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Theory of the second best

Theory of the second best 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 Theory of the second best rather than just read about it. In short: In welfare economics, the theory of the second best concerns the situation when one or more optimality conditions cannot be satisfied. The economists Richard Lipsey and Kelvin Lancaster showed in 1956 that if one optimality condition in an economic model cannot be satisfied, it is possible that the next-best solution involves changing other variables away from the values that would otherwise be optimal.

Key takeaways

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

Reference excerpt

In welfare economics, the theory of the second best concerns the situation when one or more optimality conditions cannot be satisfied. The economists Richard Lipsey and Kelvin Lancaster showed in 1956 that if one optimality condition in an economic model cannot be satisfied, it is possible that the next-best solution involves changing other variables away from the values that would otherwise be optimal. Politically, the theory implies that if it is infeasible to remove a particular market distortion, introducing one or more additional market distortions in an interdependent market may partially counteract the first, and lead to a more efficient outcome.

Implications In an economy with some uncorrectable market failure in one sector, actions to correct market failures in another related sector with the intent of increasing economic efficiency may actually decrease overall economic efficiency. In theory, at least, it may be better to let two market imperfections cancel each other out rather than making an effort to fix either one. Thus, it may be optimal for the government to intervene in a way that is contrary to usual policy. This suggests that economists need to study the details of the situation before jumping to the theory-based conclusion that an improvement in market perfection in one area implies a global improvement in efficiency.

Application Even though the theory of the second best was developed for the Walrasian general equilibrium system, it also applies to partial equilibrium cases.

Common misinterpretation A common misinterpretation of the theory, sometimes termed the fallacy of exhaustive effort, is the assumption that when one optimality condition cannot be satisfied, satisfying as many of the remaining conditions as possible must yield the second-best outcome. The theory of the second best demonstrates the opposite: because optimality conditions are typically derived from an interdependent system, perturbing one condition alters the marginal trade-offs throughout the entire system, so the second-best optimum generally requires violating all remaining conditions as well. This misinterpretation is related to piecemeal social engineering and contrasts with the holistic policy design that the theory prescribes. In practice, the error arises when policymakers treat the individual conditions for a first-best outcome as separately desirable goals—for example, liberalising trade while ignoring an environmental externality because "free trade is good," or deregulating markets while assuming away imperfect information because "competition is good." Each such prescription satisfies one condition from the first-best list, but without the others in place, it can reduce welfare relative to doing nothing at all.

References

External links Introduction to Second Best in legal theory "The Fallacy of Exhaustive Effort: Why Leaving No Stone Unturned Can Bury You" — Marginal Lab

Worked examples

Example 1 — a first encounter with Theory of the second best

Start with the simplest possible case. Write down what Theory of the second best 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 Theory of the second best 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 Theory of the second best 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 Theory of the second best

In research
Theory of the second best 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 Theory of the second best 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
Theory of the second best is common in secondary-school and first-year university syllabi. It links to neighbouring topics Market failure, Microeconomic theories, Welfare economics, so understanding it makes those chapters shorter.
In everyday life
Look for Theory of the second best 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 Theory of the second best in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Theory of the second best 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 Theory of the second best out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Theory of the second best in simple terms?

In welfare economics, the theory of the second best concerns the situation when one or more optimality conditions cannot be satisfied. The economists Richard Lipsey and Kelvin Lancaster showed in 1956 that if one optimality condition in an economic model cannot be satisfied, it is possible that the…

Why does Theory of the second best 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 Theory of the second best?

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 Theory of the second best.

Tags

  • Market failure
  • Microeconomic theories
  • Welfare economics

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