Classification by decomposition: a novel approach to classification of symmetric $$2\times 2$$ 2 × 2 games

Mikael Böörs, Tobias Wängberg (), Tom Everitt and Marcus Hutter
Additional contact information
Mikael Böörs: University of Gothenburg
Tobias Wängberg: Stockholm University
Tom Everitt: Google DeepMind
Marcus Hutter: Google DeepMind

Theory and Decision, 2022, vol. 93, issue 3, No 4, 463-508

Abstract: Abstract In this paper, we provide a detailed review of previous classifications of $$2\times 2$$ 2 × 2 games and suggest a mathematically simple way to classify the symmetric $$2\times 2$$ 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.

Keywords: Classification; Symmetric games; $$2\times 2$$ 2 × 2 Games; Decomposition; Cooperation and conflict; Simplicity (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s11238-021-09850-z Abstract (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:kap:theord:v:93:y:2022:i:3:d:10.1007_s11238-021-09850-z

Ordering information: This journal article can be ordered from
http://www.springer. ... ry/journal/11238/PS2

DOI: 10.1007/s11238-021-09850-z

Access Statistics for this article

Theory and Decision is currently edited by Mohammed Abdellaoui

More articles in Theory and Decision from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().