1.2 Three- and Four-Term Contingencies (MOs, EOs, AOs, SDs)

Key Takeaways

  • The three-term contingency (SD -> R -> SR/SP) forms the basic unit of operant analysis, illustrating how antecedents set the occasion for responses that produce consequences.
  • The four-term contingency integrates Motivating Operations (MO -> SD -> R -> SR/SP) to account for momentary changes in reinforcer value and behavior frequency.
  • Motivating Operations (MOs) have two distinct effects: a value-altering effect (altering the effectiveness of a consequence) and a behavior-altering effect (altering the current frequency of behavior).
  • Establishing Operations (EOs) increase reinforcer value and evoke behavior; Abolishing Operations (AOs) decrease reinforcer value and abate behavior.
  • Conditioned Motivating Operations (CMOs) are divided into three clinical types: CMO-Surrogate (CMO-S), CMO-Reflexive (CMO-R), and CMO-Transitive (CMO-T).
Last updated: July 2026

Three- and Four-Term Contingencies (MOs, EOs, AOs, SDs)

Understanding operant behavior requires analyzing the environmental context that precedes, accompanies, and follows a response. In behavior analysis, the fundamental unit of analysis is the contingency—the dependent relation between environmental events and behavior.


The Three-Term Contingency

Formulated by B.F. Skinner, the three-term contingency (also called the $S^D \to R \to S^R$ paradigm) describes operant conditioning:

Discriminative Stimulus (SD)Response (R)Reinforcing Consequence (SR)\text{Discriminative Stimulus } (S^D) \longrightarrow \text{Response } (R) \longrightarrow \text{Reinforcing Consequence } (S^R)

  1. Discriminative Stimulus ($S^D$): An antecedent stimulus present in the environment that signals the availability of reinforcement for a specific response, because that response has been reinforced in its presence in the past.
  2. Response ($R$): The observable unit of behavior emitted by the organism.
  3. Consequence ($S^R$ or $S^P$): The stimulus change that immediately follows the response, altering the future probability of that behavior occurring under similar antecedent conditions.

While the three-term contingency explains how antecedents evoke behavior through a history of differential reinforcement, it fails to explain why a person responds to an $S^D$ at certain times but completely ignores it at others. To resolve this limitation, Jack Michael introduced the concept of the Motivating Operation (MO).


The Four-Term Contingency: Integrating Motivating Operations

The four-term contingency expands the framework to incorporate the momentary internal or environmental state of the organism:

Motivating Operation (MO)Discriminative Stimulus (SD)Response (R)Consequence (SR)\text{Motivating Operation } (MO) \longrightarrow \text{Discriminative Stimulus } (S^D) \longrightarrow \text{Response } (R) \longrightarrow \text{Consequence } (S^R)

An MO is an antecedent event, condition, or stimulus operation that temporarily alters two distinct aspects of behavior:

The Dual Effects of Motivating Operations

Every MO exerts both a Value-Altering Effect and a Behavior-Altering Effect simultaneously:

  1. Value-Altering Effect: An alteration in the reinforcing or punishing effectiveness of a stimulus, object, or event.
    • Establishing Effect: Increases the effectiveness of a stimulus as a reinforcer.
    • Abolishing Effect: Decreases the effectiveness of a stimulus as a reinforcer.
  2. Behavior-Altering Effect: An alteration in the current frequency, latency, duration, or magnitude of all behaviors that have been reinforced or punished by that stimulus in the past.
    • Evocative Effect: An immediate increase in the current frequency of behavior.
    • Abative Effect: An immediate decrease in the current frequency of behavior.

Establishing Operations (EOs) vs. Abolishing Operations (AOs)

Based on these dual effects, MOs are classified into two primary operational categories:

MO TypeValue-Altering EffectBehavior-Altering EffectClinical Example
Establishing Operation (EO)Establishing Effect: Increases the reinforcing value of a consequence.Evocative Effect: Evokes (increases current frequency of) behaviors that produced that consequence.Fluid deprivation for 8 hours increases the value of water and immediately evokes manding for water or searching the kitchen.
Abolishing Operation (AO)Abolishing Effect: Decreases the reinforcing value of a consequence.Abative Effect: Abates (decreases current frequency of) behaviors that produced that consequence.Drinking 1 liter of water produces satiation, abolishing the value of water and abating water-seeking behavior.

Unconditioned vs. Conditioned Motivating Operations

MOs are further categorized by whether their value-altering effects are unlearned (innate) or learned through conditioning history:

1. Unconditioned Motivating Operations (UMOs)

Events, operations, or stimulus conditions whose value-altering effects are unlearned (phylogenic origin). Examples include human biological states: food deprivation/satiation, water deprivation/satiation, sleep deprivation/satiation, oxygen deprivation, temperature changes (too cold/too hot), and painful stimulation.

2. Conditioned Motivating Operations (CMOs)

Stimulus conditions whose value-altering effects are learned through ontogenic conditioning history. CMOs alter the value of other consequences and evoke or abate behaviors associated with them. Jack Michael classified CMOs into three clinically vital subtypes:

A. CMO-Surrogate (CMO-S)

A previously neutral stimulus that has been paired with an MO and takes on the exact same value-altering and behavior-altering effects as the MO with which it was paired.

  • Example: A clock displaying 12:00 PM has consistently been paired with food deprivation and lunch. The clock face itself begins to function as a CMO-S, establishing food as a reinforcer and evoking eating behavior even if biological hunger is minimal.

B. CMO-Reflexive (CMO-R)

A stimulus condition that acquires its effectiveness by preceding a situation of worsening or improving conditions. A CMO-R establishes its own termination as a reinforcer and evokes any behavior that has historically escaped or avoided that worsening condition.

  • Example: A supervisor delivers a harsh tone of voice followed by demanding, punitive corrective tasks. The harsh tone becomes a CMO-R signaling worsening conditions. It establishes the removal of the supervisor as a reinforcer and evokes escape/avoidance behaviors (e.g., walking away, making excuses).

C. CMO-Transitive (CMO-T)

An environmental variable that establishes the reinforcing value of another stimulus, tool, or person that is necessary to accomplish an outcome, where that secondary item was previously ineffective as a reinforcer.

  • Example: A client receives a locked container holding a highly prized reinforcer (favorite toy). The locked container acts as a CMO-T. It establishes the key (or manding 'Key please') as a powerful conditioned reinforcer because the key is required to access the toy.

Distinguishing Discriminative Stimuli ($S^D$) from Motivating Operations (MO)

A frequent trap on the QBA exam is confusing an $S^D$ with an MO. Both are antecedent variables that evoke behavior, but they operate through fundamentally different mechanisms:

FeatureDiscriminative Stimulus ($S^D$)Motivating Operation (MO)
Primary FunctionSignals the availability or probability of reinforcement.Alters the value (desirability) of a reinforcer.
Core QuestionIs the reinforcer available right now?How much do I want the reinforcer right now?
HistoryDifferential reinforcement history ($S^D$ present vs. $S^D$ absent).History of deprivation, satiation, or conditioned paired events.
Clinical ExampleVending machine display light is ON ($S^D$ signaling snacks are available).Food deprivation for 6 hours (EO establishing snacks as valuable).

Applied Clinical Example for QBA Practice

Consider a child in a classroom who engages in property destruction when presented with a complex math worksheet. The math worksheet acts as a CMO-R: it signals an impending period of high task demand (worsening condition). This CMO-R temporarily establishes task escape as a powerful reinforcer and evokes property destruction (which has previously produced task removal).

To intervene, a QBA might modify the MO by reducing task length or embedding breaks (turning off the CMO-R), while simultaneously teaching a functional communication alternative (manding for a break).

Impact of MO State on Current Rate of Behavior (Evocative vs. Abative)
Test Your Knowledge

A student is assembling a wooden birdhouse during a vocational task. The teacher hands the student a wooden block and screw, but withholding the screwdriver. The student immediately looks up and mands, 'Screwdriver, please.' In this scenario, what function does withholding the screwdriver serve?

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B
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D
Test Your Knowledge

Which of the following statements correctly distinguishes a Discriminative Stimulus (SD) from an Establishing Operation (EO)?

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B
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D
Test Your Knowledge

A behavior analyst notices that whenever a therapist enters the room wearing a blue clipboard, severe escape-maintained behavior increases immediately before any demands are presented. The blue clipboard has been consistently paired with difficult demand sessions. The blue clipboard is functioning as a:

A
B
C
D