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Screening and Contract Menus

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Adverse Selection and SignalingMechanism Design: Strategic Implementation+1 more→→Adverse Selection and Screening MechanismsThe Principal-Agent Problem
contract-theory information-asymmetry mechanism-design

Core Idea

Screening describes actions by the uninformed party to differentiate types of the informed party. The principal designs a menu of contracts (bundles of terms and conditions) such that self-interested agents of different types choose different contracts, revealing their types. Incentive compatibility constraints ensure each type prefers contracts designed for them.

Explainer

Signaling and screening are two sides of the same information asymmetry coin. In signaling, the *informed* party moves first — a worker gets a degree to prove ability. In screening, the *uninformed* party moves first, designing a set of options that induce the informed party to sort themselves. Think of an insurance company that cannot observe whether applicants are high-risk or low-risk. Instead of asking (cheap talk), the company offers a menu of contracts: one with a high premium and low deductible, another with a low premium and high deductible. The key insight is that if the menu is designed correctly, each type voluntarily chooses the contract intended for them, and their choice reveals their private information.

The mechanism works through self-selection. High-risk individuals, who expect to file many claims, prefer comprehensive coverage even at a higher premium — the high deductible would cost them more in expected out-of-pocket expenses. Low-risk individuals, who rarely file claims, prefer to save on premiums and accept the higher deductible, since they are unlikely to pay it. The uninformed party (the insurer) never needs to ask "are you risky?" — the menu of contracts extracts this information through revealed preference. Each type's choice is incentive-compatible: given the options available, no type wants to pretend to be a different type.

Designing incentive-compatible menus requires satisfying two sets of constraints simultaneously. The participation constraints ensure each type prefers their designated contract to walking away entirely. The incentive compatibility (IC) constraints ensure each type prefers their designated contract to the one designed for other types. In practice, the binding IC constraint is typically the one preventing the "good" type from being mimicked by the "bad" type. To prevent high-risk individuals from choosing the low-risk contract (which has cheaper premiums), the principal must distort the low-risk contract away from its first-best design — offering less coverage than low-risk types would receive under full information. This distortion is the cost of asymmetric information: the low-risk type gets a worse deal than they would in a world where risk types were observable.

A key result is that the top type gets no distortion but the bottom type does. In the insurance example, high-risk types receive their first-best full-coverage contract (no reason to distort it — no one wants to mimic a high-risk type). Low-risk types receive a distorted contract with less coverage than ideal. This "no distortion at the top" result generalizes across screening models — from nonlinear pricing to labor contracts to regulation. The pattern reflects a deep economic logic: the principal sacrifices efficiency for the lower type to reduce the information rent — the extra surplus — that must be left to the higher type to keep them from mimicking. Screening is never as efficient as full-information contracting, but it recovers substantial value by cleverly harnessing the informed party's self-interest as a sorting mechanism.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Literal Equations → Slope-Intercept Form → Point-Slope Form → Writing Linear Equations → Parallel and Perpendicular Line Slopes → Graphing Linear Equations → Piecewise Functions → One-Sided Limits → Continuity Definition → Limits and Continuity in Multiple Variables → Functions of Several Variables → Continuity in Multiple Variables → Partial Derivatives: Definition and Computation → Differentiability in Multiple Variables → Differentiability in Multivariable Functions → Total Differential and Linear Approximation → Chain Rule for Multivariable Functions → Implicit Differentiation → Related Rates → Optimization Problems → Critical Points of Multivariable Functions → Critical Points and Classification of Extrema → Second Partial Test for Local Extrema (Hessian) → The Hessian Matrix and Second Derivative Test → Unconstrained Optimization: Finding Extrema → Optimization in Multiple Variables → Lagrange Multipliers → Constrained Optimization and Lagrange Multipliers → Utility and Preferences → Marginal Utility and Diminishing Returns → Profit Maximization → Perfect Competition → Shutdown and Breakeven Decisions → Monopoly → Monopolistic Competition → Oligopoly and Strategic Behavior → Game Theory Basics → Nash Equilibrium → Bayesian Games (Games of Incomplete Information) → Mechanism Design: Strategic Implementation → Individual Rationality (Participation Constraint) → Incentive Compatibility and Individual Rationality → Screening and Contract Menus

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