Interactive Simulation · Economics · Game Theory

Why Does Seniority Tend to Persist?

A mathematical model of workplace rank dynamics. Seniority-based ordering is remarkably stable across organizations. This simulation lets you explore the forces that sustain it and the conditions under which merit-based ordering can take hold.

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How it works

Each dot is an employee. Their horizontal position is fixed by tenure (how long they have been at the organization). Their vertical position is rank, which evolves over time. Color shows competence (blue = lower, red = higher). When the dots align along the diagonal, rank perfectly matches tenure: seniority order is preserved.

Three forces act on each dot's rank every frame:

α · merit
Meritocratic drift
Pulls rank toward competence level. Recognizing and rewarding performance takes time, so this force is often modest.
β · seniority
Seniority spring
Pulls rank back toward what tenure predicts. Captures deferred pay structures, fairness norms, and the stability of long-term employment contracts.
γ · experience
Experience advantage
Reflects the weight of institutional knowledge. When tenure order is disrupted, the cost of transferring accumulated context creates a gravitational pull toward restoring it.
$$dr_i = \bigl[\,\alpha(c_i - \bar{c}) \;-\; \beta(r_i - s_i) \;-\; \gamma H_i\,\bigr]\,dt \;+\; \sigma\,dW_i$$
$s_i$ = rank predicted by tenure alone  ·  $H_i$ = experience-weighted pressure from tenure-order inversions  ·  $\sigma\,dW_i$ = random shocks

The key ratio is α/β. Below roughly 0.5, seniority prevails. Above roughly 2, merit-based ordering takes hold. Most organizations fall between 0.1 and 0.3. Full theory →

5 Scenarios to explore

Each opens the simulation pre-configured and applies a sudden rank reshuffle after one second so you can immediately observe the dynamics. Use the sliders to explore further.

01
Seniority prevails
$\alpha = 0.30 \;\cdot\; \beta = 1.50 \;\cdot\; \gamma = 0.50$
The baseline. A typical organization with strong tenure norms. The seniority spring is robust and competence plays a secondary role in determining rank.
Watch: after the reshuffle, the blue line drops then climbs back. The dot cloud returns to the diagonal.
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02
Merit-based ordering
$\alpha = 1.80 \;\cdot\; \beta = 0.30 \;\cdot\; \gamma \approx 0$
Competence is the primary driver of rank. The seniority spring is weak and tenure plays a smaller role. This regime requires strong and consistent performance feedback structures.
Watch: dots gradually sort by color. Higher-competence dots (warmer colors) rise; lower-competence dots settle lower. The orange line stays elevated.
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03
Strong experience advantage
$\alpha = 0.20 \;\cdot\; \beta = 0.20 \;\cdot\; \gamma = 2.0$
The formal seniority norm (β) is weak, but institutional knowledge carries substantial weight (γ). Recovery after a disruption is sustained by the value of accumulated context rather than by explicit policy.
Watch: recovery is slower and less uniform than Scenario 1, but the seniority ordering is still restored.
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04
Competing forces
$\alpha = 1.0 \;\cdot\; \beta = 1.0 \;\cdot\; \gamma = 0.20$
Merit and seniority forces are nominally equal, yet seniority still prevails. The seniority target spans the full rank range while competence variation is narrower, so the structural weight of tenure wins even at α = β. Recovery is slower and noisier than Scenario 1, and individual dot trajectories are more varied.
Watch: after the reshuffle, τ(rank, tenure) recovers, but more slowly and to a lower ceiling than Scenario 1. Competence plays a detectable but secondary role — dots don't cleanly sort by color, but the variance around the diagonal is visibly higher than in the seniority-dominant case.
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05
Adaptive knowledge dynamics
Scene 2 $\;\cdot\; \alpha = 0.30 \;\cdot\; \beta = 0.80 \;\cdot\; \gamma = 1.50$
Long-tenured employees now adapt their knowledge-sharing behavior in response to rank disruptions. Gold rings show each senior's knowledge concentration intensity in real time.
Watch: after the reshuffle, gold rings intensify on senior dots. As rank order is restored, the rings fade. The equilibrium partly sustains itself through behavior.
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