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Games with imperfect information.
Vincent Gripon 1
(2008-12-16)

Games have been extensively studied, either in computer science, mathematics or even economy. Nevertheless, each discipline has its own interest in using this formalism. Computer science for instance is attached to calculability issues. These results have some direct applications in model checking or compilation. Recently, a new type of game has been introduced: games with imperfect information. They allow the modeling of more sophisticated systems, but bring also new calculability problems. In this document, we introduce a general method to prove the determinacy of any type of game. This method is used several times, and allow us to solve some open problems. This document introduces also several examples of important games stating for important properties. Then, a new type of game unifying the concepts of concurrency and imperfect information is presented. Finally, we discuss of the extension on infinite arenas.
1:  Laboratoire d'informatique Algorithmique : Fondements et Applications (LIAFA)
CNRS : UMR7089 – Université Paris VII - Paris Diderot
Computer Science/Computer Science and Game Theory
games – concurrent games – infinite arenas – imperfect information
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