Tag: game theory

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

Articles

Report

Questions

  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?

Articles

Information and data

Questions

  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)

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?