No-show paradox

Metadata

• Slug: 00293-no-show-paradox
• Type: PARADOX
• Tags: paradox
• Sources: 1

Axioms

• Assume the rules of the domain apply uniformly.
• Assume the observer’s criteria remain fixed.
• Assume classification boundaries stay consistent.
• Assume the model describes the real case.
• Assume repeated steps do not change the outcome.
• Assume no hidden variables are introduced midstream.

Contradictions

• Two reasonable lines of inference yield opposite conclusions
• A global rule conflicts with a local judgment
• A stable resolution appears to violate a starting premise
• Changing the framing reverses the outcome
• Intuition and formalism diverge at the same step

Prompts

• Which assumption is doing the most hidden work?
• What changes if you relax the smallest constraint?
• Does the paradox dissolve or relocate when reframed?
• What is conserved, and what is sacrificed?

Notes

Sources

• https://en.wikipedia.org/wiki/No-show_paradox

Overview

The participation criterion is a voting system criterion that says candidates should never lose an election as a result of receiving too many votes in support. More formally, it says that adding more voters who prefer Alice to Bob should not cause Alice to lose the election to Bob.

Tension

• Two reasonable lines of inference yield opposite conclusions.
• A global rule conflicts with a local judgment.
• A stable resolution appears to violate a starting premise.
• Changing the framing reverses the outcome.
• Intuition and formalism diverge at the same step.

Why It Matters

This entry tests how a stable rule-set can yield unstable conclusions under certain assumptions.

Prompts

• Which assumption is doing the most hidden work?
• What changes if you relax the smallest constraint?
• Does the paradox dissolve or relocate when reframed?
• What is conserved, and what is sacrificed?