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

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 EquilibriumBayesian Games (Games of Incomplete Information)Moral HazardMoral Hazard and Optimal Contracting

Longest path: 80 steps · 402 total prerequisite topics

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