Tag: game theory

The UN’s Intergovernmental Panel on Climate Change (IPCC) has just published the first part of its latest seven-yearly Assessment Report (AR6) on global warming and its consequences (see video summary). The report was prepared by 234 scientists from 66 countries and endorsed by 195 governments. Its forecasts are stark. World temperatures, already 1.1C above pre-industrial levels, will continue to rise. This will bring further rises in sea levels and more extreme weather conditions with more droughts, floods, wildfires, hurricanes and glacial melting.

The IPCC looked at a number of scenarios with different levels of greenhouse gas emissions. Even in the most optimistic scenarios, where significant steps are taken to cut emissions, global warming is set to reach 1.5C by 2040. If few or no cuts are made, global warming is predicted to reach 4.4C by 2080, the effects of which would be catastrophic.

The articles below go into considerable detail on the different scenarios and their consequences. Here we focus on the economic causes of the crisis and the policies that need to be pursued.

Global success in reducing emissions, although partly dependent on technological developments and their impact on costs, will depend largely on the will of individuals, firms and governments to take action. These actions will be influenced by incentives, economic, social and political.

Economic causes of the climate emergency

The allocation of resources across the world is through a mixture of the market and government intervention, with the mix varying from country to country. But both market and government allocation suffer from a failure to meet social and environmental objectives – and such objectives change over time with the preferences of citizens and with the development of scientific knowledge.

The market fails to achieve a socially efficient use of the environment because large parts of the environment are a common resource (such as the air and the oceans), because production or consumption often generates environmental externalities, because of ignorance of the environmental effects of our actions, and because of a lack of concern for future generations.

Governments fail because of the dominance of short-term objectives, such as winning the next election or appeasing a population which itself has short-term objectives related to the volume of current consumption. Governments are often reluctant to ask people to make sacrifices today for the future – a future when there will be a different government. What is more, government action on the environment which involves sacrifices from their own population, often primarily benefit people in other countries and/or future generations. This makes it harder for governments to get popular backing for such policies.

Economic systems are sub-optimal when there are perverse incentives, such as advertising persuading people to consume more despite its effects on the environment, or subsidies for industries producing negative environmental externalities. But if people can see the effects of global warming affecting their lives today, though fires, floods, droughts, hurricanes, rising sea levels, etc., they are more likely to be willing to take action today or for their governments to do so, even if it involves various sacrifices. Scientists, teachers, journalists and politicians can help to drive changes in public opinion through education and appealing to people’s concern for others and for future generations, including their own descendants.

Policy implications of the IPCC report

At the COP26 meeting in Glasgow in November, countries will gather to make commitments to tackle climate change. The IPCC report is clear: although we are on course for a 1.5C rise in global temperatures by 2040, it is not too late to take action to prevent rises going much higher: to avoid the attendant damage to the planet and changes to weather systems, and the accompanying costs to lives and livelihoods. Carbon neutrality must be reached as soon as possible and this requires strong action now. It is not enough for government to set dates for achieving carbon neutrality, they must adopt policies that immediately begin reducing emissions.

The articles look at various policies that governments can adopt. They also look at actions that can be taken by people and businesses, actions that can be stimulated by government incentives and by social pressures. Examples include:

  • A rapid phasing out of fossil fuel power stations. This may require legislation and/or the use of taxes on fossil fuel generation and subsidies for green energy.
  • A rapid move to green transport, with investment in charging infrastructure for electric cars, subsidies for electric cars, a ban on new petrol and diesel vehicles in the near future, investment in hydrogen fuel cell technology for lorries and hydrogen production and infrastructure, cycle lanes and various incentives to cycle.
  • A rapid shift away from gas for cooking and heating homes and workplaces and a move to ground source heating, solar panels and efficient electric heating combined with battery storage using electricity during the night. These again may require a mix of investment, legislation, taxes and subsidies.
  • Improvements in energy efficiency, with better insulation of homes and workplaces.
  • Education, public information and discussion in the media and with friends on ways in which people can reduce their carbon emissions. Things we can do include walking and cycling more, getting an electric car and reducing flying, eating less meat and dairy, reducing food waste, stopping using peat as compost, reducing heating in the home and putting on more clothes, installing better insulation and draught proofing, buying more second-hand products, repairing products where possible rather than replacing them, and so on.
  • Governments requiring businesses to conduct and publish green audits and providing a range of incentives and regulations for businesses to reduce carbon emissions.

It is easy for governments to produce plans and to make long-term commitments that will fall on future governments to deliver. What is important is that radical measures are taken now. The problem is that governments are likely to face resistance from their supporters and from members of the public and various business who resist facing higher costs now. It is thus important that the pressures on governments to make radical and speedy reductions in emissions are greater than the pressures to do little or nothing and that governments are held to account for their actions and that their actions match their rhetoric.




  1. Summarise the effects of different levels of global warming as predicted by the IPCC report.
  2. To what extent is global warming an example of the ‘tragedy of the commons’?
  3. How could prices be affected by government policy so as to provide an incentive to reduce carbon emissions?
  4. What incentives could be put in place to encourage people to cut their own individual carbon footprint?
  5. To what extent is game theory relevant to understanding the difficulties of achieving international action on reducing carbon emissions?
  6. Identify four different measures that a government could adopt to reduce carbon emissions and assess the likely effectiveness of these measures.

In December 2015, countries from around the world met in Paris at the United Nations Intergovernmental Panel on Climate Change (IPCC). The key element of the resulting Paris Agreement was to keep ‘global temperature rise this century well below 2 degrees Celsius above pre-industrial levels and to pursue efforts to limit the temperature increase even further to 1.5 degrees Celsius.’ At the same time it was agreed that the IPCC would conduct an analysis of what would need to be done to limit global warming to 1.5°C. The IPPC has just published its report.

The report, based on more than 6000 scientific studies, has been compiled by more than 80 of the world’s top climate scientists. It states that, with no additional action to mitigate climate change beyond that committed in the Paris Agreement, global temperatures are likely to rise to the 1.5°C point somewhere between 2030 and 2040 and then continue rising above that, reaching 3°C by the end of the century.

According to the report, the effects we are already seeing will accelerate. Sea levels will rise as land ice caps and glaciers melt, threatening low lying coastal areas; droughts and floods will become more severe; hurricanes and cyclones will become stronger; the habits of many animals will become degraded and species will become extinct; more coral reefs will die and fish species disappear; more land will become uninhabitable; more displacement and migration will take place, leading to political tensions and worse.

Two tragedies

The problem of greenhouse gas emissions and global warming is a classic case of the tragedy of the commons. This is where people overuse common resources, such as open grazing land, fishing grounds, or, in this case, the atmosphere as a dump for emissions. They do so because there is little, if any, direct short-term cost to themselves. Instead, the bulk of the cost is borne by others – especially in the future.

There is another related tragedy, which has been dubbed the ‘tragedy of incumbents’. This is a political problem where people in power want to retain that power and do so by appealing to short-term selfish interests. The Trump administration lauds the use of energy as helping to drive the US economy and make people better off. To paraphrase Donald Trump ‘Climate change may be happening, but, hey, let’s not beat ourselves up about it and wear hair shirts. What we do will have little or no effect compared with what’s happening in China and India. The USA is much better off with a strong automobile, oil and power sector.’

What’s to be done?

According to the IPCC report, if warming is not to exceed 1.5℃, greenhouse gas emissions must be reduced by 45% by 2030 and by 100% by around 2050. But is this achievable?

The commitments made in the Paris Agreement will not be nearly enough to achieve these reductions. There needs to be a massive movement away from fossil fuels, with between 70% and 85% of global electricity production being from renewables by 2050. There needs to be huge investment in green technology for power generation, transport and industrial production.

In addition, the report recommends investing in atmospheric carbon extraction technologies. Other policies to reduce carbon include massive reforestation.

Both these types of policies involve governments taking action, whether through increased carbon taxes on either producers or consumer or both, or through increased subsidies for renewables and other alternatives, or through the use of cap and trade with emissions allocations (either given by government or sold at auction) and carbon trading, or through the use of regulation to prohibit or limit behaviour that leads to emissions. The issue, of course, is whether governments have the will to do anything. Some governments do, but with the election of populist leaders, such as President Trump in the USA, and probably Jair Bolsonaro in Brazil, and with sceptical governments in other countries, such as Australia, this puts even more onus on other governments.

Another avenue is a change in people’s attitudes, which may be influenced by education, governments, pressure groups, news media, etc. For example, if people could be persuaded to eat less meat, drive less (for example, by taking public transport, walking, cycling, car sharing or living nearer to their work), go on fewer holidays, heat their houses less, move to smaller homes, install better insulation, etc., these would all reduce greenhouse gas emissions.

Finally, there is the hope that the market may provide part of the solution. The cost of generating electricity from renewables is coming down and is becoming increasingly competitive with electricity generated from fossil fuels. Electric cars are coming down in price as battery technology develops; also, battery capacity is increasing and recharging is becoming quicker, helping encourage the switch from petrol and diesel cars to electric and hybrid cars. At the same time, various industrial processes are becoming more fuel efficient. But these developments, although helpful, will not be enough to achieve the 1.5°C target on their own.

Videos and audio




  1. Explain the extent to which the problem of global warming is an example of the tragedy of the commons. What other examples are there of the tragedy?
  2. Explain the meaning of the tragedy of the incumbents and its impact on climate change? Does the length of the electoral cycle exacerbate the problem?
  3. With the costs of low or zero carbon technology for energy and transport coming down, is there as case for doing nothing in response to the problem of global warming?
  4. Examine the case for and against using taxes and subsidies to tackle global warming.
  5. Examine the case for and against using regulation to tackle global warming.
  6. Examine the case for and against using cap-and-trade systems to tackle global warming.
  7. Is there a prisoners’ dilemma problem in getting governments to adopt policies to tackle climate change?
  8. What would be the motivation for individuals to ‘do their bit’ to tackle climate change? Other than altering prices or using regulation, how might the government or other agencies set about persuading people to ‘be more green’?
  9. If you were doing a cost–benefit analysis of some project that will have beneficial environmental impacts in the future, how would you set about adjusting the values of these benefits for the fact that they occur in the future and not now?

The median pay of chief executives of the FTSE 100 companies rose 11% in 2017 to £3.93 million per year, according to figures released by the High Pay Centre. By contrast, the median pay of full-time workers rose by just 2%. Given two huge pay increases for the CEOs of Persimmon and Melrose Industries of £47.1 million and £42.8 million respectively, the mean CEO pay rose even more – by 23%, from £4.58 million in 2016 to £5.66 million in 2017. This brings the ratio of the mean pay of FTSE 100 CEOs to that of their employees to 145:1. In 2000, the ratio was around 45:1.

These huge pay increases are despite criticisms from shareholders and the government over excessive boardroom pay awards and the desire for more transparency. In fact, under new legislation, companies with more than 250 employees must publish the ratio of the CEO’s total remuneration to the full-time equivalent pay of their UK employees on the 25th, 50th (median) and 75th percentiles. The annual figures will be for pay starting from the financial year beginning in 2019, which for most companies would mean the year from April 2019 to April 2020. Such a system has been introduced in the USA this year.

So why has the gap in pay widened so much? One reason is that there is no formal mechanism whereby workers can apply downward pressure on such awards. Although Theresa May, in her campaign to become Prime Minister in 2016, promised to put workers on company boards, the government has since abandoned the idea.

Executive pay is awarded by remuneration committees. Membership of such committees consists of independent non-executive directors, but their degree of independence has frequently been called into question and there has been much criticism of such committees being influenced by their highest paying competitors or peers. This has had the effect of ratcheting up executive pay.

Then there is the question of the non-salary element in executive pay. The incentive and bonus payments are often linked to the short-term performance of the company, as reflected in, for example, the company’s share price. In a period when share prices in general rise rapidly – as we have seen over the past two years – executive pay tends to rise rapidly too. A frequent criticism of large UK businesses is that they have been too short-termist. What is more, bonuses are often paid despite poor performance.

There has been some move in recent years to make incentive pay linked more to long-term performance, but this has still led to many CEOs getting large pay increases despite lack-lustre long-term performance.

Then there is the question of shareholders and their influence on executive pay. Despite protests by many smaller shareholders, a large proportion of shares are owned by investment funds and their managers are often only too happy to vote through large executive pay increases at shareholder meetings.

So, while the pressures for containing the rise in executive pay remain small, the pay gap is likely to continue to widen. This raises the whole question of a society becoming increasingly divided between the few at the top and a large number of people ‘just getting by’ – or not even that. Will this make society even more fractured and ill at ease with itself?


Information and data


  1. How would you set about establishing whether CEOs’ pay is related to their marginal revenue product?
  2. To what extent is executive pay a reflection of oligopolistic/oligopsonistic behaviour?
  3. In what ways can game theory shed light on the process of setting the remuneration packages of CEOs? Is there a Nash equilibrium?
  4. What are the advantages and disadvantages of linking senior executives’ remuneration to (a) short-term company performance; (b) long-term company performance?
  5. What is/are the best indicator(s) of long-term company performance for determining the worth of senior executives?
  6. Consider the arguments for and against capping the ratio of CEOs’ remuneration to a particular ratio of either the mean or median pay of employees. What particular ratio might be worth considering for such a cap?

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)


  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)


  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!