Adverse Selection

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contract-theory hidden-information information-asymmetry

Core Idea

Adverse selection occurs when one party has private information about their type/quality and this affects contracting. Example: insurance buyers know health risk better than insurers. High-risk types seek coverage eagerly; insurers cannot distinguish types. Standard contracts collapse (high risks drive out low risks). Solutions: screening (insurer offers menu of contracts) or signaling (informed party reveals type).

Explainer

You have learned from Bayesian games and the principal-agent model that strategic interaction looks very different when one party holds private information. Adverse selection is the specific problem that arises when this information concerns a fixed characteristic — a *type* — that exists before any contract is signed. The classic setting is insurance: each buyer knows their own health risk, but the insurer can only observe the population distribution. A high-risk person knows they are likely to file large claims; a low-risk person knows they are unlikely to. The insurer knows that some buyers are high-risk and some are low-risk, but cannot tell them apart.

The trouble begins when the insurer tries to offer a single contract at a price reflecting the average risk in the population. For high-risk buyers, this is a great deal — they will likely collect more in claims than they pay in premiums. For low-risk buyers, it is a bad deal — they are effectively subsidizing the high-risk group. Rational low-risk buyers drop out of the market, leaving a riskier pool. The insurer now faces a pool that is worse than average and must raise prices, which pushes out more low-risk buyers. This unraveling logic — which Akerlof famously analyzed in the market for used cars ("lemons") — shows that adverse selection can cause markets to collapse entirely or serve only the worst risks.

Two solutions have been studied extensively. *Screening* is initiated by the uninformed party (the insurer): rather than offering one contract, the insurer designs a *menu* of contracts. Full coverage at a high premium is attractive to high-risk types; partial coverage at a low premium is designed to attract low-risk types. Crucially, the contracts are designed so that each type prefers the contract meant for them — this is the incentive-compatibility constraint. The resulting *separating equilibrium* effectively extracts the private information through self-selection, but at a cost: the low-risk contract must be distorted below full coverage to deter high-risk mimics, creating an efficiency loss relative to the full-information benchmark.

*Signaling*, by contrast, is initiated by the informed party. Rather than being screened, the high-quality agent voluntarily takes a costly action that only high types can afford (e.g., getting an expensive education, posting a bond, offering a warranty). If the signal is credible — if low-quality types cannot profitably mimic it — the signal separates types and credibly communicates private information. Signaling games, which you will study next, formalize the conditions under which such equilibria exist.

A key institutional implication is that mandatory participation can restore efficiency. If everyone must buy insurance (as in social insurance systems), the adverse selection death spiral is broken — low-risk types cannot exit, so the pooling premium is stable. This is part of the economic rationale for mandatory health insurance coverage requirements, even from a purely efficiency standpoint, separate from any distributional motivation.

Practice Questions 3 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesLiteral EquationsSlope-Intercept FormPoint-Slope FormWriting Linear EquationsParallel and Perpendicular Line SlopesGraphing Linear EquationsPiecewise FunctionsOne-Sided LimitsContinuity DefinitionLimit Definition of the DerivativePower RuleConstant Multiple and Sum/Difference RulesProduct RuleChain RuleDerivatives of Exponential FunctionsDerivatives of Logarithmic FunctionsImplicit DifferentiationComparative StaticsPrice Elasticity of DemandIncome and Cross-Price ElasticityUtility and PreferencesMarginal Utility and Diminishing ReturnsProfit MaximizationPerfect CompetitionShutdown and Breakeven DecisionsMonopolyMonopolistic CompetitionOligopoly and Strategic BehaviorGame Theory BasicsNash EquilibriumMechanism Design: Strategic ImplementationIndividual Rationality (Participation Constraint)Incentive Compatibility and Individual RationalityScreening and Contract MenusAdverse Selection and Screening MechanismsInsurance Markets with Adverse SelectionAdverse Selection

Longest path: 84 steps · 415 total prerequisite topics

Prerequisites (6)

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