Ebook: Some Structure Properties of Finite Normal-Form Games [Honours Thesis]
Author: Nicholas Ham
- Genre: Mathematics // Game Theory
- Tags: Game Theory Symmetric Games Game Automorphisms. MSC: 91A05 91A06 91A10 91A30 91A70 91B16.
- Year: 2011
- Language: English
- pdf
Game theory provides a mathematical framework for analysing strategic situations involving at least two players. Normal-form games model situations where the players simultaneously pick their moves. In this thesis we explore the strategic structure of finite normal-form games.
We look at three notions of isomorphisms between games, the structural properties that they preserve and under what conditions they are met. We also look at various notions of symmetric games, under what conditions they are met, the structural properties that these notions capture, how to identify them and how to construct them.
We look at three notions of isomorphisms between games, the structural properties that they preserve and under what conditions they are met. We also look at various notions of symmetric games, under what conditions they are met, the structural properties that these notions capture, how to identify them and how to construct them.
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