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Two-level game theory

Two-level game theory is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Two-level game theory rather than just read about it. In short: Two-level game theory is a political model, derived from game theory, that illustrates the domestic-international interactions between states. It was originally introduced in 1988 by Robert D.

Two-level game theory — main illustration
Two-level game theory — illustration

Key takeaways

  • Two-level game theory belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Two-level game theory to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Two-level game theory from memory before moving on to harder problems.

Reference excerpt

Two-level game theory is a political model, derived from game theory, that illustrates the domestic-international interactions between states. It was originally introduced in 1988 by Robert D. Putnam in his publication "Diplomacy and Domestic Politics: The Logic of Two-Level Games". Putnam had been involved in research around the G7 summits between 1976 and 1979. However, at the fourth summit, held in Bonn in 1978, he observed a qualitative shift in how the negotiations worked. He noted that attending countries agreed to adopt policies in contrast to what they might have in the absence of their international counterparts. However, the agreement was only viable due to strong domestic influence - within each international government - in favour of implementing the agreement internationally. This culminated in international policy co-ordination as a result of the entanglement of international and domestic agendas.

The Model The model views international negotiations between states as consisting of simultaneous negotiations at two levels.

Level 1: The international level (between governments), and Level 2: The intranational level (domestic). At the international level, the national government (i.e., chief negotiator) seeks an agreement, with an opposing country, relating to topics of concern. At the domestic level, societal actors pressure the chief negotiator for favourable policies. The chief negotiator absorbs the concern of societal actors and builds coalitions with them. Simultaneously, the chief negotiator then seeks to maximise the domestic concerns, yet minimise the impact of any contrary views from the opposing country.

Win-Sets At the international level, countries will approach negotiations with a defined set of objectives. It is expected that chief negotiators of both states arrive at a range of outcomes where their objectives overlap. However, before committing to this, the chief negotiator must seek approval from domestic actors. This ratification can be in the form of both formal voting requirements or informal methods, such as public opinion polls. Due to a potential difference in domestic concerns, the full range of agreement outcomes at the international level may not necessarily be approved. As such, the possible agreement outcomes at the international level that are accepted by domestic interest groups is defined as a state's "win-set". International agreements only occur when there is an overlap between the win-sets of the states involved in the international negotiations. Win-set size plays an important role in determining the success of negotiations at the international level. Naturally, the larger the win-set, the more likely the win-sets will overlap, potentially leading to successful negotiations. Conversely, negotiations are more likely to fail when opposing state's win-sets are smaller. The perceived win-set size, however, is just as important as the actual win-set size. If a state's win-set size is perceived to be large, the opposing state will, therefore, have greater bargaining power. Alternatively, if a state's win-set is perceived to be rather small, this can lead to them attaining an advantage in negotiations, whereby they can influence the opposing state to concede more in order for negotiations to be a success.

Examples

Paris Agreement

In the context of climate change, all countries are negatively affected. But, when compared to the costs of steps taken to mitigate this, the majority of states benefit from the actions of a minority of large contributors. This lop-sided costs-to-benefits creates an incentive for some states to neglect their responsibilities and free-ride on the actions taken by others. As a classic case of the Prisoner's Dilemma, states are therefore more incentivised to do nothing, rather than contributing to mitigating climate change. This unequal burden-sharing has led to varying conceptions between states of what is fair under the Paris Agreement, resulting in both small and large countries utilising their negotiating assets to arrive at an agreement. However, as with any two-level game, domestic forces have influence on a state's win-set, which impacts the ability to negotiate an outcome at the international level. A recent example of this is the United States withdrawal from the Paris Agreement, which was supported by many Republicans as well as domestic interest groups aligned with the first Trump Administration.

Falklands War In the period leading to the Falklands War, Anglo-Argentine negotiations resulted in several tentative agreements. The failure of domestic political forces to ratify these agreements meant the win-sets of the two countries did not overlap.

References

Bibliography

Further reading

Illustrations

Two-level game theory: Five of the seven leaders at the 1978 G7 Economic Summit in Bonn. From left to right: Giulio Andreotti (Italy), Takeo Fukuda (福田 赳夫) (Japan), Jimmy Carter (USA), Helmut Schmidt (West Germany) and Valéry d'Estaing (France).
Five of the seven leaders at the 1978 G7 Economic Summit in Bonn. From left to right: Giulio Andreotti (Italy), Takeo Fukuda (福田 赳夫) (Japan), Jimmy Carter (USA), Helmut Schmidt (West Germany) and Valéry d'Estaing (France).
Two-level game theory: Heads of delegations at the 2015 United Nations Climate Change Conference (COP21), which led to the signing of the Paris Agreement.
Heads of delegations at the 2015 United Nations Climate Change Conference (COP21), which led to the signing of the Paris Agreement.

Worked examples

Example 1 — a first encounter with Two-level game theory

Start with the simplest possible case. Write down what Two-level game theory claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Two-level game theory before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Two-level game theory ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Two-level game theory

In research
Two-level game theory appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Two-level game theory in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Two-level game theory is common in secondary-school and first-year university syllabi. It links to neighbouring topics Dispute resolution, Game theory, International relations, so understanding it makes those chapters shorter.
In everyday life
Look for Two-level game theory outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Two-level game theory in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Two-level game theory means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Two-level game theory out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Two-level game theory in simple terms?

Two-level game theory is a political model, derived from game theory, that illustrates the domestic-international interactions between states. It was originally introduced in 1988 by Robert D.

Why does Two-level game theory matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Two-level game theory?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Two-level game theory.

Tags

  • Dispute resolution
  • Game theory
  • International relations
  • Negotiation
  • Political science stubs

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