Preference Games and Sink Equilibria
In this thesis we present a new foundation for game theory. Our model for a game is defined precisely by the response graph, a natural object underlying all classical games. We call this model a preference game. Preference games generalise classical games in that all classical games have an associated preference game. Preference games also have a natural choice of solution concept: the sink equilibria, which are the sink strongly connected components of this graph. These exist in all games, and...[Show more]
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