm management and stop polluted run-off into the Reef catchment area by investing in water systems.

Promises at the time of an election are all well and good. Just how much will be done by the re-elected Coalition government remains to be seen.

Interactive Videos and presentations
David Attenborough’s Great Barrier Reef: an Interactive Journey, Atlantic Productions, David Attenborough (2015)
Global Warming – the greatest market failure Prezi, Yvonne Cheng (5/12/12)

Articles

The Great Barrier Reef: a catastrophe laid bare The Guardian, Michael Slezak (7/6/16)
The Guardian view on the Great Barrier Reef: the crisis they prefer to downplay The Guardian (7/6/16)
Fight to save Great Barrier Reef could cost billions, secret government modelling estimates ABC News, Mark Willacy (2/6/16)
Great Barrier Reef: government must choose which parts to save, says expert The Guardian, Joshua Robertson (8/7/16)
This election, what hope is there for the Great Barrier Reef? The Guardian, Michael Slezak (1/7/16)
Coalition will protect Great Barrier Reef with $1bn fund, says PM The Guardian, Gareth Hutchens (12/6/16)
Great Barrier Reef election explainer: how do the parties compare? The Guardian, Michael Slezak (2/6/16)
Five things we can do right now to save the Great Barrier Reef The Guardian, John Pandolfi (13/6/16)
We’ve scored the parties on the Reef My Sunshine Coast, Australian Marine Conservation Society (29/6/16)
Our Most Iconic Places Are Under Dire Threat From Climate Change Huffington Post, Nick Visser (26/5/16)
There are bright spots among the world’s coral reefs – the challenge is to learn from them The Conversation, Australia, Joshua Cinner (21/7/16)

Questions

  1. Explain what is meant by the Tragedy of the Commons. Is all pollution damage an example of this?
  2. What can the Australian government do to internalise the external costs to the Great Barrier Reef from (a) farming; (b) mining; (c) global warming?
  3. Why is it difficult to reach international agreement on tackling climte change? What insights can game theory provide for understanding the difficulties?
  4. What are the recommendations in the Final Report of the Great Barrier Reef Water Science Taskforce? What mix of tools does it suggest?
  5. What are the relative advantages and disadvantages of taxation, laws and regulations, public investment, education and international negotiation as policy instruments to protect the Reef?

After two weeks of negotiations between the 195 countries attending the COP21 climate change conference in Paris, a deal has been reached on tackling climate change. Although the deal still has to be ratified by countries, this is a major step forward in limiting global warming. Before it can formally come into force, it must have been ratified by at least 55 countries, accounting for at least 55% of global greenhouse gas emissions.

The deal goes much further than previous agreements and includes the following:

  A limit on the increase in global temperatures to ‘well below’ 2°C above pre-industrial levels and efforts pursued to limit it to 1.5°C.
A recognition that the pledges already made ahead of the conference by 186 countries and incorporated into the agreement are insufficient and will only limit global temperature rise to 2.7°C at best.
Countries to update their emissions reductions commitments every five years – the first being in 2020. Such revised commitments should then be legally binding.
A global ‘stocktake’ in 2023, and every five years thereafter, to monitor countries’ progress in meeting their commitments and to encourage them to make deeper cuts in emissions to reach the 1.5°C goal. This requires a process of measurement and verification of countries’ emissions.
To reach a peak in greenhouse gas emissions as soon as possible and then to begin reducing them and to achieve a balance between sources and sinks of greenhouse gases (i.e. zero net emissions) in the second half of this century.
Developed countries to provide the poorest developing countries with $100bn per year by 2020 to help them reduce emissions. This was agreed in Copenhagen, but will now be continued from 2020 to 2025, and by 2025 a new goal above $100bn per year will be agreed.
The development of market mechanisms that would award tradable credits for green projects and emissions reductions.
A recognition that the ‘loss and damage’ associated with climate-related disasters can be serious for many vulnerable developing countries (such as low-lying island states) and that this may require compensation. However, there is no legal liability on developed countries to provide such compensation.

Perhaps the major achievement at the conference was a universal recognition that the problem of global warming is serious and that action needs to be taken. Mutual self interest was the driving force in reaching the agreement, and although it is less binding on countries than many would have liked, it does mark a significant step forward in tackling climate change.

But why did the conference not go further? Why, if there was general agreement that global warming should be tackled and that global temperature rise should ideally be capped at 1.5°C, was there not a binding agreement on each country to apply this cap?

There are two reasons.

First, it is very difficult to predict the exact relationship, including its timing, between emissions and global temperature rise. Even if you could make limits to emissions binding, you could not make global temperature rise binding.

Second, even if there is general agreement about how much emissions should be reduced, there is no general agreement on the distribution of these reductions. Many countries want to do less themselves and others to do more. More specifically, poor countries want rich countries to do all the cutting while many continue to build more coal-fired power stations to provide the electricity to power economic development. The rich countries want the developing countries, especially the larger ones, such as China, India and Brazil to reduce their emissions, or at least the growth in their emissions.

Then there is the difference between what countries vaguely pledge at a global conference and what they actually do domestically. Many developed countries are keen to take advantage of currently cheap fossil fuels to power economic growth. They are also still investing in alternative sources of fossil fuels, such as through fracking.

As we said in the previous blog, game theory can shed some useful insights into the nature and outcome of climate negotiations. ‘The global optimum may be for a strong agreement, binding on all countries. The Nash equilibrium, however, may be a situation where countries push for their own interests at the expense of others, with the final agreement being much more minimalistic.’

‘Minimalistic’ may be too strong a description of the outcomes of the Paris conference. But they could have been stronger. Nevertheless, judged by the outcomes of previous climate conferences, the deal could still be described as ‘historic’.

Videos
With landmark climate accord, world marks turn from fossil fuels Reuters (13/12/15)
COP21 climate change summit reaches deal in Paris BBC News (13/12/15)
COP21: Paris climate deal is ‘best chance to save planet’ BBC News (13/12/15)
COP21: Climate change deal’s winners and losers BBC News, Matt McGrath (13/12/15)
The Five Key Decisions Made in the UN Climate Deal in Paris Bloomberg, video: Nathaniel Bullard; article: Ewa Krukowska and Alex Morales (12/12/15)
The key factors in getting a deal in Paris BBC News on YouTube, Tom Burke (13/12/15)

Articles

COP21 agreement: All you need to know about Paris climate change deal Hindustan Times, Chetan Chauhan (13/12/15)
COP21: Paris agreement formally adopted Financial Times, Pilita Clark and Michael Stothard (12/12/15)
Let’s hail the Paris climate change agreement and get to work Financial Times, Jeffrey Sachs (12/12/15)
COP21: Public-private collaboration key to climate targets Financial Times, Nicholas Stern (13/12/15)
Paris climate change agreement: the deal at a glance The Telegraph, Emily Gosden (12/12/15)
Climate Accord Is a Healing Step, if Not a Cure New York Times, Justin Gillis (12/12/15)
Paris Agreement Ushers in End of the Fossil Fuel Era Slate, Eric Holthaus (12/12/15)
Paris Agreement: the reaction Business Green, James Murray and Jessica Shankleman (12/12/15)
World’s First Global Deal to Combat Climate Change Adopted in Paris Scientific American, David Biello (12/12/15)
COP21: Paris climate deal ‘our best chance to save the planet’, says Obama Independent, Tom Bawden (13/12/15)
Grand promises of Paris climate deal undermined by squalid retrenchments The Guardian, George Monbiot (12/12/15)
Paris Agreement on climate change: the good, the bad, and the ugly The Conversation, Henrik Selin and Adil Najam (14/12/15)
COP21: James Hansen, the father of climate change awareness, claims Paris agreement is a ‘fraud’ Independent, Caroline Mortimer (14/12/15)
Paris climate agreement: More hot air won’t save us from oblivion Sydney Morning Herald, Peter Hartcher (15/12/15)

Draft Agreement
Adoption of the Paris Agreement United Nations Framework Convention on Climate Change (12/12/15)

Questions

  1. Could the market ever lead to a reduction in greenhouse gas emissions? Explain.
  2. What are the main strengths and weaknesses of the Paris agreement?
  3. Is it in rich countries’ interests to help poorer countries to achieve reductions in greenhouse gas emissions?
  4. How might countries reduce the production of fossil fuels? Are they likely to want to do this? Explain.
  5. Is a ‘cap and trade’ (tradable permits) system (a) an effective means of reducing emissions; (b) an efficient system?
  6. What is the best way of financing investment in renewable energy?

The Paris Climate Change Conference (COP21) is under way. At the opening on November 30, 150 Heads of State gathered in Paris, most of whom addressed the conference. With representatives from 195 countries and observers from a range of organisations, the conference is set to last until 11 December. Optimism is relatively high that a legally binding and universal agreement will be reached, with the aim of keeping global warming below 2°C – what is generally regarded as a ‘safe’ limit.

But although it is hoped that a successor to the Kyoto Protocol of 1997 will be put in place, there are many problems in getting so many countries to agree. They may all wish to reduce global warming, but there is disagreement on how it should be achieved and how the burden should be shared between countries.

There are several difficult economic issues in the negotiations. The first is the size and impact of the external costs of emissions. When a country burns fossil fuels, the benefits are almost entirely confined to residents of that county. However, the environmental costs are largely external to that country and only a relatively small fraction is borne by that country and hardly at all by the polluters themselves, unless there is a carbon tax or other form or penalty in place. The problem is that the atmosphere is a common resource and without collective action – national or international – it will be overused.

The second problem is one of distribution. Politicians may agree in principle that a solution is necessary which is equitable between nations, but there is considerable disagreement on what is meant by ‘equitable’ in this context. As the third Guardian article below puts it:

The most important hurdle could be over whether industrialised countries like the US, UK and Japan, which have contributed the most to the historical build-up of emissions, should be obliged to cut more than developing countries. India, on behalf of many poor countries, will argue that there must be “differentiation” between rich and poor; but the US wants targets that are applicable to all. A collision is inevitable.

A third problem is that of uncertainty. Although there is general agreement among scientists that human action is contributing to global warming, there is less agreement on the precise magnitude of the causal relationships. There is also uncertainty over the likely effects of specific emissions reductions. This uncertainty can then be used by governments which are unwilling to commit too much to emissions reductions.

A fourth difficulty arises from the intertemporal distribution of costs and benefits of emissions reductions. The costs are born immediately action is taken. Carbon taxes or charges, or subsidies to renewables, or caps on emissions, all involve higher energy prices and/or higher taxes. The flows of benefits (or lower costs), however, of reduced emissions are not likely to be fully experienced for a very long time. But governments, whether democratic or dictatorships, tend to have a relatively short time horizon, governed by the electoral cycle or the likelihood of staying in power. True, governments may not be solely concerned with power and many politicians may have genuine desires to tackle climate change, but their political survival is still likely to be a major determinant of their actions.

Of course, if there is strong public opinion in favour of action to reduce emissions, governments are likely to respond to this. Indeed, all the expressions of public support for action ahead of the conference from all around the world, do give some hope for a strong agreement at the Paris conference. Nevertheless, there is still widespread scepticism in many countries over the relationship between human action and climate change, and many argue that the costs of policies to tackle climate change exceed the benefits.

Game theory can shed some insights into the difficulties ahead for the negotiators. The global optimum may be for a strong agreement, binding on all countries. The Nash equilibrium, however, may be a situation where countries push for their own interests at the expense of others, with the final agreement being much more minimalistic.

There do, however, seem to be more reasons to be cheerful at this summit that at previous ones. But negotiations are likely to be hard and protracted over the coming days.

Videos and webcasts
Paris Climate Conference: The Big Picture Wall Street Journal on YouTube, Jason Bellini (30/11/15)
Why is the Paris UN climate summit important? PwC, Leo Johnson (14/10/15)
Paris climate change summit 2015: ‘the near impossible task’ Channel 4 News on YouTube, Tom Clarke (30/11/15)
COP21: Rallies mark start of Paris climate summit BBC News, David Shukman (29/11/15)
With climate at ‘breaking point’, leaders urge breakthrough in Paris Reuters, Bruce Wallace and Alister Doyle (1/12/15)
COP21: Paris conference could be climate turning point, says Obama BBC News (30/11/15)
Leaders meet to reach new agreement on climate change BBC News, David Shukman (30/11/15)
Poll: Growing Doubts Over Climate Change Causes Sky News, Thomas Moore (30/11/15)
Paris climate protesters banned but 10,000 shoes remain The Guardian (29/11/15)

Articles

COP-21 climate deal in Paris spells end of the fossil era The Telegraph, Ambrose Evans-Pritchard (29/11/15)
Is there an economic case for tackling climate change? BBC News, Andrew Walker (28/11/15)
World Leaders in Paris Vow to Overcome Divisions on Climate Change Wall Street Journal, William Horobin and William Mauldin (30/11/15)
Experts discuss how to build a carbon-free energy industry The Guardian, Tim Smedley (25/11/15)
Africa could lead world on green energy, says IEA head The Guardian, Anna Leach (11/11/15)
Climate change talks: five reasons to be cheerful or fearful The Guardian, John Vidal (30/11/15)
The Paris climate change summit, explained in 4 charts The Washington Post, Philip Bump (30/11/15)
Why This Goal To Curb Climate Change ‘Is Not Ideal’ Huffington Post, Jacqueline Howard (30/11/15)
Paris climate change talks: What the different groups attending expect from these crucial meetings Independent, Tom Bawden (29/11/15)
UN Climate Change Conference: World Leaders Call For Price On CO2 Emissions Despite Uphill Battle At Paris Summit International Business Times, Maria Gallucci (30/11/15)
World Bank, six nations call for a price on carbon SBS (Australia) (1/12/15)
Uruguay makes dramatic shift to nearly 95% electricity from clean energy The Guardian, Jonathan Watts (3/12/15)

Questions

  1. Why is COP21 considered to be so significant?
  2. For what reasons is there hope for a binding agreement to limit global warming to 2°C?
  3. What would be the effect on global warming of the commitments made by more than 180 countries prior to the conference?
  4. What market failings contribute towards the problem of global warming?
  5. Why, if all countries want to achieve a binding agreement at the Paris conference, is it likely to be so difficult to achieve?
  6. Explain what is meant by a ‘Nash equilibrium’ and how the concept is relevant to international negotiations.
  7. Why is China investing heavily in solar power?
  8. Could Africa lead the world in green energy?
  9. Is a ‘cap and trade’ (tradable permits) system (a) an effective means of reducing emissions; (b) an efficient system?
  10. What is the best way of financing investment in renewable energy?
  11. How does the structure/order of the Paris conference differ from previous COPs? Is such a structure more likely to achieve substantial results?