Distributive judgments under uncertainty: Paccioli's game revisited

Area of Science:

• Decision Science
• Cognitive Psychology
• Behavioral Economics

Background:

• Decision-making biases often stem from an inability to disregard past events.
• Coherent decision-making is hindered by difficulties in utilizing future-oriented information.
• Paccioli's game illustrates a dilemma in dividing stakes upon premature interruption.

Purpose of the Study:

• To investigate decision-making strategies in interrupted games.
• To compare the coherence of past-oriented (ratio) versus future-oriented (probability) decision rules.
• To determine the prevalence and robustness of the ratio rule in decision-making.

Main Methods:

• Seven studies were conducted using various testing methods.
• Participants engaged in simulated games of chance and games of skill.
• The influence of extraneous factors like random responding and awareness was assessed.

Main Results:

• The past-oriented ratio rule was consistently observed across different testing methods and game types.
• The ratio rule led to incoherent decisions, unlike the probability rule.
• The use of the ratio rule was independent of factors such as random responding or lack of awareness.

Conclusions:

• Decision biases are often linked to an overreliance on past information.
• Future-oriented probabilistic reasoning promotes more coherent decision-making.
• The ratio rule's prevalence suggests a systematic bias towards past-oriented heuristics in decision-making.