🏀 NBA Pareto Analysis

2025-26 Season + All-Time Historical
Generated: 2026-04-13 00:20
2025-26
Current Season
0
Historical Seasons
0
3D Frontier
0
4D Frontier
Dimensions
Filter
0
Frontier Size
63
Total Subsets
0
Avg Strength

🏆 What is the Pareto Frontier?

The Pareto frontier contains players who are not dominated by any other player. A player X dominates player Y if X is ≥ in ALL dimensions and > in at least one. Frontier members represent unique, incomparable excellence.

Radar Comparison (click players)

Dimensions
Filter
0
Frontier Size
63
Total Subsets
Dimensions

🔗 Dominance Hierarchy (DAG)

This graph shows the Pareto dominance structure for top 150 players. Layer 0 (gold) is the Pareto frontier. Edges show direct dominance. Hover for details.

🌐 3D Scatter: PPG × RPG × APG (Color = Layer)
Layer 0
Layer 1
Layer 2
Layer 3+
🏆 Top 100 All-Time (3D: PPG/RPG/APG)
#PlayerSeasonTeamPPGRPGAPGLayerDominance
🌐 3D Scatter: PPG × RPG × APG (Color = STOCKPG)
Color intensity = STOCKPG (Steals + Blocks per game)
🏆 Top 100 All-Time (4D: PPG/RPG/APG/STOCKPG)
#PlayerSeasonTeamPPGRPGAPGSTKLayerDominance

📐 Pareto Analysis Methodology

1. Pareto Dominance

Given two performances A and B, A dominates B if A ≥ B in ALL dimensions AND A > B in at least one.

A dominates B ⟺ (∀d: A[d] ≥ B[d]) ∧ (∃d: A[d] > B[d])

2. Pareto Frontier (Layer 0)

The Pareto frontier contains all performances NOT dominated by any other — unique, incomparable excellence.

3. Pareto Layers

  • Layer 0: Pareto frontier (undominated)
  • Layer 1: Frontier after removing Layer 0
  • Layer N: Frontier after removing Layers 0 to N-1

4. Sub-Pareto Analysis (Current Season)

We compute frontiers for ALL subsets of dimensions (63 for 6D, 7 for 3D).

  • Strength: How many subsets player appears on
  • Min Dim: Smallest subset where Pareto-optimal
  • Best Vars: Variables forming smallest unbeatable combo

5. Dominance Percentage

Dominance % = (# performances dominated) / (Total - 1) × 100

6. 3D vs 4D Analysis

3D: PPG, RPG, APG — the classic stat line
4D: Adds STOCKPG (steals + blocks) for two-way players