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6.1 (How) incentives work: An overview of empirical studies

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by Fabienne S.

Estimating incentive and sorting effects

Estimating incentive and sorting effects

  • Statistically, the total effect of incentives on performance is estimated from ln 𝑦𝑖𝑡 = 𝛿𝑙𝑖𝑡 + 𝑐𝑜𝑛𝑡𝑟𝑜𝑙𝑠𝑖𝑡 + 𝜀𝑖𝑡 where 𝑦𝑖𝑡 is a measure of performance of agent 𝑖 in period 𝑡, 𝑙𝑖𝑡 is 1 when 𝑖 works under an incentive scheme in 𝑡, and 0 otherwise, controls are variable controlling for other factors that affect performance, e.g., weather, and 𝜀 is the error term reflecting the noise to performance measure that is independent of i 's effort.

  • Coefficient 𝜹 measures the effect of incentives on log performance. That is, performance increases by a factor of exp(𝛿) − 1 as a result of incentives.

    —>Notice: 𝜹 is the total effect: the combination of the incentive and sorting effects.

  • To estimate the pure incentive effect, we must i) focus on the agents who worked before and after incentives were introduced, and ii) control for their characteristics relevant for the sorting effect, such as ability, costs of effort and risk aversion.

  • The easiest way to do so is by using individual fixed effects 𝑢𝑖 , i.e. person-specific dummy variables in the regression equation. They absorb all individual-specific and time-invariant factors affecting productivity. So, assuming ability, costs of effort and risk aversion are constant in time, the pure incentive effect is the coefficient 𝜸 in ln 𝑦𝑖𝑡 = 𝛾𝑙𝑖𝑡 + 𝑐𝑜𝑛𝑡𝑟𝑜𝑙𝑠𝑖𝑡 + 𝜀𝑖𝑡

—>Assuming that the incentive and sorting effects are additive to each other, the sorting effect is estimated as 𝜹 − 𝜸


Author

Fabienne S.

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