Taxonomy of PDW payoff schemes: four-cell matrices versus free-choice designs

Research Method · All research methods
Evidence · 5 claims (5 for) · 1 study (1 quant-synthesis), q2 · 0 of 1 report an effect size · 5 claims rest on one study

Description

The review organizes the heterogeneous payoff systems used in post-decision wagering into two broad classes: four-cell matrices, where a low and a high wager option combine with correct and incorrect responses to yield four possible outcomes, and free-choice designs with more than four cells. It reports that "A total of 78 four cell matrices (70% of all reviewed payoff schemes) were retrieved from the literature" and that "In total, 33 such free choice designs were retrieved from the literature (30% of all reviewed payoff schemes)". Within these classes it further distinguishes no-wager/safe-option variants, always-wager-high matrices, no-loss gambling, adjusted wagering, and designs matching other instruments.

Accounts

• Taxonomy of PDW payoff schemes: four-cell matrices versus free-choice designs: The review organizes the heterogeneous payoff systems used in post-decision wagering into two broad classes: four-cell matrices, where a low and a high wager option combine with correct and incorrect responses to yield four possible outcomes, and free-choice designs with more than four cells. It reports that "A total of 78 four cell matrices (70% of all reviewed payoff schemes) were retrieved from the literature" and that "In total, 33 such free choice designs were retrieved from the literature (30% of all reviewed payoff schemes)". Within these classes it further distinguishes no-wager/safe-option variants, always-wager-high matrices, no-loss gambling, adjusted wagering, and designs matching other instruments. (Lorenz Weise (2024))

Claims

• Most four-cell PDW payoff matrices fulfill the intuitive wagering-on-correctness properties [+W]
• In standard free-choice wagering schemes only the lowest and highest wagers are ever optimal [+W]
• Many four-cell PDW payoff matrices imply an optimal strategy of always wagering high [+W]
• No-loss gambling and gains-only designs avoid loss-aversion complications in PDW [+W]
• Free-choice wager designs vary widely in wager categories and often match other instruments [+W]

Related Research Methods

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Key Sources

• Lorenz Weise. (2024). Payoff designs in post-decision wagering: a systematic review. Metacognition and Learning. https://doi.org/10.1007/s11409-024-09411-z

Page metadata

Field	Value
type	research-method
id	taxonomy-of-pdw-payoff-schemes-four-cell-matrices-versus-free-choice-designs
title	Taxonomy of PDW payoff schemes: four-cell matrices versus free-choice designs
description	The review organizes the heterogeneous payoff systems used in post-decision wagering into two broad classes: four-cell matrices, where a low and a high wager option combine with correct and incorrect responses to yield four possible outcomes, and free-choice designs with more than four cells.
status	review
generated	by process:settle-candidates on 2026-10-19
trust	unverified — no one has confirmed this page's content

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