Classification by decomposition: a novel approach to classification of symmetric 2×2 games
Date
2021-12-01
Authors
Böörs, Mikael
Wängberg, Tobias
Everitt, Tom
Hutter, Marcus
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Publisher
Springer US
Abstract
In this paper, we provide a detailed review of previous classifications of 2×2 games and suggest a mathematically simple way to classify the symmetric 2×2 games based on a decomposition of the payoff matrix into a cooperative and a zero-sum part. We argue that differences in the interaction between the parts is what makes games interesting in different ways. Our claim is supported by evolutionary computer experiments and findings in previous literature. In addition, we provide a method for using a stereographic projection to create a compact 2-d representation of the game space.
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Keywords
Classification, Symmetric games, 2 x 2 Games, Decomposition, Cooperation and conflict, Simplicity
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Source
Theory and Decision
Type
Journal article
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Access Statement
Open Access
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Creative Commons Attribution 4.0 International License
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