Toward a Combinatorial Theory of SET and Related Card Games

2020/10/05 by Jonathan Schneider, Schneider, Jonathan
Business, Management and Accounting · Computer Science · Psychology · #00A08 #05-02 #Artificial Intelligence in Games #Combinatorics (math.CO) #FOS: Mathematics #Gambling Behavior and Treatments #Organizational Management and Leadership

paper · pdf · doi:10.48550/arxiv.2010.01882

openalex publication_date 2020/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a natural equivalence relation on collections of cards from the card game SET, and enumerate some of the equivalence classes, vastly generalizing the standard game. On this basis, we describe several alternative games for the SET deck, including the game of STUN, in which the goal is to find three cards with exactly two values in each attribute.

Related

• SET! From Groups to Games
• Set Equality in Combinatorial Game Theory
• The strange algebra of combinatorial games
• The Computational Complexity of the Game of Set and its Theoretical Applications
• Combinatorial Aspects of the Card Game War