Game theory is the study of decisions whose outcome depends on what others choose. Economists apply it to interdependent behaviour in oligopoly.

Define a Nash equilibrium.

A Nash equilibrium is an outcome in which neither firm gains by changing its own strategy alone. Each firm's choice is the best reply to the choice of the other.

How do you determine a Nash equilibrium using a payoff matrix?

Check each firm's best response to every strategy the rival might choose. A cell where the two choices are best responses to each other is a Nash equilibrium.

Two firms each choose a high or a low price. Both high pays each £8m, both low pays each £5m, and the firm setting low against a high rival earns £10m while the rival earns £2m. Identify the Nash equilibrium.

The Nash equilibrium has both firms setting a low price and earning £5m each. A low price is a dominant strategy, because £10m beats £8m and £5m beats £2m.

Eduqas A-Level Economics A520QS

Scarcity, Choice and the Economic Problem

Topic overview Scarcity, choice and the basic economic problem The factors of production and their rewards Opportunity cost for individuals, firms and government Economic goods, free goods and the three fundamental questions The production possibility frontier and its shape Movements along and shifts in the frontier Efficiency, unemployed resources and the frontier Specialisation, the division of labour and exchange Productivity and how it is raised

Demand, Supply and Market Equilibrium

Topic overview Product markets and the objectives of economic agents Marginal utility and the derivation of demand The demand curve and why it slopes downward The conditions of demand and shifts in the demand curve Supply and why the supply curve slopes upward The conditions of supply and shifts in the supply curve Equilibrium price and output in a competitive market Shifts in demand and supply and the new equilibrium Consumer surplus, producer surplus and market welfare

Elasticities of Demand and Supply

Topic overview Price elasticity of demand and its calculation What determines price elasticity of demand Price elasticity of demand and total revenue Elasticity along a straight-line demand curve Income elasticity of demand, normal and inferior goods Cross price elasticity of demand, substitutes and complements Price elasticity of supply and its determinants Elasticity and the incidence of taxes and subsidies Elasticity in decision-making by firms and government

The Labour Market

Topic overview The demand for labour and what shifts it The supply of labour and what shifts it Wage determination in a competitive labour market The elasticity of demand and supply of labour Wage differentials and their causes Labour market flexibility and trade union power Welfare payments, income tax and labour market performance The national minimum wage Migration and the labour market

Costs, Revenues, Profits and the Growth of Firms

Topic overview Prices, profit and the allocation of resources The short run, the long run and diminishing returns Total, average and marginal product Fixed and variable costs in the short run Average and marginal cost curves and their shapes Total, average and marginal revenue Economies and diseconomies of scale and the long run average cost curve Profit maximisation and the MC = MR rule Normal profit, abnormal profit and economic profit Internal and external growth and types of integration Productive, allocative, dynamic and Pareto efficiency

Market Structures

Topic overview Market structure, contestability and barriers to entry Business objectives and satisficing Perfect competition and its assumptions Short run and long run equilibrium in perfect competition The efficiency of perfect competition Monopolistic competition and its assumptions Short run and long run equilibrium in monopolistic competition The efficiency of monopolistic competition Monopoly and its assumptions Monopoly compared with perfect competition The costs and benefits of monopoly Oligopoly, interdependence and concentration ratios Price and non-price competition, collusion and price leadership Game theory and the Nash equilibrium

Competition Policy and Privatisation

Topic overview Why governments are concerned about monopoly power Merger control and market investigations Cartels, restrictive practices and abuse of dominance Competition authorities and how they work Regulating natural monopolies and the utilities Contestable markets and barriers to entry The limits of competition as a policy goal Privatisation and the forms it takes Evaluating privatisation and the case for renationalisation

Market Failure and Government Intervention

Topic overview Market failure and economic efficiency Externalities, welfare loss and the socially efficient output Public goods, free riding and property rights Merit goods, demerit goods and information failure Monopoly power, factor immobility and volatile prices Taxation, subsidies and tradable pollution permits Regulation, state provision and information provision Maximum and minimum prices in agriculture, housing and labour Government failure and distortions in markets Income inequality as a market failure

The Circular Flow and Aggregate Demand

Topic overview The circular flow of income Injections, withdrawals and equilibrium national income The multiplier The accelerator Aggregate demand and its components Consumption and saving Investment and its determinants Government spending and net trade The AD function: why it slopes down and what shifts it

Aggregate Supply and the Phillips Curve

Topic overview Aggregate supply and the AD/AS framework The short run aggregate supply curve Shifts in short run aggregate supply The Neo-Classical long run aggregate supply curve The Keynesian long run aggregate supply curve Shifts in long run aggregate supply Macroeconomic equilibrium and adjustment to the long run The short run Phillips curve Expectations, the long run Phillips curve and the NAIRU Shifts in the long run Phillips curve

Economic Growth

Topic overview Macroeconomic policy objectives and the conflicts between them Measuring economic growth Actual growth and potential growth Illustrating growth on the PPF and in AD/AS analysis Output gaps The business cycle and recession The causes of economic growth Policy instruments used to create growth The benefits and costs of economic growth

Unemployment

Topic overview The labour force, economic activity and inactivity Measuring unemployment Problems in measuring unemployment accurately The economic and social costs of unemployment Cyclical unemployment and demand side causes Frictional, structural and seasonal unemployment Real wage unemployment and incentives to work The natural rate of unemployment Demand side solutions to unemployment Supply side solutions to unemployment Choosing between demand side and supply side approaches

Inflation and Deflation

Topic overview Inflation, deflation and disinflation defined Price indices, the basket and weighting Calculating index numbers and the inflation rate The main measures of inflation compared Demand-pull inflation Cost-push inflation The quantity theory of money and inflation expectations The costs of inflation Policies to control inflation Deflation and the deflationary spiral

The Balance of Payments

Topic overview The balance of payments accounts The current account and its four components The capital and financial accounts Why the balance of payments sums to zero Causes of current account imbalances The terms of trade and the current account The consequences of a deficit or a surplus Policies to correct a current account deficit

Control of the National Debt

Topic overview Deficits, surpluses and the national debt Measurement of the deficit and the debt Structural and cyclical deficits Discretionary policy and automatic stabilisers The cost of servicing debt and credit ratings Refinancing, confidence and market discipline Crowding out and the effect of debt on growth Austerity in a downturn and whether debt is always bad

Fiscal Policy

Topic overview The budget and the fiscal stance Government spending and where it goes Taxation and the sources of government revenue Direct and indirect taxes Fiscal policy, aggregate demand and AD/AS analysis The Keynesian case for demand side fiscal policy Criticisms of demand side fiscal policy The Laffer curve and tax rates Supply side fiscal policy

Monetary Policy and Financial Stability

Topic overview The Bank of England and monetary stability The inflation target and the Bank of England remit The Monetary Policy Committee and how Bank Rate is set The transmission mechanism of monetary policy Interest rates, aggregate demand and inflation Interest rates and the exchange rate Evaluating interest rates as a policy tool Quantitative easing and how it works The risks of quantitative easing and its unwinding Direct intervention in bank lending The financial sector and the real economy Asset bubbles and the financial crisis of 2007-08 Systemic risk, moral hazard and the lender of last resort Regulating the financial system UK economic turning points since 1990

Exchange Rates and Supply Side Policies

Topic overview Exchange rate determination in a free market Factors that cause a currency to appreciate or depreciate The exchange rate index and effects on households and firms Exchange rates, aggregate demand and the macroeconomic objectives Managed floats, fixed rates and central bank intervention The terms of trade and the Marshall-Lerner condition Supply side policies and long-run aggregate supply Market-based and interventionist supply side policies Evaluating supply side policies

International Trade and Protectionism

Topic overview Why countries trade Absolute and comparative advantage Calculating comparative advantage The gains from trade and the terms of trade Limits and criticisms of comparative advantage The case for free trade The case against free trade Tariffs and their effects Quotas, subsidies and other methods of protection The arguments for and against protectionism

Globalisation and the UK in the World Economy

Topic overview What globalisation is and what drives it The benefits of globalisation The costs of globalisation The United Kingdom in the world economy The World Trade Organisation Economic problems of developed, developing and emerging economies The European Union and the single market The advantages and disadvantages of membership Enlargement of the European Union Economic and monetary union and the euro Optimal currency areas and the European Central Bank

Economic Development

Topic overview What economic development means National income as a measure of development Purchasing power parity and comparing countries The Human Development Index Other indicators of development Economic structure and development Obstacles: health, education and population Obstacles: capital, infrastructure and institutions Obstacles: trade, resources and external conditions Solutions: liberalisation and foreign investment Solutions: aid and debt relief Solutions: industrialisation strategies

Market Structures

Game theory and the Nash equilibrium

3 things to know
All three components

Overview

Game theory, payoff matrix and dominant strategy.

What you need to know

Answer each one before you reveal it.

Your recallNot started

Key term

What is game theory?

Key term

What is a payoff matrix?

Key term

What is a dominant strategy?

Questions from this subtopic

Each one with the model answer underneath.

1
What is game theory?
Model answer
Game theory is the study of decisions whose outcome depends on what others choose. Economists apply it to interdependent behaviour in oligopoly.
2
What is a payoff matrix?
Model answer
A payoff matrix is a table showing the result for each firm from every pair of strategies. Rows show one firm's choices and columns show the other firm's choices.
3
What is a dominant strategy?
Model answer
A dominant strategy gives a firm its best result whatever the rival chooses. A firm with a dominant strategy needs no forecast of the rival's decision.
4
Define a Nash equilibrium.
Model answer
A Nash equilibrium is an outcome in which neither firm gains by changing its own strategy alone. Each firm's choice is the best reply to the choice of the other.
5
How do you determine a Nash equilibrium using a payoff matrix?
Model answer
Check each firm's best response to every strategy the rival might choose. A cell where the two choices are best responses to each other is a Nash equilibrium.
6
Two firms each choose a high or a low price. Both high pays each £8m, both low pays each £5m, and the firm setting low against a high rival earns £10m while the rival earns £2m. Identify the Nash equilibrium.
Model answer
The Nash equilibrium has both firms setting a low price and earning £5m each. A low price is a dominant strategy, because £10m beats £8m and £5m beats £2m.

See the rest and revise

Other ways to work this

The same content, four other ways.

What is inside Levo

Six ways to work the same material.

1Closed book

2Open book

3Closed book

The 3-step method, run for you

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

Scarcity, Choice and the Economic Problem

Demand, Supply and Market Equilibrium

Elasticities of Demand and Supply

The Labour Market

Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

British was sold in 1984.

TelecomGasSteel

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

ASaving is income households choose not to spend.

BTaxation is income taken by the government.

CMoney spent on imports leaves the domestic flow.

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

Limit pricing keeps a newcomer out.

TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

721941163128510

Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Market Structures, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

Start revising, £5 a month See how the method works

Or £46 a year, about £3.83 a month. Cancel anytime.