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Moral Hazard and Optimal Contracting

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information asymmetry moral hazard principal-agent

Core Idea

Moral hazard arises when an agent's hidden actions (effort, risk-taking) are unobservable to a principal who bears the cost. The principal cannot condition payment on effort, so must use output-based contracts to incentivize. Optimal contracts balance incentive provision (high-powered) against risk imposition on risk-averse agents (low-powered). Insurance, employment, and debt contracts exemplify this tradeoff: full insurance eliminates incentive; no insurance removes the principal's control.

Explainer

From your prerequisite study of moral hazard, you know the core problem: a principal (employer, insurer, lender) wants an agent (employee, policyholder, borrower) to take a costly action — exert effort, drive carefully, run the business prudently — but cannot directly observe whether they do. The question now is: what contract should the principal offer? The answer is not obvious because there are two things the principal wants simultaneously, and they pull in opposite directions.

The first goal is risk sharing. If the agent is risk-averse and the principal is risk-neutral (or has better access to diversification), efficiency requires that the principal absorb the output variability. The agent should receive a fixed payment regardless of outcomes. A salaried employee is the clearest example: the employer takes the revenue risk, the worker gets a stable paycheck. But here is the problem: once the employee's income is fixed, they bear no personal cost from low output. The effort-supply incentive disappears entirely. This is the fundamental tension.

The second goal is incentive provision. To restore effort incentives, the contract must make the agent's pay depend on output. A commission salesperson earns more when they sell more — that creates incentive. But now the agent bears outcome risk that partly reflects luck, not just effort. A good salesperson can have a bad quarter because of macro conditions. Forcing them to bear that risk is inefficient from a pure insurance standpoint. The optimal contract navigates this tradeoff: it imposes just enough output-contingent pay to induce the desired effort level, and no more. The tradeoff is often called risk vs. incentives: high-powered contracts (large pay-for-performance) provide strong incentives but impose large risk; low-powered contracts (near-flat pay) impose little risk but provide weak incentives.

Applications across domains follow the same logic. Insurance: full coverage eliminates the policyholder's incentive to prevent loss (drive carefully, lock doors). Insurers respond with deductibles and co-pays — partial loss-bearing restores prevention incentives. Debt: once a firm is deeply insolvent, shareholders bear no additional downside but capture any upside, so they have incentive to take excessive risk ("gambling for resurrection"). Equity-based executive compensation aligns manager incentives with shareholders but forces executives to hold concentrated, undiversified wealth. In each case, the contract designer faces the same tradeoff and picks an interior solution that accepts some inefficiency on one dimension to reduce inefficiency on the other.

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 → Moral Hazard → Moral Hazard and Optimal Contracting

Longest path: 105 steps · 558 total prerequisite topics

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