线性价值

Overview

Linear Value (also called "linear betting") refers to a range construction where a player bets only with hands that have high showdown value and expects to be called by worse hands. Unlike a polarized range, which consists of very strong hands and weak bluffs, a linear range contains only hands that are ahead of the opponent's calling range. This strategy is typically employed as an exploitative adjustment against opponents who over-fold or are overly cautious.

Usage

In a linear value scenario, the bettor does not include any bluffs or semi-bluffs in their betting range. All bet hands are clear value hands that aim to extract money from worse hands. For example, on a dry board (e.g., K♠7♥2♦), a player might bet with all top pair or better hands but never bet with draws or air. This contrasts with a balanced approach where some draws are bet as semi-bluffs.

Linear value is often used in the following situations:

• Against opponents who fold too much, making bluffs unnecessary because they already fold enough; only value bets are profitable.
• In multi-way pots where bluffing becomes less effective due to multiple opponents.
• On very dry or static boards where few draws exist, so a polarized range would lose credibility.

Advantages and Disadvantages

Advantages:

• Simple to execute: no need to balance bluffs or worry about range composition.
• Exploits opponents who are overly tight or make big folds.
• Reduces variance because bluffs are removed.

Disadvantages:

• Predictable: observant opponents can fold all non-premium hands when facing a bet, knowing no bluffs are present.
• Misses opportunities to bluff when opponents fold too much in certain spots.
• Vulnerable to opponents who adjust by calling lighter, rendering the linear value range unprofitable.

Comparison with Polarized Range

A polarized range divides hands into two groups: very strong hands (value) and weak hands (bluffs). In contrast, a linear range includes only medium-to-strong hands, no bluffs. For example, on a board of A♠J♥8♦, a polarized bettor might bet top pair and a gutshot draw as a bluff. A linear bettor would only bet top pair or better, checking all draws. Linear betting is generally considered a simpler but less adaptive strategy, often used in low-stakes games or against predictable opponents.

Example Scenario

Consider a heads-up pot on the turn with board T♣9♠4♦3♦. Hero holds A♠T♠ (top pair top kicker). A linear value strategy would bet the turn for value, expecting to be called by worse pairs (e.g., K♣T♣) and draws. Hero would never bet a hand like Q♥J♥ (missed straight draw) as a bluff. While this avoids getting caught in bluffs, it also fails to apply pressure when Hero’s range should be scary.