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The Wheel of (Over)Time

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In the United States public sector, there are many examples where overtime is allocated informally, and overtime earnings are concentrated among a small number of government workers. Is this government inefficiency driven by insider influence, or an efficient reflection of worker preferences? We study the Los Angeles Department of Transportation, where a few traffic officers earned more than $100,000 in overtime over 1.5 years. A constantly rotating list called “the wheel” assigns overtime equally initially, but officers are allowed to informally trade. Using novel daily personnel records, we recover the position of the wheel as well as the time-varying network of potential relationships between officers. Officers are several times more likely to work overtime when they are well-connected to coworkers likely endowed with overtime. Nevertheless, overtime inequality primarily reflects underlying differences in preferences. Informal trading achieves 93.8% of the maximum possible allocative efficiency, or $4.15 million more than random assignment. This is because the cost of accessing overtime is low and the informal trade network is encoded with the overtime preferences of officers. As a result, replacing informal trading with formal auctions where officers bid wages has little impact on allocative efficiency, a modest 4.8% cost reduction for the government, and a 8.8% increase in overtime inequality.