# Project Management Gamification System: Internal Market Model

**Revision:** 1.1 (Scalable Framework)

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## 1. Executive Summary

This document defines an internal "Micro-Economy" designed to align **Project Management (PM) Strategy** with **Technical Execution**. By treating time as a finite commodity and labor as a salary-plus-incentive model, the organization fosters a meritocracy where Efficiency, Quality, and Mentorship are the primary drivers of financial reward.

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## 2. The Payout Architecture: Individual vs. Collective

The system utilizes a split weight ($W$) to balance individual managerial accountability with collective technician stability.

### 2.1 The PM Individual "Equity" ($W_{pm}$)

Each PM operates an independent budget. At the end of the fiscal year, their personal bonus base is determined by their specific remaining surplus.

$$B_{pm} = (S_{pm} \cdot W_{pm}) \cdot M_{pm}$$

**Legend:**
- $B_{pm}$: Individual Project Manager Bonus.
- $S_{pm}$: Total annual budget surplus managed by the specific PM.
- $W_{pm}$: PM Equity weight (Standard: 0.25).
- $M_{pm}$: Individual PM Multiplier (Performance Score).

### 2.2 The Technician "Collective Fund" ($W_{tech}$)

To protect technicians from being penalized for working with an inefficient manager, the majority share of surplus from all PMs is diverted into a central pool.

$$B_{tech} = \left( \frac{\sum_{i=1}^{N_{pm}} (S_{pm, i} \cdot W_{tech})}{N_{tech}} \right) \cdot M_{tech}$$

**Legend:**
- $B_{tech}$: Individual Technician Bonus.
- $S_{pm, i}$: Budget surplus of PM $i$.
- $W_{tech}$: Technician Collective weight (Standard: 0.75).
- $N_{pm}$: Total number of Project Managers in the organization.
- $N_{tech}$: Total number of Technicians in the collective pool.
- $M_{tech}$: Individual Technician Multiplier (Performance Score).

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## 3. Market Mechanics & Labor Pricing

### 3.1 Role Categories & The 3-Tier System

Each role in the organization operates on a **3-Tier Progression**, directly tied to the [Training Structure](Training Structure/Roles/).

- **Tier 1 (Junior/Apprentice):** Currently working through "Key Tasks for Qualification." High supervision required.
- **Tier 2 (Qualified/Standard):** Has completed qualification checklists and written exams. Independent operator.
- **Tier 3 (Senior/Lead):** Has completed "Advanced Training," achieved certifications, and is actively mentoring Tier 1 staff.

#### 3.1.1 Resource Constraints
- **Workforce Variables:** 
    - $N_{pm}$: Total Project Managers.
    - $N_{tech}$: Total Technicians ($N_{t1} + N_{t2} + N_{t3}$).
    - $C_{tech}$: Monthly hour capacity per technician (Standard: 160h).
- **PM Monthly Reset ($R$):** Monthly credit allotment adjusted by PM Tier.
    - Tier 1 PM: $R_{base} \cdot 0.8$
    - Tier 2 PM: $R_{base} \cdot 1.0$
    - Tier 3 PM: $R_{base} \cdot 1.2$

### 3.2 Dual-Constraint Pricing ($P_{h}$)

Labor costs fluctuate based on the intersection of **Time ($T$)** (proximity to month-end) and **Scarcity ($S$)** (remaining hours in the Office "vault").

$$P_h = P_{base} \cdot (1 + T_{factor} + S_{factor})$$

**Legend:**
- $P_h$: Current Market Hourly Rate.
- $P_{base}$: Base Hourly Rate (defined by Role/Tier).
- $T_{factor}$: Time-to-Deadline factor (increases as month-end approaches).
- $S_{factor}$: Scarcity factor (increases as total office hours in "The Vault" decrease).

|**Role Category**|**Tier 1 (Junior)**|**Tier 2 (Standard)**|**Tier 3 (Lead)**|**Risk Profile**|
|---|---|---|---|---|
|**Specialists**|$120 / hr|$150 / hr|$180 / hr|0% to 5% Rework Risk|
|**Field Specialists**|$80 / hr|$100 / hr|$120 / hr|5% to 15% Rework Risk|
|**Installers**|$40 / hr|$60 / hr|$80 / hr|10% to 25% Rework Risk|

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## 4. Performance Metrics & Multipliers

Final payouts are adjusted by a multiplier ($M$) ranging from **0.5x to 1.5x**.

### 4.1 Project Manager Multiplier ($M_{pm}$)

$$M_{pm} = (P_{score} \cdot 0.50) + (E_{market} \cdot 0.20) + (D_{mix} \cdot 0.15) + (R_{penalty} \cdot 0.15)$$

**Legend:**
- $P_{score}$: Progress Score (Percentage of milestones met).
- $E_{market}$: Market Efficiency (Success in buying hours before scarcity spikes).
- $D_{mix}$: Diversity Mix (Effective utilization of Tier 1 talent).
- $R_{penalty}$: Rework Penalty (PMs pay Double Market Rate for rework hours).

### 4.2 Technician Multiplier ($M_{tech}$)

$$M_{tech} = (Q_{score} \cdot 0.40) + (V_{speed} \cdot 0.30) + (Ment_{bonus} \cdot 0.20) + (S_{duty} \cdot 0.10)$$

**Legend:**
- $Q_{score}$: Quality Score ($1.0 - (\text{Rework Incidents} \cdot \text{Tier Penalty})$).
- $V_{speed}$: Velocity Score ($\frac{\text{Allotted Hours}}{\text{Actual Hours Worked}}$).
- $Ment_{bonus}$: Mentorship Bonus (Tier 3 Only - speed of Junior qualification).
- $S_{duty}$: Duty Reliability (Safety and site rotation adherence).

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## 5. Operational Protocols: The "Allotment Wall"

- **The Wall:** If a technician reaches the allotted time but the task is unfinished, they **must stop**. The PM must approve and "buy" more time at current market rates ($P_h$) to proceed.
- **Underrun:** If a technician finishes early, they earn "Free Time" (paid for full allotment). 
- **Tiered Audits:** 10% of tasks undergo a random Quality Audit. 
    - Tier 1 tasks are audited by Tier 3 technicians. 
    - Tier 3 tasks are audited by the **Senior Field Operations Coordinator**.
- **Market Support Roles:**
    - **Accountant:** Reconciles the Collective Fund and validates $R_{penalty}$ triggers.
    - **Warehouse Manager:** Controls "Material Liquidity."
    - **Senior Coordinator:** The "Market Maker" who manages the dispatch queue and surge pricing.

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## 6. Conclusion

This framework eliminates the traditional friction between "speed" and "quality." By socializing technician risk through a collective pool while individualizing manager reward through equity accounts, the organization ensures every stakeholder is incentivized to protect the budget, the schedule, and the craft.
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