What are the determinants and implications of different organizational structures?
“[D]etermine how much each employee knows, how many employees to hire, and how many layers of management to use in production”
Exist to “solve coordination problems in the presence of specialization” (Garicano 2000)
“a group of employees, with similar characteristics summarized in their knowledge, who perform similar tasks within the organization. Conceptually, these layers are hierarchical in the sense that higher layers of management are smaller and include more knowledgeable employees who have as subordinates employees in lower layers.”
Our challenge: “Dividing the employees in real firms into layers requires some mapping between these concepts and the data.”
The tradeoff: gains from specialization vs. costs of communication + fixed cost of training managers
Other than knowledge hierarchy, the direct empirical content of these theories is limited
We focus on
We implement the Huitfeldt et al. (2023, J of Econometrics) method
Steps:
Intuition: job transitions reveal the ranking of titles and cluster based on similar ranks
| Candidate ranking | Violations |
|---|---|
| Ranking 1 (blue) | 0 |
| Ranking 2 (orange) | 0 |
| VP, Sales below Sales Manager | 1 |
| CEO at the bottom | 2 |
Example: Regal Entertainment
| Mean | SD | Min | Median | Max | N | |
|---|---|---|---|---|---|---|
| Number of internal labor markets | 254.96 | 263.82 | 1.00 | 183.00 | 2678.00 | 3,454 |
| Size of largest ILM (roles) | 190.53 | 316.58 | 1.00 | 91.00 | 3900.00 | 3,454 |
| Number of unique roles | 304.14 | 392.41 | 2.00 | 188.00 | 4623.00 | 3,454 |
| % role in largest ILM | 55.00 | 20.35 | 3.77 | 58.82 | 100.00 | 3,454 |
| % worker-years in largest ILM | 77.27 | 20.47 | 25.00 | 85.04 | 100.00 | 3,454 |
| Employees (Compustat, 1000s) | 7.99 | 37.41 | 0.00 | 0.98 | 1556.00 | 3,406 |
| Number employees (LinkedIn, '000s) | 3.23 | 11.37 | 0.00 | 0.64 | 325.56 | 3,454 |
| Number hierarchy layers (selected) | 6.35 | 2.14 | 2.00 | 6.00 | 18.00 | 3,454 |
| Hierarchization (German) | 0.60 | 0.10 | 0.00 | 0.62 | 1.00 | 1,091 |
| Hierarchization (ONet) | 0.51 | 0.12 | 0.00 | 0.52 | 0.76 | 3,454 |
| Hierarchization (this paper) | 0.77 | 0.10 | 0.14 | 0.79 | 0.91 | 3,326 |
https://hierarchy-coverage-sim.onrender.com/
We are confident that this data-driven measure captures the basic feature of a quality hierarchy measure.
| Employees | Tenure (log years) | |||
|---|---|---|---|---|
| % new | % promote | Non-new | All | |
| layer | ||||
| (1) | (2) | (3) | (4) | |
| log # layers (t−1) | -0.015*** | 0.0053*** | 0.067*** | 0.094*** |
| (0.0036) | (0.0016) | (0.022) | (0.026) | |
| Observations | 22,531 | 22,531 | 22,531 | 22,531 |
| # firms | 3,314 | 3,314 | 3,314 | 3,314 |
| Mean dep. var. | 0.18 | 0.04 | 1.72 | 1.51 |
| R² | 0.03 | 0.00 | 0.07 | 0.07 |
| Size decile FE? | Y | Y | Y | Y |
| Year FE? | Y | Y | Y | Y |
| Industry FE? | Y | Y | Y | Y |
| ESOP? | Internal | CEO | CEO | |
|---|---|---|---|---|
| CEO | pay | pay ratio | ||
| (5) | (6) | (7) | (8) | |
| log # layers (t−1) | 0.095*** | 0.026 | 0.065 | 35.3*** |
| (0.024) | (0.056) | (0.064) | (5.78) | |
| Observations | 13,578 | 1,215 | 11,198 | 7,278 |
| # firms | 2,073 | 863 | 1,470 | 1,865 |
| Mean dep. var. | 0.14 | 0.59 | 8.60 | 109.32 |
| R² | 0.10 | 0.00 | 0.31 | 0.29 |
| Size decile FE? | Y | Y | Y | Y |
| Year FE? | Y | Y | Y | Y |
| Industry FE? | Y | Y | Y | Y |
| Stock σ | ||
|---|---|---|
| Wins. | ||
| (1) | (2) | |
| log # layers (t−1) | -0.044*** | -0.042*** |
| (0.011) | (0.010) | |
| Observations | 20,071 | 20,071 |
| # firms | 3,146 | 3,146 |
| Mean dep. var. | 0.54 | 0.53 |
| R² | 0.19 | 0.23 |
| Size decile FE? | Y | Y |
| Industry FE? | Y | Y |
| Year FE? | Y | Y |
| Operations and financial | ||||
|---|---|---|---|---|
| σ(OA) | σ(CF) | Debt/Assets | Cash/Assets | |
| (3) | (4) | (5) | (6) | |
| log # layers (t−1) | -0.033** | -0.0063 | -0.0024 | -0.025*** |
| (0.016) | (0.0047) | (0.011) | (0.0083) | |
| Observations | 20,025 | 15,273 | 19,284 | 21,916 |
| # firms | 3,145 | 2,572 | 2,966 | 3,302 |
| Mean dep. var. | 0.40 | 0.04 | 0.28 | 0.23 |
| R² | 0.10 | 0.14 | 0.05 | 0.10 |
| Size decile FE? | Y | Y | Y | Y |
| Industry FE? | Y | Y | Y | Y |
| Year FE? | Y | Y | Y | Y |
| Monthly value-weighted long-short return (Q4-Q1), 2016–2024 | ||||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| α | -0.0035 | -0.0047** | -0.0059*** | -0.0048** | -0.0044** | -0.0057*** |
| (0.0024) | (0.0020) | (0.0019) | (0.0020) | (0.0020) | (0.0019) | |
| R m - r f | -0.072 | 0.0072 | -0.033 | 0.016 | -0.026 | -0.044 |
| (0.052) | (0.057) | (0.047) | (0.060) | (0.065) | (0.057) | |
| SMB | -0.37*** | -0.21* | -0.36*** | -0.42*** | -0.25** | |
| (0.10) | (0.11) | (0.10) | (0.093) | (0.10) | ||
| HML | 0.17*** | 0.095 | 0.13** | 0.14*** | 0.033 | |
| (0.060) | (0.062) | (0.059) | (0.055) | (0.071) | ||
| RMW | 0.41*** | 0.37*** | ||||
| (0.11) | (0.11) | |||||
| CMA | 0.085 | 0.11 | ||||
| (0.13) | (0.13) | |||||
| Momentum | -0.13** | -0.11* | ||||
| (0.063) | (0.059) | |||||
| Observations | 108 | 108 | 108 | 108 | 108 | 108 |
| R² | 0.03 | 0.18 | 0.27 | 0.18 | 0.21 | 0.28 |
| Monthly value-weighted long-short return (Q4-Q1), 2016–2024 | ||||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| α | -0.0035 | -0.0047** | -0.0059*** | -0.0048** | -0.0044** | -0.0057*** |
| (0.0024) | (0.0020) | (0.0019) | (0.0020) | (0.0020) | (0.0019) | |
| R m - r f | -0.072 | 0.0072 | -0.033 | 0.016 | -0.026 | -0.044 |
| (0.052) | (0.057) | (0.047) | (0.060) | (0.065) | (0.057) | |
| SMB | -0.37*** | -0.21* | -0.36*** | -0.42*** | -0.25** | |
| (0.10) | (0.11) | (0.10) | (0.093) | (0.10) | ||
| HML | 0.17*** | 0.095 | 0.13** | 0.14*** | 0.033 | |
| (0.060) | (0.062) | (0.059) | (0.055) | (0.071) | ||
| RMW | 0.41*** | 0.37*** | ||||
| (0.11) | (0.11) | |||||
| CMA | 0.085 | 0.11 | ||||
| (0.13) | (0.13) | |||||
| Momentum | -0.13** | -0.11* | ||||
| (0.063) | (0.059) | |||||
| Observations | 108 | 108 | 108 | 108 | 108 | 108 |
| R² | 0.03 | 0.18 | 0.27 | 0.18 | 0.21 | 0.28 |
| Monthly value-weighted long-short return (Q4-Q1), 2016–2024 | ||||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| α | -0.0035 | -0.0047** | -0.0059*** | -0.0048** | -0.0044** | -0.0057*** |
| (0.0024) | (0.0020) | (0.0019) | (0.0020) | (0.0020) | (0.0019) | |
| R m - r f | -0.072 | 0.0072 | -0.033 | 0.016 | -0.026 | -0.044 |
| (0.052) | (0.057) | (0.047) | (0.060) | (0.065) | (0.057) | |
| SMB | -0.37*** | -0.21* | -0.36*** | -0.42*** | -0.25** | |
| (0.10) | (0.11) | (0.10) | (0.093) | (0.10) | ||
| HML | 0.17*** | 0.095 | 0.13** | 0.14*** | 0.033 | |
| (0.060) | (0.062) | (0.059) | (0.055) | (0.071) | ||
| RMW | 0.41*** | 0.37*** | ||||
| (0.11) | (0.11) | |||||
| CMA | 0.085 | 0.11 | ||||
| (0.13) | (0.13) | |||||
| Momentum | -0.13** | -0.11* | ||||
| (0.063) | (0.059) | |||||
| Observations | 108 | 108 | 108 | 108 | 108 | 108 |
| R² | 0.03 | 0.18 | 0.27 | 0.18 | 0.21 | 0.28 |
We have thus far taken layers as given, correlating with firm observables
Consider two explanations: