The Optimal Retort

In a satirical fable of mine (Vuong, 2024), Kingfisher's committee builds a prize around three criteria chosen because he excels at them, announced on a banner as "Strength-Beauty-Fraternity." Hawk wins by reading the same hyphens as minus signs: Honor = Strength − Beauty − Fraternity. This note shows that reversal is not merely clever but mathematically optimal: flipping a criterion's sign changes a candidate's margin by exactly twice the rival's lead on it (Proposition 1), so the reading that damages a favorite most is unique, flip every criterion he leads on and nothing else (Proposition 2), and this is exactly Hawk's reading.

Authors

Publication Details

Journal
Knowledge Commons (Lakehead University)
Published
2026-07-18
DOI
https://doi.org/10.17613/6fc8x-et973
Primary Topic
Artificial Intelligence in Games
Type
article
Field-Weighted Citation Impact
0.00
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article

The Optimal Retort

Q. H. Vuong
Knowledge Commons (Lakehead University)
Artificial Intelligence in Games
article

The Optimal Retort

Q. H. Vuong
article en

Abstract

In a satirical fable of mine (Vuong, 2024), Kingfisher's committee builds a prize around three criteria chosen because he excels at them, announced on a banner as "Strength-Beauty-Fraternity." Hawk wins by reading the same hyphens as minus signs: Honor = Strength − Beauty − Fraternity. This note shows that reversal is not merely clever but mathematically optimal: flipping a criterion's sign changes a candidate's margin by exactly twice the rival's lead on it (Proposition 1), so the reading that damages a favorite most is unique, flip every criterion he leads on and nothing else (Proposition 2), and this is exactly Hawk's reading.

Knowledge Commons (Lakehead University)
Quality Education
Openalex Percentile: Top 6%
Artificial Intelligence in Games
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The Optimal Retort — Q. H. Vuong · Knowledge Commons (Lakehead University) (2026) | TGRS Research Map | TGRS