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
A = noise floor, the average squared rank uncertainty across roles (0.100). Q̂(3) = 0.885 is the spread left inside the three layers. Their ratio is 8.9: three layers leave about nine times the noise unexplained.
| Mean | SD | Min | Median | Max | N | |
|---|---|---|---|---|---|---|
| Number of ILMs (incl. single-role titles) | 103.76 | 85.10 | 1.00 | 83.00 | 710.00 | 3,454 |
| Number of ILMs (excl. single-role titles) | 8.36 | 4.08 | 1.00 | 8.00 | 34.00 | 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 |
LinkedIn sees 74.2% of the occupations the BLS reports, covering 91.1% of their employment
Mid-pay nationally, but near the bottom of pay inside our firms; mostly off the main job ladder or in its middle
Managers and executives overrepresented (a recruiting platform); aides, guards, assemblers, laborers underrepresented
With 16% of roles removed and 68% of headcount kept, the estimator recovers the true layer count in 99.5% of simulated firms; otherwise off by one
Try the simulator: hierarchy-coverage-sim.onrender.com
| Employees | Tenure (log years) | |||
|---|---|---|---|---|
| % new | % promote | Non-new | All | |
| layer | ||||
| (1) | (2) | (3) | (4) | |
| log # layers (t−1) | -0.0080** | 0.0069*** | 0.057*** | 0.073*** |
| (0.0036) | (0.0016) | (0.022) | (0.026) | |
| Observations | 22,257 | 22,257 | 22,257 | 22,257 |
| # firms | 3,304 | 3,304 | 3,304 | 3,304 |
| Mean dep. var. | 0.17 | 0.04 | 1.72 | 1.52 |
| R² | 0.02 | 0.01 | 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*** | 0.028 | 0.064 | 35.0*** |
| (0.024) | (0.055) | (0.064) | (5.77) | |
| Observations | 13,533 | 1,210 | 11,180 | 7,266 |
| # firms | 2,071 | 862 | 1,470 | 1,861 |
| Mean dep. var. | 0.14 | 0.59 | 8.60 | 109.26 |
| R² | 0.10 | 0.01 | 0.30 | 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 |
| Cum. excess return, Feb 3 – Mar 23 2020 | ||||
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| Log # layers | −0.014 | −0.012 | ||
| (0.016) | (0.016) | |||
| Log # layers × Covid industry | −0.073** | −0.074** | ||
| (0.036) | (0.035) | |||
| Log # layers × other industry | −0.0015 | 0.0015 | ||
| (0.017) | (0.017) | |||
| Cash / assets | 0.040 | 0.042 | ||
| (0.027) | (0.027) | |||
| Book leverage | −0.18*** | −0.18*** | ||
| (0.025) | (0.025) | |||
| Size decile FE? | Y | Y | Y | Y |
| Industry FE? | Y | Y | Y | Y |
| Observations | 1,454 | 1,454 | 1,454 | 1,454 |
| Mean dep. var. | −0.36 | −0.36 | −0.36 | −0.36 |
| Adj. R² | 0.23 | 0.26 | 0.23 | 0.27 |
We have thus far taken layers as given, correlating with firm observables
Consider two explanations:
| Log # layers | ||
|---|---|---|
| (5) | (6) | |
| Product market fluidity | −0.0080*** | −0.0039** |
| (0.0013) | (0.0016) | |
| Size decile FE? | Y | Y |
| Industry FE? | N | Y |
| Year FE? | Y | Y |
| Observations | 20,407 | 20,403 |
| # firms | 3,289 | 3,285 |
| Mean dep. var. | 1.81 | 1.81 |
| Adj. R² | 0.06 | 0.19 |