Strong NP-Hardness of Winning from Reachable Positions in Marvel Champions: The Card Game

In this paper, we study the computational complexity of deciding whether a cooperative team can win Marvel Champions: The Card Game from an explicitly supplied game position. We prove strong NP-hardness for positions in the official God of Lies scenario in Epic Multiplayer Mode. The reduction is from 3-Partition and uses only published cards and official rules. The result holds even for Standard-difficulty positions with one player per group, reachable from a legal initial setup by a polynomial-length sequence of actions.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24052101
Primary Topic
Advanced Graph Theory Research
Type
preprint
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preprint

Strong NP-Hardness of Winning from Reachable Positions in Marvel Champions: The Card Game

Elías F. Combarro
1 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Graph Theory Research
preprint

Strong NP-Hardness of Winning from Reachable Positions in Marvel Champions: The Card Game

Elías F. Combarro
preprint en

Abstract

In this paper, we study the computational complexity of deciding whether a cooperative team can win Marvel Champions: The Card Game from an explicitly supplied game position. We prove strong NP-hardness for positions in the official God of Lies scenario in Epic Multiplayer Mode. The reduction is from 3-Partition and uses only published cards and official rules. The result holds even for Standard-difficulty positions with one player per group, reachable from a legal initial setup by a polynomial-length sequence of actions.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Graph Theory Research
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Strong NP-Hardness of Winning from Reachable Positions in Marvel Champions: The Card Game — Elías F. Combarro · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS