Bust-a-Move/Puzzle Bobble is NP-Complete
Erik D. Demaine, Stefan Langerman

TL;DR
This paper proves that the classic Puzzle Bobble game is NP-complete, even with perfect information and only three bubble colors, highlighting its computational complexity.
Contribution
It establishes the NP-completeness of Puzzle Bobble under specific conditions, providing a formal computational complexity classification.
Findings
Puzzle Bobble is NP-complete with three colors.
The proof applies to the perfect-information version.
Complexity classification for a popular video game.
Abstract
We prove that the classic 1994 Taito video game, known as Puzzle Bobble or Bust-a-Move, is NP-complete. Our proof applies to the perfect-information version where the bubble sequence is known in advance, and it uses just three bubble colors.
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Taxonomy
TopicsArtificial Intelligence in Games · Digital Games and Media · Gambling Behavior and Treatments
