Three departments share data through an AI platform:
- Marketing contributes 40% of the data, wants 50% of the insights
- Sales contributes 35% of the data, wants 40% of the insights
- Operations contributes 25% of the data, wants 30% of the insights
Each department’s requests total 120% of available insights. How should the AI system fairly allocate insights to minimize dissatisfaction?
Note: This is a complex problem. But here is a simplified answer. We have to go deep into calculus to come up with a better answer (which only varies by a small percentage). If any of you can do the math, please feel free to provide a more “accurate” percentage allocation.
Simplified Answer: To minimize dissatisfaction (by equalizing the absolute shortfall from their requests), the AI system should allocate insights as follows:
· Marketing: 43.33% of insights (shortfall of 6.67% from desired 50%)
· Sales: 33.33% of insights (shortfall of 6.67% from desired 40%)
· Operations: 23.33% of insights (shortfall of 6.67% from desired 30%)
This ensures that each department experiences the same absolute dissatisfaction, which is fair and minimizes the maximum dissatisfaction.