Context effects: the proportional difference model and the reflection of preference

Area of Science:

• Decision Science
• Behavioral Economics
• Cognitive Psychology

Background:

• The reflection effect describes how risk preferences reverse between gains and losses.
• Existing models like cumulative prospect theory explain decision-making under risk.
• A stochastic model of choice offers an alternative framework for analyzing attribute trade-offs.

Purpose of the Study:

• To investigate the reflection effect using a stochastic model of choice.
• To examine how individual thresholds influence risk attitudes in gain and loss domains.
• To compare the explanatory power of the stochastic model against cumulative prospect theory.

Main Methods:

• Utilized a stochastic model of choice incorporating a difference variable and an individual threshold.
• Conducted two experiments manipulating gain/loss situations and participant savings.
• Applied model testing to compare goodness-of-fit with cumulative prospect theory.

Main Results:

• Risk attitudes varied with stimuli and individual thresholds, particularly between gain and loss scenarios.
• Lower thresholds in loss situations indicated a general risk-taking tendency.
• Increased savings led to lower individual thresholds, suggesting altered risk-taking behavior.

Conclusions:

• The stochastic model provides a robust framework for understanding the reflection effect.
• Individual thresholds and situational factors significantly modulate risk-taking behavior.
• The tested stochastic model demonstrated superior fit compared to cumulative prospect theory for the observed data.