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Classifications of Symmetric Normal Form Games V1

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In this paper we survey various classifications of symmetric games and their characterisations under the theme of fairness; show that game bijections and game isomorphisms form groupoids; introduce matchings as a convenient characterisation of strategy triviality; and outline how to construct and partially order parameterised symmetric games with numerous examples that range over various classes.

Author(s): Nicholas Ham
Publisher: arXiv
Year: 2013

Language: English
Pages: 22
Tags: Game Theory, Symmetric Games, Game Automorphisms.

1 Introduction......Page 1
2 Background......Page 2
3 Label-Dependent Symmetric Games......Page 3
3.3 Anonymity Classifications......Page 4
3.4 Fairness Classifications......Page 6
4 Morphisms Between Games......Page 8
4.1 Game Bijections......Page 9
4.2 Game Isomorphisms......Page 10
4.4 Strategy Triviality and Matchings......Page 11
5.1 Fairness Classifications......Page 14
5.3 Parameterised Symmetric Games......Page 16
5.4 Examples......Page 18
6 Acknowledgements......Page 22