The four elements don't operate independently. They compound.
mindmap
root((Competitive Pokémon))
Long-term Planning
Resource shrinkage
Type synergy chains
Sacrifice for position
Early vs late game
Simultaneous Actions
Decision matrix
Opponent modeling
Mind games
Guaranteed win conditions
Imperfect Information
Hidden movesets
Unknown held items
Bench Pokémon
Bluffs and traps
Probability Management
Move accuracy
Secondary effects
Critical hits
Damage rolls
KO thresholds
How the four elements multiply each other
Long-term + Probability: Randomness makes futures branch into trees, not straight lines. A missed Will-O-Wisp creates a timeline where your entire burn-based strategy fails. You had to plan for both worlds.
Simultaneous + Imperfect: You don't know your opponent's moves and you're choosing at the same time. These aren't additive difficulties - they're multiplicative. Every possible action you take must be evaluated against every possible thing they might do, including options you didn't know existed.
Probability + Imperfect: Your Will-O-Wisp has 85% accuracy. But does their Gyarados hold a Lum Berry (cures status once)? Unknown. Your 85% just became substantially worse in expectation, by an amount you can't calculate because you don't know the item.
All four together: The possible outcomes of one turn in a real double battle aren't a grid. They aren't a cube. They're a skyscraper of probability distributions, each floor its own contingent universe.