ENGLISH

Classifications of Symmetric Normal Form Games V1

By Nicholas Ham

Book information

Publisher
arxiv
Year
2013
Language
english
Format
PDF
Filesize
246 kB (252150 bytes)
Volume
1
Pages
22\22
Time added
2019-05-02 09:45:44
Game Automorphisms.Game TheorySymmetric Games

Description

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. 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

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