Start by framing the interference problem and why IV is appropriate, then systematically cover the IV assumptions, propose two concrete instruments (e.g., driver supply shocks and weather events), write out the first- and second-stage equations, and finally discuss diagnostics (weak instruments, overidentification, clustering, exclusion restriction). Conclude by addressing how unlimited supply affects the exclusion restriction, arguing it weakens it because supply-side shocks can directly affect demand or other outcomes.
Pro tip: Emphasize that in marketplace settings, the exclusion restriction is often violated because instruments like driver supply shocks can influence rider behavior through wait times or prices, so you must carefully argue why your instrument affects trip volume only through the endogenous variable (e.g., driver acceptance rate).
Explain why A/B testing fails due to interference (spillovers between riders/drivers) and introduce IV as a solution. List the four core IV assumptions: relevance, exclusion, independence, and monotonicity (for LATE).
Suggest at least two instruments: (1) exogenous driver supply shocks (e.g., local events causing driver influx) and (2) weather shocks (e.g., sudden rain) that affect driver availability but not rider demand directly. Justify their relevance and plausibility for exclusion.
Write the first-stage equation: Endogenous variable (e.g., driver acceptance rate) = α + β*Instrument + γ*Controls + ε. Second-stage: Trip volume = δ + θ*Predicted(Endogenous) + λ*Controls + ν. Clarify the endogenous variable and how instruments shift it.
Discuss diagnostics: weak instruments (first-stage F-stat > 10, or use Cragg-Donald), overidentification (Sargan/Hansen J test if multiple instruments), clustering standard errors at the market or time level, and assess exclusion restriction violations via placebo tests or sensitivity analysis.
Argue that effectively unlimited supply weakens the exclusion restriction because supply-side instruments may directly affect demand (e.g., shorter wait times increase rider demand) or other outcomes, violating the exclusion restriction. Explain that with unlimited supply, the instrument might not only shift supply but also influence trip volume through channels other than the endogenous variable.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.