Simplified Trees

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Definition

Simplified trees are reduced versions of the complete poker game tree, used by solvers because the full tree is too large to compute.

Simplification makes solving possible, but introduces approximation

Why Simplification Is Necessary

Full Tree Problem
Every possible bet size Infinite options
Every chip amount Billions of nodes
Every possible runout Exponential growth

Reality: No computer can solve the complete poker game tree.

Types of Simplification

1. Bet Size Abstraction

Full Game Simplified
Bet any amount 33%, 50%, 75%, 100%, 150% pot
Infinite options 4-6 options

2. Action Abstraction

Full Game Simplified
Check, bet, raise Check, bet (limited sizes)
Multiple raise sizes 1-2 raise options

3. Card Abstraction

Full Game Simplified
All possible runouts Grouped similar runouts
K♠ vs K♥ Often treated same

Impact of Simplification

Fewer Options More Options
Faster solves Slower solves
Less accurate More accurate
Miss some strategies Capture more nuance

Setting Up Good Trees

Bet Sizes to Include

Street Common Sizes
Flop 33%, 75%
Turn 50%, 75%, 100%
River 50%, 75%, 100%, 150%+

When to Add More Sizes

Situation Consider Adding
Deep stacks Larger sizings
Studying overbets 150%+ pot options
Specific spots Sizes villain uses

Common Tree Setups

Simple (Fast)

Street Sizes
Flop 50%
Turn 66%
River 66%, all-in

Good for: Quick study, general patterns

Standard

Street Sizes
Flop 33%, 75%
Turn 50%, 75%
River 50%, 100%

Good for: Most studying

Complex (Slow)

Street Sizes
Flop 25%, 50%, 75%, 125%
Turn 33%, 66%, 100%, 150%
River 50%, 75%, 100%, 150%, 200%

Good for: Detailed analysis, specific spots

Trade-offs

Priority Choose
Speed Fewer sizes
Accuracy More sizes
General learning Simple trees
Specific spots Complex trees

Interpretation Tips

If Solver Uses It Might Mean
Largest available size Would use bigger if available
Smallest available size Wants to bet small
Mix of sizes Sizing matters for that hand

Key Takeaway

Simplified trees make solver work possible but approximate reality. Include bet sizes that match real games, balance speed vs accuracy, and understand that missing sizes affect results. For learning patterns, simpler trees work fine; for specific spots, add more options.

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